Karel Van Bockstal

About

Dr K. Van Bockstal obtained his PhD (in mathematical engineering) in 2015 at Ghent University, Belgium, and is currently a postdoctoral researcher (Ghent Analysis & PDE Centre) at the Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University. His research interests are related to the mathematical analysis of evolutionary partial differential equations as well as to the development of numerical algorithms and their numerical implementation. This research focus concerns direct and inverse problems in heat transfer, elasticity, electromagnetism and thermo-elasticity. He was awarded the EAIP Young Scientist Award of the 8th International Conference "Inverse Problems: Modelling and Simulation", May 2016.

Work

Ghent University
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Postdoctoral Researcher

Belgium

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Ghent University
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Postdoctoral Fellow (FWO Research Foundation-Flanders)

Belgium

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Ghent University
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Postdoctoral Fellow (FWO Research Foundation-Flanders)

Belgium

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Universiteit Gent
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Postdoctoral assistant

Belgium

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Universiteit Gent
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Junior Assistant

Belgium

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Universiteit Gent
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Doctoral Fellow

Belgium

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Education

Universiteit Gent
Belgium

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Doctor of Philosophy (Ph.D.), Mathematical Engineering

Universiteit Gent
Belgium

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Specific Teacher Training Programme in Mathematics

Universiteit Gent
Belgium

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Master of Science in Mathematics: Applied Mathematics

Publications

Numerical algorithms for the reconstruction of space-dependent sources in thermoelasticity

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Mathematics and Computers in Simulation

Summary

journal-article

On time‐fractional partial differential equations of time‐dependent piecewise constant order

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Mathematical Methods in the Applied Sciences

Summary

journal-article

A numerical scheme for solving an induction heating problem with moving non-magnetic conductor

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Computers & Mathematics with Applications

Summary

journal-article

On the Rothe-Galerkin spectral discretization for a class of variable fractional-order nonlinear wave equations

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Fractional Calculus and Applied Analysis

Summary

journal-article

Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation

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Fractional Calculus and Applied Analysis

Summary

journal-article

Theoretical and numerical aspects for the longtime behavior of nonlinear delay time Caputo fractional reaction–diffusion equations

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Nonlinear Dynamics

Summary

journal-article

An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion–reaction equations with fixed delay

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Journal of Computational and Applied Mathematics

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journal-article

On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction–diffusion equation with delay

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Communications in Nonlinear Science and Numerical Simulation

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journal-article

On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction–diffusion equation with delay

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Communications in Nonlinear Science and Numerical Simulation

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journal-article

A solely time-dependent source reconstruction in a multiterm time-fractional order diffusion equation with non-smooth solutions

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Numerical Algorithms

Summary

journal-article

A solely time-dependent source reconstruction in a multiterm time-fractional order diffusion equation with non-smooth solutions

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Numerical Algorithms

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journal-article

Finite element method for the reconstruction of a time-dependent heat source in isotropic thermoelasticity systems of type-III

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Zeitschrift für angewandte Mathematik und Physik

Summary

journal-article

Finite element method for the reconstruction of a time-dependent heat source in isotropic thermoelasticity systems of type-III

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Zeitschrift fur Angewandte Mathematik und Physik

Summary

journal-article

Uniqueness for inverse source problems of determining a space-dependent source in thermoelastic systems

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Journal of Inverse and Ill-posed Problems

Summary

journal-article

Uniqueness for inverse source problems of determining a space-dependent source in thermoelastic systems

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Journal of Inverse and Ill-Posed Problems

Summary

journal-article

Existence of a weak solution to a nonlinear induction hardening problem with Leblond–Devaux model for a steel workpiece

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Communications in Nonlinear Science and Numerical Simulation

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journal-article

Existence of a weak solution to a nonlinear induction hardening problem with Leblond–Devaux model for a steel workpiece

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Communications in Nonlinear Science and Numerical Simulation

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journal-article

A space-time discretization for an electromagnetic problem with moving non-magnetic conductor

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Applied Numerical Mathematics

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journal-article

A space-time discretization for an electromagnetic problem with moving non-magnetic conductor

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Applied Numerical Mathematics

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journal-article

A full discretization for the saddle-point approach of a degenerate parabolic problem involving a moving body

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Applied Mathematics Letters

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journal-article

A full discretization for the saddle-point approach of a degenerate parabolic problem involving a moving body

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Applied Mathematics Letters

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journal-article

On a Reconstruction of a Solely Time-Dependent Source in a Time-Fractional Diffusion Equation with Non-smooth Solutions

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Journal of Scientific Computing

Summary

journal-article

On a Reconstruction of a Solely Time-Dependent Source in a Time-Fractional Diffusion Equation with Non-smooth Solutions

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Journal of Scientific Computing

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journal-article

Space-dependent variable-order time-fractional wave equation: existence and uniqueness of its weak solution

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Quaestiones Mathematicae

Summary

journal-article

Existence of a unique weak solution to a non-autonomous time-fractional diffusion equation with space-dependent variable order

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Advances in Difference Equations

Summary

journal-article

Existence of a unique weak solution to a non-autonomous time-fractional diffusion equation with space-dependent variable order

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Advances in Difference Equations

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journal-article

Thermoelastic problem in the setting of dual-phase-lag heat conduction: Existence and uniqueness of a weak solution

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Journal of Mathematical Analysis and Applications

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journal-article

Thermoelastic problem in the setting of dual-phase-lag heat conduction: Existence and uniqueness of a weak solution

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Journal of Mathematical Analysis and Applications

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journal-article

Uniqueness for Inverse Source Problems of Determining a Space-Dependent Source in Time-Fractional Equations with Non-Smooth Solutions

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Fractal and Fractional

Summary

journal-article

Uniqueness for Inverse Source Problems of Determining a Space-Dependent Source in Time-Fractional Equations with Non-Smooth Solutions

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Fractal and Fractional

Summary

journal-article

Uniqueness for inverse source problems of determining a space-dependent source in time-fractional equations with non-smooth solutions

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Fractal and Fractional

Summary

journal-article

A time discrete scheme for an electromagnetic contact problem with moving conductor

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Applied Mathematics and Computation

Summary

journal-article

A time discrete scheme for an electromagnetic contact problem with moving conductor

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Applied Mathematics and Computation

Summary

journal-article

Error estimates for the time discretization of an electromagnetic contact problem with moving non-magnetic conductor

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Computers & Mathematics with Applications

Summary

journal-article

Error estimates for the time discretization of an electromagnetic contact problem with moving non-magnetic conductor

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Computers and Mathematics with Applications

Summary

journal-article

Existence and uniqueness of a weak solution to a non-autonomous time-fractional diffusion equation (of distributed order)

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Applied Mathematics Letters

Summary

journal-article

Existence and uniqueness of a weak solution to a non-autonomous time-fractional diffusion equation (of distributed order)

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Applied Mathematics Letters

Summary

journal-article

Existence of a Unique Weak Solution to a Nonlinear Non-Autonomous Time-Fractional Wave Equation (of Distributed-Order)

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Mathematics

Summary

journal-article

Existence of a Unique Weak Solution to a Nonlinear Non-Autonomous Time-Fractional Wave Equation (of Distributed-Order)

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Mathematics

Summary

journal-article

Existence of a unique weak solution to a nonlinear non-autonomous time-fractional wave equation (of distributed-order)

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Mathematics

Summary

journal-article

Existence of a Unique Weak Solution to a Nonlinear Non-Autonomous Time-Fractional Wave Equation (of Distributed-Order)

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Mathematics

Summary

journal-article

The reconstruction of a solely time-dependent load in a simply supported non-homogeneous Euler–Bernoulli beam

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Applied Mathematical Modelling

Summary

journal-article

The reconstruction of a solely time-dependent load in a simply supported non-homogeneous Euler–Bernoulli beam

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Applied Mathematical Modelling

Summary

journal-article

Identification of an unknown spatial load distribution in a vibrating beam or plate from the final state

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Journal of Inverse and Ill-posed Problems

Summary

journal-article

Identification of an unknown spatial load distribution in a vibrating beam or plate from the final state

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Journal of Inverse and Ill-Posed Problems

Summary

journal-article

Advanced COmputational Methods in ENgineering(ACOMEN 2017)

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Computers and Mathematics with Applications

Summary

journal-article

Uniqueness for an inverse source problem of determining a space dependent source in a time-fractional diffusion equation

Published by

Applied Mathematics Letters

Summary

journal-article

The reconstruction of a time-dependent source from a surface measurement for full Maxwell’s equations by means of the potential field method

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Computers & Mathematics with Applications

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journal-article

The reconstruction of a time-dependent source from a surface measurement for full Maxwell's equations by means of the potential field method

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Computers and Mathematics with Applications

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journal-article

Recovery of a time-dependent heat source in one-dimensional thermoelasticity of type-III

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Inverse Problems in Science and Engineering

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journal-article

Identification of a memory kernel in a nonlinear integrodifferential parabolic problem

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Applied Numerical Mathematics

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journal-article

Recovery of a space-dependent vector source in anisotropic thermoelastic systems

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Computer Methods in Applied Mechanics and Engineering

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Recovery of a space-dependent vector source in anisotropic thermoelastic systems

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Computer Methods in Applied Mechanics and Engineering

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journal-article

Error estimates for the time discretization of a semilinear integrodifferential parabolic problem with unknown memory kernel

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NUMERICAL MATHEMATICS : THEORY, METHODS AND APPLICATIONS

Summary

journal-article

Error Estimates for the Time Discretization of a Semilinear Integrodifferential Parabolic Problem with Unknown Memory Kernel

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Numerical Mathematics

Summary

journal-article

Identification of a memory kernel in a nonlinear integrodifferential parabolic problem

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Applied Numerical Mathematics

Summary

journal-article

Recovery of a time-dependent heat source in one-dimensional thermoelasticity of type-III

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Inverse Problems in Science and Engineering

Summary

journal-article

Identification of a memory kernel in a semilinear integrodifferential parabolic problem with applications in heat conduction with memory

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Journal of Computational and Applied Mathematics

Summary

journal-article

Identification of a memory kernel in a semilinear integrodifferential parabolic problem with applications in heat conduction with memory

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Journal of Computational and Applied Mathematics

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journal-article

Error analysis in the reconstruction of a convolution kernel in a semilinear parabolic problem with integral overdetermination

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Journal of Computational and Applied Mathematics

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journal-article

Error analysis in the reconstruction of a convolution kernel in a semilinear parabolic problem with integral overdetermination

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Journal of Computational and Applied Mathematics

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journal-article

Error estimates for the full discretization of a nonlocal parabolic model for type-I superconductors

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Journal of Computational and Applied Mathematics

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journal-article

Error estimates for the full discretization of a nonlocal parabolic model for type-I superconductors

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Journal of Computational and Applied Mathematics

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journal-article

A macroscopic model for an intermediate state between type-I and type-II superconductivity

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Numerical Methods for Partial Differential Equations

Summary

journal-article

A macroscopic model for an intermediate state between type-I and type-II superconductivity

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Numerical Methods for Partial Differential Equations

Summary

journal-article

The well-posedness of a nonlocal hyperbolic model for type-I superconductors

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Journal of Mathematical Analysis and Applications

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journal-article

The well-posedness of a nonlocal hyperbolic model for type-I superconductors

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Journal of Mathematical Analysis and Applications

Summary

journal-article

Numerical techniques for partial differential equations in superconductivity and thermoelasticity

Summary

dissertation-thesis

Recovery of a space-dependent vector source in thermoelastic systems

Published by

Inverse Problems in Science and Engineering

Summary

journal-article

Determination of a time-dependent diffusivity in a nonlinear parabolic problem

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Inverse Problems in Science and Engineering

Summary

journal-article

A nonlocal parabolic model for type-I superconductors

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Numerical Methods for Partial Differential Equations

Summary

journal-article

Determination of a time-dependent diffusivity in a nonlinear parabolic problem

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Inverse Problems in Science and Engineering

Summary

journal-article

A nonlocal parabolic model for type-I superconductors

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Numerical Methods for Partial Differential Equations

Summary

journal-article

Recovery of a space-dependent vector source in thermoelastic systems

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Inverse Problems in Science and Engineering

Summary

journal-article

Determination of an unknown diffusion coefficient in a semilinear parabolic problem

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Journal of Computational and Applied Mathematics

Summary

journal-article

Determination of an unknown diffusion coefficient in a semilinear parabolic problem

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Journal of Computational and Applied Mathematics

Summary

journal-article

Bepaling van een onbekende diffusiecoëfficiënt in een parabolisch begin-en randwaardenprobleem

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Universiteit Gent, Vakgroep Wiskunige Analyse

Summary

dissertation-thesis