Research Explorer

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Researcher

Marian Slodicka

Awards & Distinctions

178 Results

2025

Direct and Inverse Problems for Partial Differential Equations in Models of Heat and Thermoelasticity

Frederick MaesDenis ConstalesMarian SlodickaKarel Van Bockstal

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

Yavar KianMarian SlodickaÉric SoccorsiKarel Van Bockstal

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

2024

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

Van Chien LeMarian SlodickaKarel Van Bockstal

A1 Journal Article in COMPUTERS & MATHEMATICS WITH APPLICATIONS

2022

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

Van Chien LeMarian SlodickaKarel Van Bockstal

A1 Journal Article in APPLIED MATHEMATICS LETTERS

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

Van Chien LeMarian SlodickaKarel Van Bockstal

A1 Journal Article in APPLIED NUMERICAL MATHEMATICS

Advanced mathematical and numerical analysis of induction hardening of steel

Van Chien LeMarian SlodickaKarel Van Bockstal

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

Van Chien LeMarian SlodickaKarel Van Bockstal

A1 Journal Article in COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

2021

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

Van Chien LeMarian SlodickaKarel Van Bockstal

A1 Journal Article in APPLIED MATHEMATICS AND COMPUTATION

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

Van Chien LeMarian SlodickaKarel Van Bockstal

A1 Journal Article in COMPUTERS & MATHEMATICS WITH APPLICATIONS

2020

Some inverse source problems of determining a space dependent source in fractional-dual-phase-lag type equations

Frederick MaesMarian Slodicka

A1 Journal Article in MATHEMATICS

Uniqueness for an inverse source problem of determining a space dependent source in a non-autonomous parabolic equation

Marian Slodicka

A1 Journal Article in APPLIED MATHEMATICS LETTERS

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

Marian Slodicka

A1 Journal Article in FRACTIONAL CALCULUS AND APPLIED ANALYSIS

2019

Advanced COmputational Methods in ENgineering (ACOMEN 2017)

Marian SlodickaKarel Van BockstalIuliu Sorin PopChristophe GeuzaineRob De Staelen

Editorial material

Identification of a source in a fractional wave equation from a boundary measurement

Katarina ŠiškováMarian Slodicka

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Theoretical and numerical analysis of inverse problems in mathematics and engineering

Marijke GrimmonprezMarian Slodicka

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

Marian SlodickaKatarina ŠiškováKarel Van Bockstal

A1 Journal Article in APPLIED MATHEMATICS LETTERS

2018

A source identification problem in a time-fractional wave equation with a dynamical boundary condition

Katarina ŠiškováMarian Slodicka

A1 Journal Article in COMPUTERS & MATHEMATICS WITH APPLICATIONS

An iterative method for the Cauchy problem for second-order elliptic equations

G. BaravdishI. BorachokR. ChapkoB.T. JohanssonMarian Slodicka

A1 Journal Article in INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES

Inverse source problems in evolutionary PDE's

Katarina ŠiškováMarian Slodicka

Mixed problems for some integro-differential equations

Sofiane DehilisMarian Slodicka

Reconstruction of a time dependent source term from a single boundary measurment in Maxwell's equations with nonlinear generalized Ohm's law

Jaroslav ChovanMarian Slodicka

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

2017

A-phi formulation of a mathematical model for the induction hardening process with a nonlinear law for the magnetic field

Jaroslav ChovanChristophe GeuzaineMarian Slodicka

A1 Journal Article in COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

ACOMEN 2017 : book of abstracts

Advanced numerical methods for inverse problems in evolutionary PDEs

Michal GalbaMarian Slodicka

Comprehensive numerical schemes for computational electromagnetism

Jaroslav ChovanMarian Slodicka

Data-driven discovery of the nonlinear dynamics in an electromechanical drivetrain using mixed norm inverse solver

Guillaume Crevecoeur

Error estimates for the full discretization of a semilinear parabolic problem with an unknown source

Marijke GrimmonprezMarian Slodicka

A1 Journal Article in MATHEMATICS AND COMPUTERS IN SIMULATION

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

Marijke GrimmonprezKarel Van BockstalMarian Slodicka

A1 Journal Article in NUMERICAL MATHEMATICS : THEORY, METHODS AND APPLICATIONS

Existence and uniqueness of a solution for a field/circuit coupled problem

Marian SlodickaVladimír Vrábeľ

A1 Journal Article in ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Identification of a memory kernel in a nonlinear integrodifferential parabolic problem

Karel Van BockstalMarian SlodickaFien Gistelinck

A1 Journal Article in APPLIED NUMERICAL MATHEMATICS

Identification of memory kernels in hyperbolic problems

Marian SlodickaLukas Seliga

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Induction hardening of steel with restrained Joule heating and nonlinear law for magnetic induction field : solvability

Jaroslav ChovanMarian Slodicka

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Recognition of a time-dependent source in a time-fractional wave equation

Katarina ŠiškováMarian Slodicka

A1 Journal Article in APPLIED NUMERICAL MATHEMATICS

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

Karel Van BockstalMarian Slodicka

A1 Journal Article in INVERSE PROBLEMS IN SCIENCE AND ENGINEERING

2016

An inverse source problem for a damped wave equation with memory

Marian SlodickaLukas Seliga

A1 Journal Article in JOURNAL OF INVERSE AND ILL-POSED PROBLEMS

An inverse source problem in a semilinear time-fractional diffusion equation

Marian SlodickaKatarina Šišková

A1 Journal Article in COMPUTERS & MATHEMATICS WITH APPLICATIONS

Determination of a time-dependent convolution kernel from a boundary measurement in nonlinear Maxwell’s equations

Marian SlodickaMichal Galba

A1 Journal Article in COMPUTERS & MATHEMATICS WITH APPLICATIONS

Determination of a time-dependent convolution kernel in a non-linear hyperbolic equation

Marian SlodickaLukas Seliga

A1 Journal Article in INVERSE PROBLEMS IN SCIENCE AND ENGINEERING

Inverse problems for hyperbolic equations with a memory term

Lukas SeligaMarian Slodicka

Recovery of a space-dependent vector source in an anisotropic thermoelastic system

Karel Van BockstalLiviu MarinMarian Slodicka

Recovery of a time dependent source from a surface measurement in Maxwell’s equations

Marian SlodickaMichal Galba

A1 Journal Article in COMPUTERS & MATHEMATICS WITH APPLICATIONS

2015

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

Karel Van BockstalMarian Slodicka

A1 Journal Article in NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

A nonlinear parabolic integro-differential problem with an unknown Dirichlet boundary condition

Marijke GrimmonprezMarian Slodicka

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

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

Karel Van BockstalMarian Slodicka

A1 Journal Article in INVERSE PROBLEMS IN SCIENCE AND ENGINEERING

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

Rob De StaelenKarel Van BockstalMarian Slodicka

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

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

Karel Van BockstalMarian Slodicka

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Full discretization of a nonlinear parabolic problem containing volterra operators and an unknown dirichlet boundary condition

Marijke GrimmonprezMarian Slodicka

A1 Journal Article in NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Full-discrete numerical scheme for the reconstruction of a solely time dependent source in a semilinear parabolic problem

Marijke GrimmonprezMarian Slodicka

Identification of a memory kernel in a nonlinear parabolic integrodifferential problem

Karel Van BockstalMarian SlodickaFien Gistelinck

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

Karel Van BockstalRob De StaelenMarian Slodicka

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Numerical techniques for partial differential equations in superconductivity and thermoelasticity

Karel Van BockstalMarian Slodicka

Recent trends in Advanced Computational Methods in Engineering (ACOMEN)

Marian SlodickaRob De StaelenChristophe Geuzaine

Editorial material

Reconstruction of a convolution kernel in a semilinear parabolic problem based on a global measurement

Rob De StaelenMarian Slodicka

A1 Journal Article in NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Reconstruction of an unknown source parameter in a semilinear parabolic problem

Marijke GrimmonprezMarian Slodicka

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Recovery of a space-dependent vector source in thermoelastic systems

Karel Van BockstalMarian Slodicka

A1 Journal Article in INVERSE PROBLEMS IN SCIENCE AND ENGINEERING

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

Karel Van BockstalMarian Slodicka

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

2014

A nonlocal parabolic model for type-I superconductors

Marian SlodickaKarel Van Bockstal

A1 Journal Article in NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Convergence of the mixed MFIE in the energy norm

Ignace BogaertKristof CoolsFrancesco P Andriulli

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

Karel Van BockstalRob De StaelenMarian Slodicka

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

Rob De StaelenMarian Slodicka

Full discretization of a nonlinear parabolic integro-differential problem with an unknown Dirichlet boundary condition

Marijke GrimmonprezMarian Slodicka

Identification of the Poincaré-Steklov operator in hybrid FE-BIE formulations for the analysis of internal resonances

Freek BoeykensHendrik RogierDieter DobbelaereJan Van HeseJeannick SercuTim Boonen

Inverse source problem in a semilinear parabolic equation

Marian SlodickaMarijke Grimmonprez

Kernel reconstruction in a semilinear parabolic problem with integral overdetermination

Rob De StaelenMarian Slodicka

Reconstruction of an unknown Dirichlet boundary condition in a nonlinear parabolic problem containing Volterra operators

Marijke GrimmonprezMarian Slodicka

Recovery of a space-dependent vector source in a thermoelastic system with memory effects

Karel Van BockstalMarian Slodicka

Residual stress reconstruction for large-Eddy simulation

Dieter FauconnierErik Dick

Solving low mach number Riemann problems by momentum interpolation

Yann MoguenPascal BruelErik Dick

Stable solutions of the EM integral equation in the entire frequency spectrum without the search for global loops

Francesco P. AndriulliIgnace BogaertKristof CoolsEric Michielssen

The well-posedness of a mathematical model for an intermediate state between type-I and type-II superconductivity

Karel Van BockstalMarian Slodicka

2013

A computational method to assess the in vivo stresses and unloaded configuration of patient-specific blood vessels

Joris BolsJoris DegrooteBram TrachetBenedict VerhegghePatrick SegersJan Vierendeels

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Advanced numerical techniques in partial differential equations: nonstandard boundary conditions and regularization of inverse problems

Vladimír VrábeľMarian Slodicka

Bayesian inference in the uncertain EEG problem including local information and a sensor correlation matrix

Rob De StaelenGuillaume CrevecoeurTineke GoessensMarian Slodicka

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Determination of an unknown diffusion coefficient in a semilinear parabolic problem

Karel Van BockstalMarian Slodicka

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

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

Karel Van BockstalMarian Slodicka

Nonlinear diffusion problem with dynamical boundary value

Vladimír VrábeľMarian Slodicka

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Nonlinear parabolic equation with a dynamical boundary condition of diffusive type

Vladimír VrábeľMarian Slodicka

A1 Journal Article in APPLIED MATHEMATICS AND COMPUTATION

Numerical solution of a nonlinear parabolic problem with an unknown Dirichlet boundary condition

Marijke GrimmonprezMarian Slodicka

Polynomial chaos and Bayesian inference in stochastic electroencephalography

Rob De StaelenMarian Slodicka

Spectral analysis of nonlinear finite difference discretizations

Dieter FauconnierErik Dick

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

2012

An eddy current problem with a nonlinear evolution boundary condition

Vladimír VrábeľMarian Slodicka

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Nonlocal problems for superconductivity

Karel Van BockstalMarian Slodicka

Nonlocal problems for superconductivity

Karel Van BockstalMarian Slodicka

Space mapping methodology for defect recognition in eddy current testing: type NDT

Piotr PutekGuillaume CrevecoeurMarian SlodickaRoger Van KeerBen Van de WieleLuc Dupré

A1 Journal Article in COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING

2011

A computational method to assess initial stresses and unloaded configuration of patient-specific blood vessels

Joris BolsJoris DegrooteBram TrachetBenedict VerhegghePatrick SegersJan Vierendeels

Anatomically realistic geometrical boundary conditions for the numerical FSI simulation of an aortic BMHV

Sebastiaan AnnerelTom ClaessensJoris BolsLiesbeth TaelmanJoris DegrootePeter Van RansbeeckPatrick SegersPascal VerdonckJan Vierendeels

Constructing a Mesh for the Yarn cross-section using virtual locations

Pei LiBenny Malengier

Convergence of the mixed finite element method for Maxwell's equations with non-linear conductivity

Stephane DurandMarian Slodicka

Direct method and Bayesian inference for uncertainty quantification on stochastic NDT problem

Karim BeddekRob De StaelenStéphane ClenetOlivier MoreauYvonnick Le MenachRoger Van Keer

Fully discrete finite element method for Maxwell's equations with nonlinear conductivity

Stephane DurandMarian Slodicka

A1 Journal Article in IMA JOURNAL OF NUMERICAL ANALYSIS

Fully discrete finite element scheme for Maxwell's equations with non-linear boundary condition

Marian SlodickaStephane Durand

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Numerical analysis of non-linear models in electromagnetism

Stephane DurandMarian SlodickaIvan Cimrak

Pressure-velocity coupling for unsteady low Mach number flow

Yann MoguenErik DickJan VierendeelsPascal Bruel

Pulse wave analysis of grid and time step converged fluid-structure interaction calculations

Liesbeth TaelmanJoris DegrooteAbigail SwillensJan VierendeelsPatrick Segers

Spectral analysis of nonlinear finite difference discretizations

Dieter FauconnierErik Dick

Two-level approach for solving the inverse problem of defects identification in Eddy Current Testing: type NDT

Piotr PutekGuillaume CrevecoeurMarian SlodickaKostanty GawrylczykRoger Van KeerLuc Dupré

A2 Journal Article in ARCHIWUM ELEKTROTECHNIKI = ARCHIVES OF ELECTRICAL ENGINEERING

Wind induced ovalling vibrations in silo groups

Jeroen HillewaereJoris DegrooteGeert LombaertJan VierendeelsGeert Degrande

2010

A numerical scheme for the Maxwell equations in the quasi-static regime with a non-local source

Stephane DurandMarian Slodicka

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Convergence of the backward Euler method for nonlinear Maxwell equations

Stephane DurandMarian Slodicka

2009

A numerical scheme for Maxwell's equations in the quasi-static regime with a non-local source

Stephane DurandMarian Slodicka

Determination of a time-dependent heat transfer coefficient from energy boundary measurements

TTM OnyangoDB InghamDaniel LesnicMarian Slodicka

A1 Journal Article in MATHEMATICS AND COMPUTERS IN SIMULATION

Nonlinear and multiscale problems in low-frequency electromagnetism

Jan BusaMarian Slodicka

On numerical methods for direct and inverse problems in electromagnetism

Viera ZemanovaMarian Slodicka

2008

A robust linearization scheme for nonlinear diffusion in Type-II superconductors

Edita JanikováMarian Slodicka

A1 Journal Article in APPLIED MATHEMATICAL MODELLING

Convergence of the backward Euler method for type-II superconductors

Marian SlodickaEdita Janiková

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Error estimates for the time discretization for nonlinear Maxwell's equations

Marian SlodickaJan Busa

A1 Journal Article in JOURNAL OF COMPUTATIONAL MATHEMATICS

Full discretization scheme for linearized quasi-static Maxwell's equations with a non-linear boundary condition

Viera ZemanovaMarian Slodicka

Journal of Computational and Applied Mathematics

Modeling of thermally assisted magnetodynamics

Lubomir BanasAndreas ProhlMarian Slodicka

A1 Journal Article in SIAM JOURNAL ON NUMERICAL ANALYSIS

Nonlinear diffusion in type-II superconductors

Marian Slodicka

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

On numerical methods for diffusion of electric fields in type-II superconductors

Edita JanikováMarian Slodicka

Singular value decomposition method for multi-species first-order reactive transport with identical decay rates

Marian SlodickaAntonia Balazova

A1 Journal Article in TRANSPORT IN POROUS MEDIA

Solution to the Eddy-current problem for type-II superconductors by relaxation method

Edita JanikováMarian Slodicka

Time discretization scheme for quasi-static Maxwell's equations with a non-linear boundary condition

Marian SlodickaViera Zemanova

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

2007

Estimation of the Michaelis-Menten parameters for reductive dechlorination of chlorinated solvents

Marian Slodicka

A1 Journal Article in APPLIED MATHEMATICS AND COMPUTATION

Fix-point linearization schemes for nonlinear steady-state eddy current problems

Edita JanikováMarian Slodicka

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Transdermal penetration behaviour of drugs: CART-clustering, QSPR and selection of model compounds

Bram BaertE DECONINCKMireille Van GeleMarian SlodickaP STOPPIESamuel BodéGuido SlegersY VANDER HEYDENJo LambertJ BEETENS et al.

A1 Journal Article in BIOORGANIC & MEDICINAL CHEMISTRY

2006

A time discretization scheme for a non-linear degenerate eddy current model for ferromagnetic materials

Marian Slodicka

A1 Journal Article in IMA JOURNAL OF NUMERICAL ANALYSIS

Boundary data identification for a eddy-current problem on polyhedra: numerical approach

Valdemar MelicherMarian Slodicka

A2 Journal Article in Journal of Inverse and Ill-Posed Problems

Determination of massing boundary data for a steady-state Maxwell problem

Valdemar MelicherMarian Slodicka

A1 Journal Article in INVERSE PROBLEMS

Error estimates for Landau-Lifshitz-Gilbert equation with magnetostriction

Lubomír BanasMarian Slodicka

A1 Journal Article in APPLIED NUMERICAL MATHEMATICS

Parameter determination for reductive dechlorination of chlorinated solvents

Antonia BalazovaMarian SlodickaRoger Van Keer

A1 Journal Article in TRANSPORT IN POROUS MEDIA

2005

A robust linearisation scheme for a nonlinear elliptic boundary value problem: Error estimates

Marian Slodicka

A1 Journal Article in ANZIAM JOURNAL

Approximation of a nonlinear degenerate parabolic equation via a linear relaxation scheme

Marian Slodicka

A1 Journal Article in NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Determination of the heat-transfer coefficient during solidification of alloys

Marian SlodickaHennie De Schepper

A1 Journal Article in COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Fix-point linearization schemes for nonlinear steady-state eddy current problems

Edita JanikováMarian Slodicka

Modelling of reactive contaminant transport of chlorinated solvents

Antonia BalazovaMarian SlodickaMarc Van CampKristine Walraevens

Nonlinear diffusion in type-II superconductors

Marian Slodicka

On dynamical micromagnetism with magnetostriction

Lubomír BanasMarian SlodickaRoger Van Keer

Proceedings of the 3rd International Conference on Advanced Computational Methods in Engineering (ACOMEN 2005)

Simulation of reactive contaminant transport of chlorinated solvents

Antonia BalazovaMarian Slodicka

Space discretization for the Landau-Lifshitz-Gilbert equation with magnetostriction

Lubomír BanasMarian Slodicka

A1 Journal Article in COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

The recovery of boundary data for the eddy-current problem on polyhedra: Numerical approach

Valdemar MelicherMarian Slodicka

2004

A numerical approach for the determination of a missing boundary data in elliptic problems

Marian SlodickaRoger Van Keer

A1 Journal Article in APPLIED MATHEMATICS AND COMPUTATION

A numerical procedure for analysing soil venting wells

Marian Slodicka

A1 Journal Article in TRANSPORT IN POROUS MEDIA

A numerical scheme for a Maxwell-Landau-Lifshitz-Gilbert system

Marian SlodickaLubomír Banas

A1 Journal Article in APPLIED MATHEMATICS AND COMPUTATION

An approximation scheme for a nonlinear degenerate parabolic equation with a second-order differential Volterra operator

Marian Slodicka

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

An iterative approximation scheme for the Landau-Lifshitz-Gilbert equation

Ivan CimrakMarian Slodicka

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Improved error estimates for a Maxwell-Landau-Lifschitz system

Marian SlodickaIvan Cimrak

A2 Journal Article in Proceedings in Applied Mathematics and Mechanics

Inverse problem for magnetic sensors based on a Preisach formalism

Luc DupréMarian Slodicka

A1 Journal Article in IEEE TRANSACTIONS ON MAGNETICS

Optimal convergence rate for Maxwell-Landau-Lifschitz system

Ivan CimrakMarian Slodicka

A1 Journal Article in PHYSICA B-CONDENSED MATTER

2003

A Second Order Approximation Scheme for the Micromagnetic Landau-Lifshitz Equation

Ivan CimrakMarian Slodicka

Comprehensive models for wells

Marian Slodicka

Numerical study of nonlinear ferromagnetic materials

Marian SlodickaIvan Cimrak

A1 Journal Article in APPLIED NUMERICAL MATHEMATICS

Recovery of an unknown flux in parabolic problems with nonstandard boundary conditions: Error estimates

Marian Slodicka

A2 Journal Article in Applications of Mathematics

Semilinear parabolic problem with nonstandard boundary conditions: Error estimates

Marian Slodicka

A1 Journal Article in NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

2002

A nonlinear boundary value problem containing nonstandard boundary conditions.

Marian SlodickaHennie De Schepper

A1 Journal Article in APPLIED MATHEMATICS AND COMPUTATION

A robust and efficient linearization scheme for doubly nonlinear and degenerate parabolic problems arising in flow in porous media.

Marian Slodicka

A1 Journal Article in SIAM JOURNAL ON SCIENTIFIC COMPUTING

An approximation scheme for a nonlinear degenerate parabolic equation with a second-order differential Volterra operator

Marian Slodicka

Determination of a Robin coefficient in semilinear parabolic problems by means of boundary measurements.

Marian SlodickaRoger Van Keer

A1 Journal Article in INVERSE PROBLEMS

Mixed finite element method for nonlinear second-order elliptic problems: relaxation scheme

Marian Slodicka

On an inverse problem of pressure recovery arising from soil venting facilities.

Marian SlodickaHennie De Schepper

A1 Journal Article in APPLIED MATHEMATICS AND COMPUTATION

2001

A nonlinear elliptic equation with a nonlocal boundary condition solved by linearization.

Marian SlodickaRoger Van Keer

A2 Journal Article in International Journal of Applied Mathematics

Error estimates of an efficient linearization scheme for a nonlinear elliptic problem with a nonlocal boundary condition.

Marian Slodicka

A1 Journal Article in ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Finite element method

Marian Slodicka

2000

A monotone linear approximation of a nonlinear elliptic problem with a non-standard boundary condition

Marian Slodicka

Determination of the convective transfer coefficient in elliptic problems from a non-standard boundary condition

Marian SlodickaRoger Van Keer

Modelling of constant pressure from discharges at active wells by soil venting facilities.

Marian SlodickaHennie De Schepper

Modelling of pressure of a given shape from discharges at active wells by soils venting facilities.

Hennie De SchepperMarian Slodicka

Numerical methods

J BabusikovaMarian SlodickaJ Weisz

Numerical modelling for the recovery of an unknown flux in semilinear parabolic problems with nonstandard boundary conditions.

Marian SlodickaRoger Van Keer

Recovery of the boundary data for a linear second order elliptic problem with a nonlocal boundary condition

Hennie De SchepperMarian Slodicka

A2 Journal Article in ANZIAM JOURNAL

Recovery of the convective transfer coefficient in parabolic problems from a non-standard boundary condition

Marian SlodickaRoger Van Keer

1999

Optimal Control of Soil Venting: Mathematical Modeling and Applications

H GERKEU HORNUNGY KELANEMERMarian SlodickaS SCHUMACHER

1998

Finite elements in modeling of flow in porous media: How to describe wells

Marian Slodicka

A2 Journal Article in Acta Mathematica Universitatis Comenianae

Standard and mixed finite elements: A comparison and applications in hydrology

E HOLBANU HORNUNGY KELANEMERMarian Slodicka

1997

Effective radius and underpressure of an air extraction well in a heterogeneous porous medium

S SCHUMACHERMarian Slodicka

A1 Journal Article in TRANSPORT IN POROUS MEDIA

Mathematical treatment of point sources in a flow through porous media governed by Darcy's law

Marian Slodicka

A1 Journal Article in TRANSPORT IN POROUS MEDIA

Modeling and estimation of hydraulic parameters

S SCHUMACHERMarian SlodickaU JAEKEL

A2 Journal Article in Computational Geosciences

Numerical solution of a parabolic equation with a weakly singular positive-type memory term

Marian Slodicka

A2 Journal Article in ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

Optimierung von Anlagen zur Bodenluftabsaugung

U HORNUNGH GERKEY KELANEMERS SCHUMACHERMarian SlodickaD STEGEMANN

1996

Bacterial growth and bioremediation

S SCHUMACHERMarian Slodicka

U HORNUNGY KELANEMERMarian Slodicka

1992

Semigroup formulation of Rothe's method: Application to parabolic problems

Marian Slodicka

A2 Journal Article in Commentationes Mathematicae Universitatis Carolinae

Solution of nonlinear parabolic problems by linearization

Marian Slodicka

1991

On the Rothe-Galerkin method for a class of parabolic integrodifferential problems

Marian Slodicka

A2 Journal Article in Matematicheskoe Modelirovanie

Smoothing effect and discretization in time to semilinear parabolic equations with nonsmooth data

Marian Slodicka

A2 Journal Article in Commentationes Mathematicae Universitatis Carolinae

1988

Numerical techniques for the recovery of an unknown dirichlet data function in semilinear parabolic problems with nonstandard boundary conditions.

Roger Van KeerMarian Slodicka

A1 Journal Article in NUMERICAL ANALYSIS AND ITS APPLICATIONS