Arnold Reusken

Publication Activity (10 Years)

Years Active: 1993-2024
Publications (10 Years): 36

Top Topics

Discretization Methods

Partial Differential Equations

Diffuse Optical Tomography

Top Venues

SIAM J. Numer. Anal.

SIAM J. Sci. Comput.

Publications

Maxim A. Olshanskii, Arnold Reusken, Paul Schwering
A narrow band finite element method for the level set equation. CoRR (2024)
Arnold Reusken, Hauke Sass
Analysis of a space-time unfitted finite element method for PDEs on evolving surfaces. CoRR (2024)
Arnold Reusken
Analysis of the Taylor-Hood Surface Finite Element Method for the surface Stokes equation. CoRR (2024)
Elena Bachini, Philip Brandner, Thomas Jankuhn, Michael Nestler, Simon Praetorius, Arnold Reusken, Axel Voigt
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties. J. Num. Math. 32 (1) (2024)
Maxim A. Olshanskii, Arnold Reusken, Paul Schwering
An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces. CoRR (2023)
Maxim A. Olshanskii, Arnold Reusken, Paul Schwering
An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces. Math. Comput. 93 (349) (2023)
Sven Gross, Arnold Reusken
Analysis of optimal preconditioners for CutFEM. Numer. Linear Algebra Appl. 30 (5) (2023)
Hauke Sass, Arnold Reusken
An accurate and robust Eulerian finite element method for partial differential equations on evolving surfaces. Comput. Math. Appl. 146 (2023)
Philip Brandner, Thomas Jankuhn, Simon Praetorius, Arnold Reusken, Axel Voigt
Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations. SIAM J. Sci. Comput. 44 (4) (2022)
Hauke Sass, Arnold Reusken
An Accurate and Robust Eulerian Finite Element Method for Partial Differential Equations on Evolving Surfaces. CoRR (2022)
Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov
Tangential Navier-Stokes equations on evolving surfaces: Analysis and simulations. CoRR (2022)
Arnold Reusken
Analysis of finite element methods for surface vector-Laplace eigenproblems. Math. Comput. 91 (336) (2022)
Sven Gross, Arnold Reusken
Analysis of optimal preconditioners for CutFEM. CoRR (2022)
Elena Bachini, Philip Brandner, Thomas Jankuhn, Michael Nestler, Simon Praetorius, Arnold Reusken, Axel Voigt
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties. CoRR (2022)
Philip Brandner, Arnold Reusken, Paul Schwering
On derivations of evolving surface Navier-Stokes equations. CoRR (2021)
Philip Brandner, Thomas Jankuhn, Simon Praetorius, Arnold Reusken, Axel Voigt
Finite element discretization methods for velocity-pressure and stream function formulations of surface Stokes equations. CoRR (2021)
Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov
Taylor-Hood elements for surface PDEs. Math. Comput. 90 (330) (2021)
Sven Gross, Arnold Reusken
Optimal preconditioners for a Nitsche stabilized fictitious domain finite element method. CoRR (2021)
Arnold Reusken, Benjamin Stamm
Analysis of the Schwarz Domain Decomposition Method for the Conductor-like Screening Continuum Model. SIAM J. Numer. Anal. 59 (2) (2021)
Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov
Error analysis of higher order Trace Finite Element Methods for the surface Stokes equation. J. Num. Math. 29 (3) (2021)
Arnold Reusken, Benjamin Stamm
Analysis of the Schwarz domain decomposition method for the conductor-like screening continuum model. CoRR (2020)
Arnold Reusken
Analysis of finite element methods for surface vector-Laplace eigenproblems. CoRR (2020)
Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov
Error analysis of higher order trace finite element methods for the surface Stokes equations. CoRR (2020)
Thomas Ludescher, Sven Gross, Arnold Reusken
A Multigrid Method for Unfitted Finite Element Discretizations of Elliptic Interface Problems. SIAM J. Sci. Comput. 42 (1) (2020)
Igor Voulis, Arnold Reusken
Discontinuous Galerkin time discretization methods for parabolic problems with linear constraints. J. Num. Math. 27 (3) (2019)
Christoph Lehrenfeld, Arnold Reusken
L2-error analysis of an isoparametric unfitted finite element method for elliptic interface problems. J. Num. Math. 27 (2) (2019)
Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov
Taylor-Hood elements for surface PDEs. CoRR (2019)
Philip Brandner, Arnold Reusken
Finite Element Error Analysis of Surface Stokes Equations in Stream Function Formulation. CoRR (2019)
Thomas Jankuhn, Arnold Reusken
Higher order Trace Finite Element Methods for the Surface Stokes Equation. CoRR (2019)
Maxim A. Olshanskii, Annalisa Quaini, Arnold Reusken, Vladimir Yushutin
A Finite Element Method for the Surface Stokes Problem. SIAM J. Sci. Comput. 40 (4) (2018)
Sven Gross, Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken
A Trace Finite Element Method for Vector-Laplacians on Surfaces. SIAM J. Numer. Anal. 56 (4) (2018)
Jörg Grande, Christoph Lehrenfeld, Arnold Reusken
Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces. SIAM J. Numer. Anal. 56 (1) (2018)
Christoph Lehrenfeld, Arnold Reusken
Optimal preconditioners for Nitsche-XFEM discretizations of interface problems. Numerische Mathematik 135 (2) (2017)
Matthias Kirchhart, Sven Groß, Arnold Reusken
Analysis of an XFEM Discretization for Stokes Interface Problems. SIAM J. Sci. Comput. 38 (2) (2016)
Jörg Grande, Arnold Reusken
A Higher Order Finite Element Method for Partial Differential Equations on Surfaces. SIAM J. Numer. Anal. 54 (1) (2016)
Sven Groß, Thomas Ludescher, Maxim A. Olshanskii, Arnold Reusken
Robust Preconditioning for XFEM Applied to Time-Dependent Stokes Problems. SIAM J. Sci. Comput. 38 (6) (2016)
Maxim A. Olshanskii, Arnold Reusken
Error Analysis of a Space-Time Finite Element Method for Solving PDEs on Evolving Surfaces. SIAM J. Numer. Anal. 52 (4) (2014)
Arnold Reusken, Patrick Esser
Analysis of time discretization methods for Stokes equations with a nonsmooth forcing term. Numerische Mathematik 126 (2) (2014)
Maxim A. Olshanskii, Arnold Reusken, Xianmin Xu
An Eulerian Space-Time Finite Element Method for Diffusion Problems on Evolving Surfaces. SIAM J. Numer. Anal. 52 (3) (2014)
Christoph Lehrenfeld, Arnold Reusken
Optimal preconditioners for Nitsche-XFEM discretizations of interface problems. CoRR (2014)
Christoph Lehrenfeld, Arnold Reusken
Analysis of a Nitsche XFEM-DG Discretization for a Class of Two-Phase Mass Transport Problems. SIAM J. Numer. Anal. 51 (2) (2013)
Arnold Reusken
A Finite Element Level Set Redistancing Method Based on Gradient Recovery. SIAM J. Numer. Anal. 51 (5) (2013)
Maxim A. Olshanskii, Arnold Reusken, Xianmin Xu
On surface meshes induced by level set functions. Comput. Vis. Sci. 15 (2) (2012)
Christoph Lehrenfeld, Arnold Reusken
Nitsche-XFEM with Streamline Diffusion Stabilization for a Two-Phase Mass Transport Problem. SIAM J. Sci. Comput. 34 (5) (2012)
Maka Karalashvili, Sven Groß, Wolfgang Marquardt, Adel Mhamdi, Arnold Reusken
Identification of Transport Coefficient Models in Convection-Diffusion Equations. SIAM J. Sci. Comput. 33 (1) (2011)
Maxim A. Olshanskii, Arnold Reusken
A finite element method for surface PDEs: matrix properties. Numerische Mathematik 114 (3) (2010)
Maxim A. Olshanskii, Arnold Reusken, Jörg Grande
A Finite Element Method for Elliptic Equations on Surfaces. SIAM J. Numer. Anal. 47 (5) (2009)
Michel F. M. Speetjens, Arnold Reusken, Stanislaus Maier-Paape, Wolfgang Marquardt
Stability Analysis of Two-Dimensional Pool-Boiling Systems. SIAM J. Appl. Dyn. Syst. 7 (3) (2008)
Maxim Larin, Arnold Reusken
A comparative study of efficient iterative solvers for generalized Stokes equations. Numer. Linear Algebra Appl. 15 (1) (2008)
Maka Karalashvili, Sven Groß, Adel Mhamdi, Arnold Reusken, Wolfgang Marquardt
Incremental Identification of Transport Coefficients in Convection-Diffusion Systems. SIAM J. Sci. Comput. 30 (6) (2008)
Sven Groß, Arnold Reusken
An extended pressure finite element space for two-phase incompressible flows with surface tension. J. Comput. Phys. 224 (1) (2007)
Sven Groß, Arnold Reusken
Finite Element Discretization Error Analysis of a Surface Tension Force in Two-Phase Incompressible Flows. SIAM J. Numer. Anal. 45 (4) (2007)
Arnold Reusken, M. Soemers
On the robustness of a multigrid method for anisotropic reaction-diffusion problems. Computing 80 (4) (2007)
Maxim A. Olshanskii, Arnold Reusken
Analysis of a Stokes interface problem. Numerische Mathematik 103 (1) (2006)
Maxim A. Olshanskii, Jörg Peters, Arnold Reusken
Uniform preconditioners for a parameter dependent saddle point problem with application to generalized Stokes interface equations. Numerische Mathematik 105 (1) (2006)
Sven Groß, Arnold Reusken
Parallel Multilevel Tetrahedral Grid Refinement. SIAM J. Sci. Comput. 26 (4) (2005)
Jörg Peters, Volker Reichelt, Arnold Reusken
Fast Iterative Solvers for Discrete Stokes Equations. SIAM J. Sci. Comput. 27 (2) (2005)
Maxim A. Olshanskii, Arnold Reusken
Grad-div stablilization for Stokes equations. Math. Comput. 73 (248) (2004)
Maxim A. Olshanskii, Arnold Reusken
Convergence Analysis of a Multigrid Method for a Convection-Dominated Model Problem. SIAM J. Numer. Anal. 42 (3) (2004)
Arnold Reusken
Convergence Analysis of the Gauss-Seidel Preconditioner for Discretized One Dimensional Euler Equations. SIAM J. Numer. Anal. 41 (4) (2003)
Arnold Reusken
Convergence analysis of a multigrid method for convection-diffusion equations. Numerische Mathematik 91 (2) (2002)
Arnold Reusken
Approximation of the Determinant of Large Sparse Symmetric Positive Definite Matrices. SIAM J. Matrix Anal. Appl. 23 (3) (2002)
Maxim A. Olshanskii, Arnold Reusken
Navier-Stokes Equations in Rotation Form: A Robust Multigrid Solver for the Velocity Problem. SIAM J. Sci. Comput. 23 (5) (2002)
Oliver Bröker, Marcus J. Grote, Carsten Mayer, Arnold Reusken
Robust Parallel Smoothing for Multigrid Via Sparse Approximate Inverses. SIAM J. Sci. Comput. 23 (4) (2001)
Maxim A. Olshanskii, Arnold Reusken
On the Convergence of a Multigrid Method for Linear Reaction-Diffusion Problems. Computing 65 (3) (2000)
Jürgen Bey, Arnold Reusken
On the convergence of basic iterative methods for convection-diffusion equations. Numer. Linear Algebra Appl. 6 (5) (1999)
Arnold Reusken
On the Approximate Cyclic Reduction Preconditioner. SIAM J. Sci. Comput. 21 (2) (1999)
M. J. H. Anthonissen, B. van't Hof, Arnold Reusken
A Finite Volume Scheme for Solving Elliptic Boundary Value Problems on Composite Grids. Computing 61 (4) (1998)
P. J. J. Ferket, Arnold Reusken
Further Analysis of the Local Defect Correction Method. Computing 56 (2) (1996)
Arnold Reusken
A Multigrid Method Based on Incomplete Gaussian Elimination. Numer. Linear Algebra Appl. 3 (5) (1996)
Arnold Reusken
On a Robust Multigrid Solver. Computing 56 (3) (1996)
P. J. J. Ferket, Arnold Reusken
A Finite Difference Discretization Method for Elliptic Problems Composite Grids. Computing 56 (4) (1996)
Arnold Reusken
Multigrid with matrix-dependent transfer operators for a singular perturbation problem. Computing 50 (3) (1993)