Arnold Reusken

81 papers Journal 81
YearRankTypeTitle / Venue / Authors
2025 J jnl
A Narrow Band Finite Element Method for the Level Set Equation.
SIAM J. Sci. Comput.
Maxim A. Olshanskii, Arnold Reusken, Paul Schwering
2025 J jnl
A comparative study of finite element methods for a class of harmonic map heat flow problems.
CoRR
Nam Anh Nguyen, Arnold Reusken
2025 J jnl
Analysis of a Schwarz-Fourier domain decomposition method.
CoRR
Arnold Reusken
2025 J jnl
Analysis of a finite element method for PDEs in evolving domains with topological changes.
CoRR
Maxim A. Olshanskii, Arnold Reusken
2025 J jnl
Discretization error analysis for a radially symmetric harmonic map heat flow problem.
CoRR
Nam Anh Nguyen, Arnold Reusken
2025 J jnl
Error analysis for a Finite Element Discretization of a radially symmetric harmonic map heat flow problem.
CoRR
Nam Anh Nguyen, Arnold Reusken
2024 J jnl
A narrow band finite element method for the level set equation.
CoRR
Maxim A. Olshanskii, Arnold Reusken, Paul Schwering
2024 J jnl
Analysis of a space-time unfitted finite element method for PDEs on evolving surfaces.
CoRR
Arnold Reusken, Hauke Sass
2024 J jnl
Analysis of the Taylor-Hood Surface Finite Element Method for the surface Stokes equation.
CoRR
Arnold Reusken
2024 J jnl
Analysis of the Taylor-Hood surface finite element method for the surface Stokes equation.
Math. Comput.
Arnold Reusken
2024 J jnl
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties.
J. Num. Math.
Elena Bachini, Philip Brandner, Thomas Jankuhn, Michael Nestler, Simon Praetorius, Arnold Reusken, Axel Voigt
2024 J jnl
Numerical analysis of a constrained strain energy minimization problem.
CoRR
Tilman Alemán, Arnold Reusken
2023 J jnl
An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces.
CoRR
Maxim A. Olshanskii, Arnold Reusken, Paul Schwering
2023 J jnl
An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces.
Math. Comput.
Maxim A. Olshanskii, Arnold Reusken, Paul Schwering
2023 J jnl
An accurate and robust Eulerian finite element method for partial differential equations on evolving surfaces.
Comput. Math. Appl.
Hauke Sass, Arnold Reusken
2023 J jnl
Analysis of optimal preconditioners for CutFEM.
Numer. Linear Algebra Appl.
Sven Gross, Arnold Reusken
2022 J jnl
An Accurate and Robust Eulerian Finite Element Method for Partial Differential Equations on Evolving Surfaces.
CoRR
Hauke Sass, Arnold Reusken
2022 J jnl
Analysis of finite element methods for surface vector-Laplace eigenproblems.
Math. Comput.
Arnold Reusken
2022 J jnl
Analysis of optimal preconditioners for CutFEM.
CoRR
Sven Gross, Arnold Reusken
2022 J jnl
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties.
CoRR
Elena Bachini, Philip Brandner, Thomas Jankuhn, Michael Nestler, Simon Praetorius, Arnold Reusken, Axel Voigt
2022 J jnl
Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations.
SIAM J. Sci. Comput.
Philip Brandner, Thomas Jankuhn, Simon Praetorius, Arnold Reusken, Axel Voigt
2022 J jnl
Tangential Navier-Stokes equations on evolving surfaces: Analysis and simulations.
CoRR
Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov
2021 J jnl
Analysis of the Schwarz Domain Decomposition Method for the Conductor-like Screening Continuum Model.
SIAM J. Numer. Anal.
Arnold Reusken, Benjamin Stamm
2021 J jnl
Error analysis of higher order Trace Finite Element Methods for the surface Stokes equation.
J. Num. Math.
Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov
2021 J jnl
Finite element discretization methods for velocity-pressure and stream function formulations of surface Stokes equations.
CoRR
Philip Brandner, Thomas Jankuhn, Simon Praetorius, Arnold Reusken, Axel Voigt
2021 J jnl
Inf-sup stability of the trace P
Math. Comput.
Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov
2021 J jnl
On derivations of evolving surface Navier-Stokes equations.
CoRR
Philip Brandner, Arnold Reusken, Paul Schwering
2021 J jnl
Optimal preconditioners for a Nitsche stabilized fictitious domain finite element method.
CoRR
Sven Gross, Arnold Reusken
2020 J jnl
A Multigrid Method for Unfitted Finite Element Discretizations of Elliptic Interface Problems.
SIAM J. Sci. Comput.
Thomas Ludescher, Sven Gross, Arnold Reusken
2020 J jnl
Analysis of finite element methods for surface vector-Laplace eigenproblems.
CoRR
Arnold Reusken
2020 J jnl
Analysis of the Schwarz domain decomposition method for the conductor-like screening continuum model.
CoRR
Arnold Reusken, Benjamin Stamm
2020 J jnl
Error analysis of higher order trace finite element methods for the surface Stokes equations.
CoRR
Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov
2019 J jnl
Discontinuous Galerkin time discretization methods for parabolic problems with linear constraints.
J. Num. Math.
Igor Voulis, Arnold Reusken
2019 J jnl
Finite Element Error Analysis of Surface Stokes Equations in Stream Function Formulation.
CoRR
Philip Brandner, Arnold Reusken
2019 J jnl
Higher order Trace Finite Element Methods for the Surface Stokes Equation.
CoRR
Thomas Jankuhn, Arnold Reusken
2019 J jnl
Inf-sup stability of the trace P
CoRR
Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov
2019 J jnl
L2-error analysis of an isoparametric unfitted finite element method for elliptic interface problems.
J. Num. Math.
Christoph Lehrenfeld, Arnold Reusken
2018 J jnl
A Finite Element Method for the Surface Stokes Problem.
SIAM J. Sci. Comput.
Maxim A. Olshanskii, Annalisa Quaini, Arnold Reusken, Vladimir Yushutin
2018 J jnl
A Trace Finite Element Method for Vector-Laplacians on Surfaces.
SIAM J. Numer. Anal.
Sven Gross, Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken
2018 J jnl
Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces.
SIAM J. Numer. Anal.
Jörg Grande, Christoph Lehrenfeld, Arnold Reusken
2017 J jnl
Optimal preconditioners for Nitsche-XFEM discretizations of interface problems.
Numerische Mathematik
Christoph Lehrenfeld, Arnold Reusken
2016 J jnl
A Higher Order Finite Element Method for Partial Differential Equations on Surfaces.
SIAM J. Numer. Anal.
Jörg Grande, Arnold Reusken
2016 J jnl
Analysis of an XFEM Discretization for Stokes Interface Problems.
SIAM J. Sci. Comput.
Matthias Kirchhart, Sven Groß, Arnold Reusken
2016 J jnl
Robust Preconditioning for XFEM Applied to Time-Dependent Stokes Problems.
SIAM J. Sci. Comput.
Sven Groß, Thomas Ludescher, Maxim A. Olshanskii, Arnold Reusken
2014 J jnl
An Eulerian Space-Time Finite Element Method for Diffusion Problems on Evolving Surfaces.
SIAM J. Numer. Anal.
Maxim A. Olshanskii, Arnold Reusken, Xianmin Xu
2014 J jnl
Analysis of time discretization methods for Stokes equations with a nonsmooth forcing term.
Numerische Mathematik
Arnold Reusken, Patrick Esser
2014 J jnl
Error Analysis of a Space-Time Finite Element Method for Solving PDEs on Evolving Surfaces.
SIAM J. Numer. Anal.
Maxim A. Olshanskii, Arnold Reusken
2014 J jnl
Optimal preconditioners for Nitsche-XFEM discretizations of interface problems.
CoRR
Christoph Lehrenfeld, Arnold Reusken
2013 J jnl
A Finite Element Level Set Redistancing Method Based on Gradient Recovery.
SIAM J. Numer. Anal.
Arnold Reusken
2013 J jnl
Analysis of a Nitsche XFEM-DG Discretization for a Class of Two-Phase Mass Transport Problems.
SIAM J. Numer. Anal.
Christoph Lehrenfeld, Arnold Reusken
2012 J jnl
Nitsche-XFEM with Streamline Diffusion Stabilization for a Two-Phase Mass Transport Problem.
SIAM J. Sci. Comput.
Christoph Lehrenfeld, Arnold Reusken
2012 J jnl
On surface meshes induced by level set functions.
Comput. Vis. Sci.
Maxim A. Olshanskii, Arnold Reusken, Xianmin Xu
2011 J jnl
Identification of Transport Coefficient Models in Convection-Diffusion Equations.
SIAM J. Sci. Comput.
Maka Karalashvili, Sven Groß, Wolfgang Marquardt, Adel Mhamdi, Arnold Reusken
2010 J jnl
A finite element method for surface PDEs: matrix properties.
Numerische Mathematik
Maxim A. Olshanskii, Arnold Reusken
2009 J jnl
A Finite Element Method for Elliptic Equations on Surfaces.
SIAM J. Numer. Anal.
Maxim A. Olshanskii, Arnold Reusken, Jörg Grande
2008 J jnl
A comparative study of efficient iterative solvers for generalized Stokes equations.
Numer. Linear Algebra Appl.
Maxim Larin, Arnold Reusken
2008 J jnl
Incremental Identification of Transport Coefficients in Convection-Diffusion Systems.
SIAM J. Sci. Comput.
Maka Karalashvili, Sven Groß, Adel Mhamdi, Arnold Reusken, Wolfgang Marquardt
2008 J jnl
Stability Analysis of Two-Dimensional Pool-Boiling Systems.
SIAM J. Appl. Dyn. Syst.
Michel F. M. Speetjens, Arnold Reusken, Stanislaus Maier-Paape, Wolfgang Marquardt
2007 J jnl
An extended pressure finite element space for two-phase incompressible flows with surface tension.
J. Comput. Phys.
Sven Groß, Arnold Reusken
2007 J jnl
Finite Element Discretization Error Analysis of a Surface Tension Force in Two-Phase Incompressible Flows.
SIAM J. Numer. Anal.
Sven Groß, Arnold Reusken
2007 J jnl
On the robustness of a multigrid method for anisotropic reaction-diffusion problems.
Computing
Arnold Reusken, M. Soemers
2006 J jnl
Analysis of a Stokes interface problem.
Numerische Mathematik
Maxim A. Olshanskii, Arnold Reusken
2006 J jnl
Uniform preconditioners for a parameter dependent saddle point problem with application to generalized Stokes interface equations.
Numerische Mathematik
Maxim A. Olshanskii, Jörg Peters, Arnold Reusken
2005 J jnl
Fast Iterative Solvers for Discrete Stokes Equations.
SIAM J. Sci. Comput.
Jörg Peters, Volker Reichelt, Arnold Reusken
2005 J jnl
Parallel Multilevel Tetrahedral Grid Refinement.
SIAM J. Sci. Comput.
Sven Groß, Arnold Reusken
2004 J jnl
Convergence Analysis of a Multigrid Method for a Convection-Dominated Model Problem.
SIAM J. Numer. Anal.
Maxim A. Olshanskii, Arnold Reusken
2004 J jnl
Grad-div stablilization for Stokes equations.
Math. Comput.
Maxim A. Olshanskii, Arnold Reusken
2003 J jnl
Convergence Analysis of the Gauss-Seidel Preconditioner for Discretized One Dimensional Euler Equations.
SIAM J. Numer. Anal.
Arnold Reusken
2002 J jnl
Approximation of the Determinant of Large Sparse Symmetric Positive Definite Matrices.
SIAM J. Matrix Anal. Appl.
Arnold Reusken
2002 J jnl
Convergence analysis of a multigrid method for convection-diffusion equations.
Numerische Mathematik
Arnold Reusken
2002 J jnl
Navier-Stokes Equations in Rotation Form: A Robust Multigrid Solver for the Velocity Problem.
SIAM J. Sci. Comput.
Maxim A. Olshanskii, Arnold Reusken
2001 J jnl
Robust Parallel Smoothing for Multigrid Via Sparse Approximate Inverses.
SIAM J. Sci. Comput.
Oliver Bröker, Marcus J. Grote, Carsten Mayer, Arnold Reusken
2000 J jnl
On the Convergence of a Multigrid Method for Linear Reaction-Diffusion Problems.
Computing
Maxim A. Olshanskii, Arnold Reusken
1999 J jnl
On the Approximate Cyclic Reduction Preconditioner.
SIAM J. Sci. Comput.
Arnold Reusken
1999 J jnl
On the convergence of basic iterative methods for convection-diffusion equations.
Numer. Linear Algebra Appl.
Jürgen Bey, Arnold Reusken
1998 J jnl
A Finite Volume Scheme for Solving Elliptic Boundary Value Problems on Composite Grids.
Computing
M. J. H. Anthonissen, B. van't Hof, Arnold Reusken
1996 J jnl
A Finite Difference Discretization Method for Elliptic Problems Composite Grids.
Computing
P. J. J. Ferket, Arnold Reusken
1996 J jnl
A Multigrid Method Based on Incomplete Gaussian Elimination.
Numer. Linear Algebra Appl.
Arnold Reusken
1996 J jnl
Further Analysis of the Local Defect Correction Method.
Computing
P. J. J. Ferket, Arnold Reusken
1996 J jnl
On a Robust Multigrid Solver.
Computing
Arnold Reusken
1993 J jnl
Multigrid with matrix-dependent transfer operators for a singular perturbation problem.
Computing
Arnold Reusken