Karel Van Bockstal (0000-0002-1898-7611)

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Biography

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.

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Ghent University: Ghent, BE

2022-10-01 to 2024-09-30 | Postdoctoral Researcher (Department of Mathematics: Analysis, Logic and Discrete Mathematics)

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Karel Van Bockstal

https://orcid.org/0000-0002-1898-7611

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Biography

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Employment (6)

Ghent University: Ghent, BE

Ghent University: Ghent, BE

Ghent University: Ghent, BE

Universiteit Gent: Gent, BE

Universiteit Gent: Gent, BE

Universiteit Gent: Gent, BE

Education and qualifications (3)

Universiteit Gent: Gent, BE

Universiteit Gent: Gent, BE

Universiteit Gent: Gent, BE

Professional activities (1)

Eurasian Association on Inverse Problems (EAIP): 8th International Conference "Inverse Problems: Modelling and Simulation" at Oludeniz, TR

Funding (1)

Numerieke technieken voor inverse problemen in stationaire en bewegende domeinen

Works (42)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Advanced COmputational Methods in ENgineering(ACOMEN 2017)

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

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

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

Identification of a memory kernel in a nonlinear integrodifferential parabolic problem

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

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

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

Numerical techniques for partial differential equations in superconductivity and thermoelasticity

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

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

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

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

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

Recovery of a space-dependent vector source in thermoelastic systems

A nonlocal parabolic model for type-I superconductors

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

Determination of an unknown diffusion coefficient in a semilinear parabolic problem

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