Arnold Reusken

Affiliations:
  • RWTH Aachen University, Germany


According to our database1, Arnold Reusken authored at least 63 papers between 1993 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

Timeline

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Bibliography

2024
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties.
J. Num. Math., March, 2024

Analysis of the Taylor-Hood Surface Finite Element Method for the surface Stokes equation.
CoRR, 2024

Analysis of a space-time unfitted finite element method for PDEs on evolving surfaces.
CoRR, 2024

2023
Analysis of optimal preconditioners for CutFEM.
Numer. Linear Algebra Appl., October, 2023

An accurate and robust Eulerian finite element method for partial differential equations on evolving surfaces.
Comput. Math. Appl., September, 2023

An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces.
CoRR, 2023

2022
Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations.
SIAM J. Sci. Comput., 2022

Analysis of finite element methods for surface vector-Laplace eigenproblems.
Math. Comput., 2022

Tangential Navier-Stokes equations on evolving surfaces: Analysis and simulations.
CoRR, 2022

2021
Analysis of the Schwarz Domain Decomposition Method for the Conductor-like Screening Continuum Model.
SIAM J. Numer. Anal., 2021

Inf-sup stability of the trace P<sub>2</sub>-P<sub>1</sub> Taylor-Hood elements for surface PDEs.
Math. Comput., 2021

Error analysis of higher order Trace Finite Element Methods for the surface Stokes equation.
J. Num. Math., 2021

On derivations of evolving surface Navier-Stokes equations.
CoRR, 2021

Optimal preconditioners for a Nitsche stabilized fictitious domain finite element method.
CoRR, 2021

2020
A Multigrid Method for Unfitted Finite Element Discretizations of Elliptic Interface Problems.
SIAM J. Sci. Comput., 2020

Error analysis of higher order trace finite element methods for the surface Stokes equations.
CoRR, 2020

2019
Discontinuous Galerkin time discretization methods for parabolic problems with linear constraints.
J. Num. Math., 2019

L2-error analysis of an isoparametric unfitted finite element method for elliptic interface problems.
J. Num. Math., 2019

Finite Element Error Analysis of Surface Stokes Equations in Stream Function Formulation.
CoRR, 2019

Higher order Trace Finite Element Methods for the Surface Stokes Equation.
CoRR, 2019

2018
A Finite Element Method for the Surface Stokes Problem.
SIAM J. Sci. Comput., 2018

A Trace Finite Element Method for Vector-Laplacians on Surfaces.
SIAM J. Numer. Anal., 2018

Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces.
SIAM J. Numer. Anal., 2018

2017
Optimal preconditioners for Nitsche-XFEM discretizations of interface problems.
Numerische Mathematik, 2017

2016
Analysis of an XFEM Discretization for Stokes Interface Problems.
SIAM J. Sci. Comput., 2016

Robust Preconditioning for XFEM Applied to Time-Dependent Stokes Problems.
SIAM J. Sci. Comput., 2016

A Higher Order Finite Element Method for Partial Differential Equations on Surfaces.
SIAM J. Numer. Anal., 2016

2014
An Eulerian Space-Time Finite Element Method for Diffusion Problems on Evolving Surfaces.
SIAM J. Numer. Anal., 2014

Error Analysis of a Space-Time Finite Element Method for Solving PDEs on Evolving Surfaces.
SIAM J. Numer. Anal., 2014

Analysis of time discretization methods for Stokes equations with a nonsmooth forcing term.
Numerische Mathematik, 2014

2013
A Finite Element Level Set Redistancing Method Based on Gradient Recovery.
SIAM J. Numer. Anal., 2013

Analysis of a Nitsche XFEM-DG Discretization for a Class of Two-Phase Mass Transport Problems.
SIAM J. Numer. Anal., 2013

2012
Nitsche-XFEM with Streamline Diffusion Stabilization for a Two-Phase Mass Transport Problem.
SIAM J. Sci. Comput., 2012

On surface meshes induced by level set functions.
Comput. Vis. Sci., 2012

2011
Identification of Transport Coefficient Models in Convection-Diffusion Equations.
SIAM J. Sci. Comput., 2011

2010
A finite element method for surface PDEs: matrix properties.
Numerische Mathematik, 2010

2009
A Finite Element Method for Elliptic Equations on Surfaces.
SIAM J. Numer. Anal., 2009

2008
Incremental Identification of Transport Coefficients in Convection-Diffusion Systems.
SIAM J. Sci. Comput., 2008

Stability Analysis of Two-Dimensional Pool-Boiling Systems.
SIAM J. Appl. Dyn. Syst., 2008

A comparative study of efficient iterative solvers for generalized Stokes equations.
Numer. Linear Algebra Appl., 2008

2007
Finite Element Discretization Error Analysis of a Surface Tension Force in Two-Phase Incompressible Flows.
SIAM J. Numer. Anal., 2007

An extended pressure finite element space for two-phase incompressible flows with surface tension.
J. Comput. Phys., 2007

On the robustness of a multigrid method for anisotropic reaction-diffusion problems.
Computing, 2007

2006
Analysis of a Stokes interface problem.
Numerische Mathematik, 2006

Uniform preconditioners for a parameter dependent saddle point problem with application to generalized Stokes interface equations.
Numerische Mathematik, 2006

2005
Fast Iterative Solvers for Discrete Stokes Equations.
SIAM J. Sci. Comput., 2005

Parallel Multilevel Tetrahedral Grid Refinement.
SIAM J. Sci. Comput., 2005

2004
Convergence Analysis of a Multigrid Method for a Convection-Dominated Model Problem.
SIAM J. Numer. Anal., 2004

Grad-div stablilization for Stokes equations.
Math. Comput., 2004

2003
Convergence Analysis of the Gauss-Seidel Preconditioner for Discretized One Dimensional Euler Equations.
SIAM J. Numer. Anal., 2003

2002
Navier-Stokes Equations in Rotation Form: A Robust Multigrid Solver for the Velocity Problem.
SIAM J. Sci. Comput., 2002

Approximation of the Determinant of Large Sparse Symmetric Positive Definite Matrices.
SIAM J. Matrix Anal. Appl., 2002

Convergence analysis of a multigrid method for convection-diffusion equations.
Numerische Mathematik, 2002

2001
Robust Parallel Smoothing for Multigrid Via Sparse Approximate Inverses.
SIAM J. Sci. Comput., 2001

2000
On the Convergence of a Multigrid Method for Linear Reaction-Diffusion Problems.
Computing, 2000

1999
On the Approximate Cyclic Reduction Preconditioner.
SIAM J. Sci. Comput., 1999

On the convergence of basic iterative methods for convection-diffusion equations.
Numer. Linear Algebra Appl., 1999

1998
A Finite Volume Scheme for Solving Elliptic Boundary Value Problems on Composite Grids.
Computing, 1998

1996
A Multigrid Method Based on Incomplete Gaussian Elimination.
Numer. Linear Algebra Appl., 1996

On a Robust Multigrid Solver.
Computing, 1996

A Finite Difference Discretization Method for Elliptic Problems Composite Grids.
Computing, 1996

Further Analysis of the Local Defect Correction Method.
Computing, 1996

1993
Multigrid with matrix-dependent transfer operators for a singular perturbation problem.
Computing, 1993


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