Dirk Praetorius

Work

TU Wien

Austria

TU Wien
|

Head of Institute of Analysis and Scientific Computing

Austria

→

TU Wien
|

Professor of Numerics of PDEs

Austria

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TU Wien
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Associate Professor

Austria

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TU Wien
|

Assistant Professor

Austria

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University of Kiel
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Research Assistant

Germany

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Education

TU Wien
Austria

Priv.Doz. | Habilitation for Numerical Mathematics

TU Wien
Austria

→

Dr.techn.

University of Kiel
Germany

→

Dipl.-Math.

University of Kiel
Germany

→

Teacher of Mathematics and Latin

Publications

Goal-Oriented Error Estimation and Adaptivity for Stochastic Collocation FEM

Published by

SIAM/ASA Journal on Uncertainty Quantification

Summary

journal-article

Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs

Published by

Journal of Numerical Mathematics

Summary

journal-article

On full linear convergence and optimal complexity of adaptive FEM with inexact solver

Published by

Computers & Mathematics with Applications

Summary

journal-article

Cost-Optimal Adaptive FEM for Semilinear Elliptic PDEs

Summary

book-chapter

Optimal Cost of (Goal-Oriented) Adaptive FEM for General Second-Order Linear Elliptic PDEs

Summary

book-chapter

Computational Methods in Applied Mathematics (CMAM 2022 Conference, Part 1)

Published by

Computational Methods in Applied Mathematics

Summary

journal-article

hp-Robust multigrid solver on locally refined meshes for FEM discretizations of symmetric elliptic PDEs

Published by

ESAIM: Mathematical Modelling and Numerical Analysis

Summary

journal-article

Computational Methods in Applied Mathematics (CMAM 2022 Conference, Part 2)

Published by

Computational Methods in Applied Mathematics

Summary

journal-article

Plain convergence of goal-oriented adaptive FEM

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Computers & Mathematics with Applications

Summary

journal-article

Corrigendum to: Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs

Summary

other

The Mass-Lumped Midpoint Scheme for Computational Micromagnetics: Newton Linearization and Application to Magnetic Skyrmion Dynamics

Published by

Computational Methods in Applied Mathematics

Summary

journal-article

Spin-diffusion model for micromagnetics in the limit of long times

Published by

Journal of Differential Equations

Summary

journal-article

MooAFEM: An object oriented Matlab code for higher-order adaptive FEM for (nonlinear) elliptic PDEs

Published by

Applied Mathematics and Computation

Summary

journal-article

Full-spin-wave-scaled stochastic micromagnetism for mesh-independent simulations of ferromagnetic resonance and reversal

Published by

npj Computational Materials

Summary

journal-article

Benchmark computations for the polarization tensor characterization of small conducting objects

Published by

Applied Mathematical Modelling

Summary

journal-article

Mathematical Foundations of Adaptive Isogeometric Analysis

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Archives of Computational Methods in Engineering

Summary

journal-article

Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics

Published by

Applied Numerical Mathematics

Summary

journal-article

Stable Implementation of Adaptive IGABEM in 2D in MATLAB

Published by

Computational Methods in Applied Mathematics

Summary

journal-article

Adaptive BEM for elliptic PDE systems, part II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations

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Computers & Mathematics with Applications

Summary

journal-article

Adaptive FEM for Parameter-Errors in Elliptic Linear-Quadratic Parameter Estimation Problems

Published by

SIAM Journal on Numerical Analysis

Summary

journal-article

Adaptive BEM for elliptic PDE systems, part I: abstract framework, for weakly-singular integral equations

Published by

Applicable Analysis

Summary

journal-article

Magnetostatics and micromagnetics with physics informed neural networks

Published by

Journal of Magnetism and Magnetic Materials

Summary

journal-article

Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver

Published by

Numerische Mathematik

Summary

journal-article

Rate optimality of adaptive finite element methods with respect to overall computational costs

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Mathematics of Computation

Summary

journal-article

Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian

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Mathematics of Computation

Summary

journal-article

Energy Contraction and Optimal Convergence of Adaptive Iterative Linearized Finite Element Methods

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Computational Methods in Applied Mathematics

Summary

journal-article

Energy contraction and optimal convergence of adaptive iterative linearized finite element methods

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Computational Methods in Applied Mathematics

Summary

journal-article

Reliable Methods of Mathematical Modeling

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Computational Methods in Applied Mathematics

Summary

journal-article

Reliable Methods of Mathematical Modeling

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Computational Methods in Applied Mathematics

Summary

journal-article

Two-Level a Posteriori Error Estimation for Adaptive Multilevel Stochastic Galerkin Finite Element Method

Published by

SIAM/ASA Journal on Uncertainty Quantification

Summary

journal-article

Functional a posteriori error estimates for boundary element methods

Published by

Numerische Mathematik

Summary

journal-article

Instance-optimal goal-oriented adaptivity

Published by

Computational Methods in Applied Mathematics

Summary

journal-article

Optimal convergence rates for goal-oriented FEM with quadratic goal functional

Published by

Computational Methods in Applied Mathematics

Summary

journal-article

Weak–strong uniqueness for the Landau–Lifshitz–Gilbert equation in micromagnetics

Published by

Nonlinear Analysis: Real World Applications

Summary

journal-article

Linear second-order IMEX-type integrator for the (eddy current) Landau–Lifshitz–Gilbert equation

Published by

IMA Journal of Numerical Analysis

Summary

journal-article

Linear second-order IMEX-type integrator for the (eddy current) Landau–Lifshitz–Gilbert equation

Published by

IMA Journal of Numerical Analysis

Summary

journal-article

A short note on plain convergence of adaptive least-squares finite element methods

Published by

Computers & Mathematics with Applications

Summary

journal-article

A short note on plain convergence of adaptive least-squares finite element methods

Published by

Computers and Mathematics with Applications

Summary

journal-article

Dörfler marking with minimal cardinality is a linear complexity problem

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Mathematics of Computation

Summary

journal-article

Dorfler marking with minimal cardinality is a linear complexity problem

Published by

Mathematics of Computation

Summary

journal-article

Optimal convergence behavior of adaptive FEM driven by simple (h−h∕2)-type error estimators

Published by

Computers & Mathematics with Applications

Summary

journal-article

Optimal convergence behavior of adaptive FEM driven by simple (h−h∕2)-type error estimators

Published by

Computers and Mathematics with Applications

Summary

journal-article

Adaptive IGAFEM with optimal convergence rates: T-splines

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Computer Aided Geometric Design

Summary

journal-article

Adaptive isogeometric boundary element methods with local smoothness control

Published by

Mathematical Models and Methods in Applied Sciences

Summary

journal-article

Adaptive BEM for elliptic PDE systems, part I: abstract framework, for weakly-singular integral equations

Published by

Applicable Analysis

Summary

journal-article

Computational micromagnetics with Commics

Published by

Computer Physics Communications

Summary

journal-article

The saturation assumption yields optimal convergence of two-level adaptive BEM

Published by

Applied Numerical Mathematics

Summary

journal-article

Adaptive BEM with optimal convergence rates for the Helmholtz equation

Published by

Computer Methods in Applied Mechanics and Engineering

Summary

journal-article

Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics

Published by

Journal of Computational Physics

Summary

journal-article

Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics

Published by

Journal of Computational Physics

Summary

journal-article

Adaptive Uzawa algorithm for the Stokes equation

Published by

ESAIM: Mathematical Modelling and Numerical Analysis

Summary

journal-article

Adaptive Uzawa algorithm for the Stokes equation

Published by

ESAIM: Mathematical Modelling and Numerical Analysis

Summary

journal-article

Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra

Published by

Journal of Computational Physics

Summary

journal-article

Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra

Published by

Journal of Computational Physics

Summary

journal-article

Optimal adaptivity for the SUPG finite element method

Published by

Computer Methods in Applied Mechanics and Engineering

Summary

journal-article

Optimal adaptivity for the SUPG finite element method

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Computer Methods in Applied Mechanics and Engineering

Summary

journal-article

Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods

Published by

Computer Methods in Applied Mechanics and Engineering

Summary

journal-article

Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods

Published by

Computer Methods in Applied Mechanics and Engineering

Summary

journal-article

Adaptive BEM with optimal convergence rates for the Helmholtz equation

Published by

Computer Methods in Applied Mechanics and Engineering

Summary

journal-article

Convergence of Adaptive Stochastic Galerkin FEM

Published by

SIAM Journal on Numerical Analysis

Summary

journal-article

Convergence of adaptive stochastic Galerkin fem

Published by

SIAM Journal on Numerical Analysis

Summary

journal-article

Adaptive BEM with inexact PCG solver yields almost optimal computational costs

Published by

Numerische Mathematik

Summary

journal-article

Adaptive vertex-centered finite volume methods for general second-order linear elliptic partial differential equations

Published by

IMA Journal of Numerical Analysis

Summary

journal-article

Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics

Published by

Advances in Computational Mathematics

Summary

journal-article

Goal-oriented error estimation and adaptivity for elliptic PDEs with parametric or uncertain inputs

Published by

Computer Methods in Applied Mechanics and Engineering

Summary

journal-article

A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems

Published by

Computers & Mathematics With Applications

Summary

journal-article

A linear Uzawa-type FEM–BEM solver for nonlinear transmission problems

Published by

Computers & Mathematics with Applications

Summary

journal-article

A linear Uzawa-type FEM–BEM solver for nonlinear transmission problems

Published by

Computers and Mathematics with Applications

Summary

journal-article

Convergence of an implicit-explicit midpoint scheme for computational micromagnetics

Published by

Computers & Mathematics With Applications

Summary

journal-article

Convergence of an implicit–explicit midpoint scheme for computational micromagnetics

Published by

Computers and Mathematics with Applications

Summary

journal-article

Rate optimal adaptive FEM with inexact solver for nonlinear operators

Published by

IMA Journal of Numerical Analysis

Summary

journal-article

Adaptive FEM with coarse initial mesh guarantees optimal convergence rates for compactly perturbed elliptic problems

Published by

Computer Methods in Applied Mechanics and Engineering

Summary

journal-article

Adaptive FEM with coarse initial mesh guarantees optimal convergence rates for compactly perturbed elliptic problems

Published by

Computer Methods in Applied Mechanics and Engineering

Summary

journal-article

Adaptive IGAFEM with optimal convergence rates: Hierarchical B-splines

Published by

Mathematical Models & Methods in Applied Sciences

Summary

journal-article

Adaptive IGAFEM with optimal convergence rates: Hierarchical B-splines

Published by

Mathematical Models and Methods in Applied Sciences

Summary

journal-article

Cea-Type Quasi-Optimality and Convergence Rates for (Adaptive) Vertex-Centered FVM

Published by

Finite Volumes For Complex Applications Viii-Methods and Theoretical Aspects, Fvca 8

Summary

book-chapter

Céa-type quasi-optimality and convergence rates for (Adaptive) vertex-centered FVM

Published by

Springer Proceedings in Mathematics and Statistics

Summary

conference-paper

Existence of H-matrix approximants to the inverse of BEM matrices: the hyper-singular integral operator

Published by

Ima Journal of Numerical Analysis

Summary

journal-article

Existence of H-matrix approximants to the inverse of BEM matrices: The hyper-singular integral operator

Published by

IMA Journal of Numerical Analysis

Summary

journal-article

LOCAL INVERSE ESTIMATES FOR NON-LOCAL BOUNDARY INTEGRAL OPERATORS

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Mathematics of Computation

Summary

journal-article

Local inverse estimates for non-local boundary integral operators

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Mathematics of Computation

Summary

journal-article

Local inverse estimates for non-local boundary integral operators

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Mathematics of Computation

Summary

journal-article

Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations

Published by

Calcolo

Summary

journal-article

Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations

Published by

Calcolo

Summary

journal-article

Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations

Published by

Numerische Mathematik

Summary

journal-article

Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations

Published by

Numerische Mathematik

Summary

journal-article

Optimal preconditioning for the symmetric and nonsymmetric coupling of adaptive finite elements and boundary elements

Published by

Numerical Methods For Partial Differential Equations

Summary

journal-article

Optimal preconditioning for the symmetric and nonsymmetric coupling of adaptive finite elements and boundary elements

Published by

Numerical Methods for Partial Differential Equations

Summary

journal-article

Simultaneous quasi-optimal convergence rates in FEM-BEM coupling

Published by

Mathematical Methods in the Applied Sciences

Summary

journal-article

Simultaneous quasi-optimal convergence rates in FEM-BEM coupling

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Mathematical Methods in the Applied Sciences

Summary

journal-article

A self-consistent spin-diffusion model for micromagnetics

Published by

Scientific Reports

Summary

journal-article

A self-consistent spin-diffusion model for micromagnetics

Published by

Scientific Reports

Summary

journal-article

ADAPTIVE VERTEX-CENTERED FINITE VOLUME METHODS WITH CONVERGENCE RATES

Published by

Siam Journal on Numerical Analysis

Summary

journal-article

Adaptive vertex-centered finite volume methods with convergence rates

Published by

SIAM Journal on Numerical Analysis

Summary

journal-article

AN ABSTRACT ANALYSIS OF OPTIMAL GOAL-ORIENTED ADAPTIVITY

Published by

Siam Journal on Numerical Analysis

Summary

journal-article

An abstract analysis of optimal goal-oriented adaptivity

Published by

SIAM Journal on Numerical Analysis

Summary

journal-article

Adaptive 2D IGA boundary element methods

Published by

Engineering Analysis With Boundary Elements

Summary

journal-article

Adaptive 2D IGA boundary element methods

Published by

Engineering Analysis with Boundary Elements

Summary

journal-article

Adaptive boundary element methods for optimal convergence of point errors

Published by

Numer. Math.

Summary

journal-article

Adaptive boundary element methods for optimal convergence of point errors

Published by

Numerische Mathematik

Summary

journal-article

Areal density optimizations for heat-assisted magnetic recording of high-density media

Published by

Journal of Applied Physics

Summary

journal-article

Areal density optimizations for heat-assisted magnetic recording of high-density media

Published by

Journal of Applied Physics

Summary

journal-article

Basic noise mechanisms of heat-assisted-magnetic recording

Published by

Journal of Applied Physics

Summary

journal-article

Basic noise mechanisms of heat-assisted-magnetic recording

Published by

Journal of Applied Physics

Summary

journal-article

Coupling of dynamical micromagnetism and a stationary spin drift-diffusion equation: A step towards a fully self-consistent spintronics framework

Published by

Physica B-Condensed Matter

Summary

journal-article

Coupling of dynamical micromagnetism and a stationary spin drift-diffusion equation: A step towards a fully self-consistent spintronics framework

Published by

Physica B: Condensed Matter

Summary

journal-article

Efficient numerical computation of direct exchange areas in thermal radiation analysis

Published by

Numerical Heat Transfer Part B-Fundamentals

Summary

journal-article

Efficient numerical computation of direct exchange areas in thermal radiation analysis

Published by

Numerical Heat Transfer, Part B: Fundamentals

Summary

journal-article

Heat-assisted magnetic recording of bit-patterned media beyond 10 Tb/in(2)

Published by

Applied Physics Letters

Summary

journal-article

Heat-assisted magnetic recording of bit-patterned media beyond 10 Tb/in<sup>2</sup>

Published by

Applied Physics Letters

Summary

journal-article

Influence of grain size and exchange interaction on the LLB modeling procedure

Published by

Journal of Applied Physics

Summary

journal-article

Influence of grain size and exchange interaction on the LLB modeling procedure

Published by

Journal of Applied Physics

Summary

journal-article

Existence of H-matrix approximants to the inverses of bem matrices: The simple-layer operator

Published by

Mathematics of Computation

Summary

journal-article

Optimal additive Schwarz methods for the hp-BEM: The hypersingular integral operator in 3D on locally refined meshes

Published by

Computers & Mathematics With Applications

Summary

journal-article

Energy norm based error estimators for adaptive BEM for hypersingular integral equations

Published by

Applied Numerical Mathematics

Summary

journal-article

Energy norm based error estimators for adaptive BEM for hypersingular integral equations

Published by

Applied Numerical Mathematics

Summary

journal-article

Energy norm based error estimators for adaptive BEM for hypersingular integral equations

Published by

Applied Numerical Mathematics

Summary

journal-article

A CONVERGENT LINEAR FINITE ELEMENT SCHEME FOR THE MAXWELL-LANDAU-LIFSHITZ-GILBERT EQUATIONS

Published by

Electronic Transactions on Numerical Analysis

Summary

journal-article

A convergent linear finite element scheme for the Maxwell-landau-lifshitz-gilbert equations

Published by

Electronic Transactions on Numerical Analysis

Summary

journal-article

A three-dimensional spin-diffusion model for micromagnetics

Published by

Scientific Reports

Summary

journal-article

A three-dimensional spin-diffusion model for micromagnetics

Published by

Scientific Reports

Summary

journal-article

Adaptive Boundary Element Methods A Posteriori Error Estimators, Adaptivity, Convergence, and Implementation

Published by

Archives of Computational Methods in Engineering

Summary

journal-article

Adaptive Boundary Element Methods: A Posteriori Error Estimators, Adaptivity, Convergence, and Implementation

Published by

Archives of Computational Methods in Engineering

Summary

journal-article

EXISTENCE OF H-MATRIX APPROXIMANTS TO THE INVERSES OF BEM MATRICES: THE SIMPLE-LAYER OPERATOR

Published by

Mathematics of Computation

Summary

journal-article

FEM-BEM coupling for the large-body limit in micromagnetics

Published by

Journal of Computational and Applied Mathematics

Summary

journal-article

FEM-BEM coupling for the large-body limit in micromagnetics

Published by

Journal of Computational and Applied Mathematics

Summary

journal-article

H-matrix approximability of the inverses of FEM matrices

Published by

Numerische Mathematik

Summary

journal-article

H-matrix approximability of the inverses of FEM matrices

Published by

Numerische Mathematik

Summary

journal-article

On 2D Newest Vertex Bisection: Optimality of Mesh-Closure and H-1-Stability of L-2-Projection (vol 20, pg 549, 2004)

Published by

Constructive Approximation

Summary

journal-article

Erratum to: On 2D Newest Vertex Bisection: Optimality of Mesh-Closure and H<sup>1</sup>-Stability of L<inf>2</inf> -Projection(Constr Approx, (2015), DOI 10.1007/s00365-013-9192-4)

Published by

Constructive Approximation

Summary

journal-article

On a decoupled linear FEM integrator for eddy-current-LLG

Published by

Applicable Analysis

Summary

journal-article

On a decoupled linear FEM integrator for eddy-current-LLG

Published by

Applicable Analysis

Summary

journal-article

Optimal additive Schwarz methods for the hp-BEM: The hypersingular integral operator in 3D on locally refined meshes

Published by

Computers and Mathematics with Applications

Summary

journal-article

QUASI-OPTIMAL CONVERGENCE RATES FOR ADAPTIVE BOUNDARY ELEMENT METHODS WITH DATA APPROXIMATION. PART II: HYPER-SINGULAR INTEGRAL EQUATION

Published by

Electronic Transactions on Numerical Analysis

Summary

journal-article

Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. Part II: Hyper-singular integral equation

Published by

Electronic Transactions on Numerical Analysis

Summary

journal-article

Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations

Published by

Computer Methods in Applied Mechanics and Engineering

Summary

journal-article

Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations

Published by

Computer Methods in Applied Mechanics and Engineering

Summary

journal-article

Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems

Published by

Numerische Mathematik

Summary

journal-article

Stability of symmetric and nonsymmetric FEM–BEM couplings for nonlinear elasticity problems

Published by

Numerische Mathematik

Summary

journal-article

A POSTERIORI ERROR ESTIMATION FOR ADAPTIVE IGA BOUNDARY ELEMENT METHODS

Published by

11th World Congress on Computational Mechanics; 5th European Conference on Computational Mechanics; 6th European Conference on Computational Fluid Dynamics, Vols Ii - Iv

Summary

journal-article

A decoupled and unconditionally convergent linear FEM integrator for the Landau-Lifshitz-Gilbert equation with magnetostriction

Published by

Ima Journal of Numerical Analysis

Summary

journal-article

A decoupled and unconditionally convergent linear FEM integrator for the Landau-Lifshitz-Gilbert equation with magnetostriction

Published by

IMA Journal of Numerical Analysis

Summary

journal-article

Convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data

Published by

Journal of Computational and Applied Mathematics

Summary

journal-article

A posteriori error estimation for adaptive IGA boundary element methods

Published by

11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014

Summary

conference-paper

ADAPTIVE FEM WITH OPTIMAL CONVERGENCE RATES FOR A CERTAIN CLASS OF NONSYMMETRIC AND POSSIBLY NONLINEAR PROBLEMS

Published by

Siam Journal on Numerical Analysis

Summary

journal-article

Adaptive FEM with optimal convergence rates for a certain class of nonsymmetric and possibly nonlinear problems

Published by

SIAM Journal on Numerical Analysis

Summary

journal-article

Axioms of adaptivity

Published by

Computers & Mathematics With Applications

Summary

journal-article

Axioms of adaptivity

Published by

Computers and Mathematics with Applications

Summary

journal-article

A New Proof for Existence of H-Matrix Approximants to the Inverse of FEM Matrices: The Dirichlet Problem for the Laplacian

Published by

Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012

Summary

book-chapter

CONVERGENCE OF ADAPTIVE FEM FOR SOME ELLIPTIC OBSTACLE PROBLEM WITH INHOMOGENEOUS DIRICHLET DATA

Published by

International Journal of Numerical Analysis and Modeling

Summary

journal-article

Convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data

Published by

Journal of Computational and Applied Mathematics

Summary

journal-article

Convergence of adaptive BEM and adaptive FEM-BEM coupling for estimators without h-weighting factor

Published by

Computational Methods in Applied Mathematics

Summary

journal-article

Convergence of adaptive FEM for some elliptic obstacle problem with inhomogeneous Dirichlet data

Published by

International Journal of Numerical Analysis and Modeling

Summary

journal-article

HILBERT - a MATLAB implementation of adaptive 2D-BEM

Published by

Numerical Algorithms

Summary

journal-article

HILBERT — a MATLAB implementation of adaptive 2D-BEM: HILBERT Is a Lovely Boundary Element Research Tool

Published by

Numerical Algorithms

Summary

journal-article

MIXED CONFORMING ELEMENTS FOR THE LARGE-BODY LIMIT IN MICROMAGNETICS

Published by

Mathematical Models & Methods in Applied Sciences

Summary

journal-article

Mixed conforming elements for the large-body limit in micromagnetics

Published by

Mathematical Models and Methods in Applied Sciences

Summary

journal-article

Multiscale modeling in micromagnetics: Existence of solutions and numerical integration

Published by

Mathematical Models & Methods in Applied Sciences

Summary

journal-article

Multiscale modeling in micromagnetics: Existence of solutions and numerical integration

Published by

Mathematical Models and Methods in Applied Sciences

Summary

journal-article

OPTIMAL PRECONDITIONING FOR THE COUPLING OF ADAPTIVE FINITE AND BOUNDARY ELEMENTS

Published by

11th World Congress on Computational Mechanics; 5th European Conference on Computational Mechanics; 6th European Conference on Computational Fluid Dynamics, Vols Ii - Iv

Summary

journal-article

Optimal preconditioning for the coupling of adaptive finite and boundary elements

Published by

11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014

Summary

conference-paper

Quasi-optimal convergence rates for adaptive boundary element methods with data approximation, part I: weakly-singular integral equation

Published by

Calcolo

Summary

journal-article

Quasi-optimal convergence rates for adaptive boundary element methods with data approximation, part I: weakly-singular integral equation

Published by

Calcolo

Summary

journal-article

RATE OPTIMALITY OF ADAPTIVE ALGORITHMS: AN AXIOMATIC APPROACH

Published by

11th World Congress on Computational Mechanics; 5th European Conference on Computational Mechanics; 6th European Conference on Computational Fluid Dynamics, Vols Ii - Iv

Summary

journal-article

Rate optimality of adaptive algorithms: An axiomatic approach

Published by

11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014

Summary

conference-paper

Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator

Published by

Computers & Mathematics With Applications

Summary

journal-article

Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator

Published by

Computers and Mathematics with Applications

Summary

journal-article

ZZ-Type a posteriori error estimators for adaptive boundary element methods on a curve

Published by

Engineering Analysis With Boundary Elements

Summary

journal-article

ZZ-Type a posteriori error estimators for adaptive boundary element methods on a curve

Published by

Engineering Analysis with Boundary Elements

Summary

journal-article

A new proof for existence of H-matrix approximants to the inverse of FEM matrices: The Dirichlet problem for the Laplacian

Published by

Lecture Notes in Computational Science and Engineering

Summary

book

Convergence of Adaptive BEM and Adaptive FEM-BEM Coupling for Estimators Without h-Weighting Factor

Published by

Computational Methods in Applied Mathematics

Summary

journal-article

Mechanical oscillations of magnetic strips under the influence of external field

Published by

EPJ Web of Conferences

Summary

conference-paper

Simple error estimators for the Galerkin BEM for some hypersingular integral equation in 2D

Published by

Applicable Analysis

Summary

journal-article

Simple error estimators for the Galerkin BEM for some hypersingular integral equation in 2D

Published by

Applicable Analysis

Summary

journal-article

Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity

Published by

Computational Mechanics

Summary

journal-article

Combining micromagnetism and magnetostatic Maxwell equations for multiscale magnetic simulations

Published by

Journal of Magnetism and Magnetic Materials

Summary

journal-article

Combining micromagnetism and magnetostatic Maxwell equations for multiscale magnetic simulations

Published by

Journal of Magnetism and Magnetic Materials

Summary

journal-article

Convergence of Adaptive 3D BEM for Weakly Singular Integral Equations Based on Isotropic Mesh-Refinement

Published by

Numerical Methods For Partial Differential Equations

Summary

journal-article

Convergence of adaptive 3D BEM for weakly singular integral equations based on isotropic mesh-refinement

Published by

Numerical Methods for Partial Differential Equations

Summary

journal-article

Convergence of adaptive FEM for some elliptic obstacle problem

Published by

Applicable Analysis

Summary

journal-article

Convergence of adaptive FEM for some elliptic obstacle problem

Published by

Applicable Analysis

Summary

journal-article

EACH H-1/2-STABLE PROJECTION YIELDS CONVERGENCE AND QUASI-OPTIMALITY OF ADAPTIVE FEM WITH INHOMOGENEOUS DIRICHLET DATA IN R-d

Published by

Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique

Summary

journal-article

Each H<sup>1/2</sup>-stable projection yields convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data in ℝ<sup>d</sup>

Published by

ESAIM: Mathematical Modelling and Numerical Analysis

Summary

journal-article

Efficiency and Optimality of Some Weighted-Residual Error Estimator for Adaptive 2D Boundary Element Methods

Published by

Computational Methods in Applied Mathematics

Summary

journal-article

Efficiency and optimality of some weighted-residual error estimator for adaptive 2D boundary element methods

Published by

Computational Methods in Applied Mathematics

Summary

journal-article

Classical FEM-BEM coupling methods: Nonlinearities, well-posedness, and adaptivity

Published by

Computational Mechanics

Summary

journal-article

On 2D Newest Vertex Bisection: Optimality of Mesh-Closure and H (1)-Stability of L (2)-Projection

Published by

Constructive Approximation

Summary

journal-article

On 2D Newest Vertex Bisection: Optimality of Mesh-Closure and H<sup>1</sup>-Stability of L<inf>2</inf>-Projection

Published by

Constructive Approximation

Summary

journal-article

QUASI-OPTIMAL CONVERGENCE RATE FOR AN ADAPTIVE BOUNDARY ELEMENT METHOD

Published by

Siam Journal on Numerical Analysis

Summary

journal-article

Quasi-optimal convergence rate for an adaptive boundary element method

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SIAM Journal on Numerical Analysis

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journal-article

Estimator reduction and convergence of adaptive BEM

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Applied Numerical Mathematics

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journal-article

3D FEM-BEM-coupling method to solve magnetostatic Maxwell equations

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Journal of Magnetism and Magnetic Materials

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journal-article

3D FEM-BEM-coupling method to solve magnetostatic Maxwell equations

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Journal of Magnetism and Magnetic Materials

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journal-article

A posteriori error estimates for the Johnson-Nedelec FEM-BEM coupling

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Engineering Analysis With Boundary Elements

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journal-article

A posteriori error estimates for the JohnsonNédélec FEMBEM coupling

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Engineering Analysis with Boundary Elements

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journal-article

CONVERGENCE OF ADAPTIVE BOUNDARY ELEMENT METHODS

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Journal of Integral Equations and Applications

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journal-article

Convergence of adaptive boundary element methods

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Journal of Integral Equations and Applications

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journal-article

CONVERGENCE OF SOME ADAPTIVE FEM-BEM COUPLING FOR ELLIPTIC BUT POSSIBLY NONLINEAR INTERFACE PROBLEMS

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Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique

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journal-article

Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems

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ESAIM: Mathematical Modelling and Numerical Analysis

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journal-article

Convergence of adaptive BEM for some mixed boundary value problem

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Applied Numerical Mathematics

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journal-article

Convergence of adaptive BEM for some mixed boundary value problem

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Applied Numerical Mathematics

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journal-article

Estimator reduction and convergence of adaptive BEM

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Applied Numerical Mathematics

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journal-article

Mechanical Oscillations of Magnetic Strips under the Influence of External Field

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Jems 2012 - Joint European Magnetic Symposia

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journal-article

Numerical quadratic energy minimization bound to convex constraints in thin-film micromagnetics

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Numerische Mathematik

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journal-article

Numerical quadratic energy minimization bound to convex constraints in thin-film micromagnetics

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Numerische Mathematik

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journal-article

Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy

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Journal of Numerical Mathematics

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journal-article

Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy

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Journal of Numerical Mathematics

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journal-article

Adaptive coupling of FEM and BEM: Simple error estimators and convergence

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PAMM

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journal-article

Convergence and quasi‐optimality of adaptive FEM with inhomogeneous Dirichlet data

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PAMM

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journal-article

Convergence of adaptive FEM for elliptic obstacle problems

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PAMM

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journal-article

Convergent geometric integrator for the Landau-Lifshitz-Gilbert equation in micromagnetics

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PAMM

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journal-article

Efficient implementation of adaptive P1-FEM in Matlab

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Computational Methods in Applied Mathematics Comput. Methods Appl. Math.

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journal-article

Efficient implementation of adaptive P1-FEM in Matlab

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Computational Methods in Applied Mathematics

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journal-article

ON THE CONVERGENCE OF ADAPTIVE NONCONFORMING FINITE ELEMENT METHODS FOR A CLASS OF CONVEX VARIATIONAL PROBLEMS

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Siam Journal on Numerical Analysis

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journal-article

On the convergence of adaptive nonconforming finite element methods for a class of convex variational problems

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SIAM Journal on Numerical Analysis

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journal-article

COLLOCATION METHODS FOR INDEX 1 DAES WITH A SINGULARITY OF THE FIRST KIND

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Mathematics of Computation

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journal-article

Collocation methods for index 1 DAEs with a singularity of the first kind

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Mathematics of Computation

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journal-article

Convergence of simple adaptive Galerkin schemes based on h-h/2 error estimators

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Numerische Mathematik

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journal-article

Convergence of simple adaptive Galerkin schemes based on h - h/2 error estimators

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Numerische Mathematik

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journal-article

Energy norm based a posteriori error estimation for boundary element methods in two dimensions

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Applied Numerical Mathematics

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journal-article

Energy norm based a posteriori error estimation for boundary element methods in two dimensions

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Applied Numerical Mathematics

Summary

journal-article

A POSTERIORI ERROR ESTIMATE AND ADAPTIVE MESH REFINEMENT FOR THE CELL-CENTERED FINITE VOLUME METHOD FOR ELLIPTIC BOUNDARY VALUE PROBLEMS

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Siam Journal on Numerical Analysis

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journal-article

A posteriori error estimate and adaptive mesh refinement for the cell-centered finite volume method for elliptic boundary value problems

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SIAM Journal on Numerical Analysis

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journal-article

Adaptive cell-centered finite volume method

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Finite Volumes for Complex Applications V

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journal-article

Simple a posteriori error estimators for the h-version of the boundary element method

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Computing

Summary

journal-article

Simple a posteriori error estimators for the h-version of the boundary element method

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Computing (Vienna/New York)

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journal-article

Analysis and numerical simulation of magnetic forces between rigid polygonal bodies. Part I: Analysis

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Continuum Mechanics and Thermodynamics

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journal-article

Analysis and numerical simulation of magnetic forces between rigid polygonal bodies. Part I: Analysis

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Continuum Mechanics and Thermodynamics

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journal-article

Analysis and numerical simulation of magnetic forces between rigid polygonal bodies. Part II: Numerical simulation

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Continuum Mechanics and Thermodynamics

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journal-article

Analysis and numerical simulation of magnetic forces between rigid polygonal bodies. Part II: Numerical simulation

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Continuum Mechanics and Thermodynamics

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journal-article

Averaging Techniques for A Posteriori Error Control in Finite Element and Boundary Element Analysis

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Lecture Notes in Applied and Computational Mechanics

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journal-article

Averaging techniques for a posteriori error control in finite element and boundary element analysis

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Lecture Notes in Applied and Computational Mechanics

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book

Averaging techniques for the a posteriori bem error control for a hypersingular integral equation in two dimensions

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Siam Journal on Scientific Computing

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journal-article

Averaging techniques for the a posteriori BEM error control for a hypersingular integral equation in two dimensions

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SIAM Journal on Scientific Computing

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journal-article

On stabilized models in micromagnetics

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Computational Mechanics

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journal-article

On stabilized models in micromagnetics

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Computational Mechanics

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journal-article

Strong convergence for large bodies in micromagnetics

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PAMM

Summary

journal-article

Averaging techniques for the effective numerical solution of Symm's integral equation of the first kind

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Siam Journal on Scientific Computing

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journal-article

Averaging techniques for the effective numerical solution of symm's integral equation of the first kind

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SIAM Journal on Scientific Computing

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journal-article

H-matrix techniques for stray-field computations in computational micromagnetics

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Large-Scale Scientific Computing

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book-chapter

H-matrix techniques for stray-field computations in computational micromagnetics

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Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Summary

book

Applications of H-matrix techniques in micromagnetics

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Computing

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journal-article

Applications of ℋ-matrix techniques in micromagnetics

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Computing (Vienna/New York)

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journal-article

Effective simulation of a macroscopic model for stationary micromagnetics

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Computer Methods in Applied Mechanics and Engineering

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journal-article

Effective simulation of a macroscopic model for stationary micromagnetics

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Computer Methods in Applied Mechanics and Engineering

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journal-article

Magnetic Force Formulae for Magnets at Small Distances

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PAMM

Summary

journal-article

New a posteriori error estimates for singular boundary value problems

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Numerical Algorithms

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journal-article

New a posteriori error estimates for singular boundary value problems

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Numerical Algorithms

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journal-article

Numerical analysis for a macroscopic model in micromagnetics

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Siam Journal on Numerical Analysis

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journal-article

Numerical analysis for a macroscopic model in micromagnetics

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SIAM Journal on Numerical Analysis

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journal-article

Analysis of the operator Delta(-1) div arising in magnetic models

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Zeitschrift Fur Analysis Und Ihre Anwendungen

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journal-article

Analysis of the operator Δ<sup>-1</sup>div arising in magnetic models

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Zeitschrift fur Analysis und ihre Anwendung

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journal-article

On stabilized models in micromagnetics

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ECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering

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conference-paper

Residual-based a posteriori error estimate for hypersingular equation on surfaces - Dedicated to W. L. Wendland on the occasion of his 65th birthday

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Numerische Mathematik

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journal-article

Residual-based a posteriori error estimate for hypersingular equation on surfaces

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Numerische Mathematik

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journal-article

A posteriori error control in adaptive qualocation boundary element analysis for a logarithmic-kernel integral equation of the first kind

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Siam Journal on Scientific Computing

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journal-article

A posteriori error control in adaptive qualocation boundary element analysis for a logarithmic-kernel integral equation of the first kind

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SIAM Journal on Scientific Computing

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journal-article

Remarks and examples concerning distance ellipsoids

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Colloquium Mathematicum

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journal-article

Remarks and examples concerning distance ellipsoids

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Colloquium Mathematicum

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journal-article