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

Further Analysis of the Local Defect Correction Method. - P. J. J. Ferket; Arnold Reusken (Computing, 1996)

A Finite Difference Discretization Method for Elliptic Problems Composite Grids. - P. J. J. Ferket; Arnold Reusken (Computing, 1996)

On a Robust Multigrid Solver. - Arnold Reusken (Computing, 1996)

A Multigrid Method Based on Incomplete Gaussian Elimination. - Arnold Reusken (Numer. Linear Algebra Appl., 1996)

A Finite Volume Scheme for Solving Elliptic Boundary Value Problems on Composite Grids. - M. J. H. Anthonissen; B. van't Hof; Arnold Reusken (Computing, 1998)

On the convergence of basic iterative methods for convection-diffusion equations. - Jürgen Bey; Arnold Reusken (Numer. Linear Algebra Appl., 1999)

On the Approximate Cyclic Reduction Preconditioner. - Arnold Reusken (SIAM J. Sci. Comput., 1999)

On the Convergence of a Multigrid Method for Linear Reaction-Diffusion Problems. - Maxim A. Olshanskii; Arnold Reusken (Computing, 2000)

Robust Parallel Smoothing for Multigrid Via Sparse Approximate Inverses. - Oliver Bröker; Marcus J. Grote; Carsten Mayer; Arnold Reusken (SIAM J. Sci. Comput., 2001)

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

Approximation of the Determinant of Large Sparse Symmetric Positive Definite Matrices. - Arnold Reusken (SIAM J. Matrix Anal. Appl., 2002)

Navier-Stokes Equations in Rotation Form: A Robust Multigrid Solver for the Velocity Problem. - Maxim A. Olshanskii; Arnold Reusken (SIAM J. Sci. Comput., 2002)

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

Grad-div stablilization for Stokes equations. - Maxim A. Olshanskii; Arnold Reusken (Math. Comput., 2004)

Convergence Analysis of a Multigrid Method for a Convection-Dominated Model Problem. - Maxim A. Olshanskii; Arnold Reusken (SIAM J. Numer. Anal., 2004)

Parallel Multilevel Tetrahedral Grid Refinement. - Sven Groß; Arnold Reusken (SIAM J. Sci. Comput., 2005)

Fast Iterative Solvers for Discrete Stokes Equations. - Jörg Peters 004; Volker Reichelt; Arnold Reusken (SIAM J. Sci. Comput., 2005)

Uniform preconditioners for a parameter dependent saddle point problem with application to generalized Stokes interface equations. - Maxim A. Olshanskii; Jörg Peters 004; Arnold Reusken (Numerische Mathematik, 2006)

Analysis of a Stokes interface problem. - Maxim A. Olshanskii; Arnold Reusken (Numerische Mathematik, 2006)

On the robustness of a multigrid method for anisotropic reaction-diffusion problems. - Arnold Reusken; M. Soemers (Computing, 2007)

An extended pressure finite element space for two-phase incompressible flows with surface tension. - Sven Groß; Arnold Reusken (J. Comput. Phys., 2007)

Finite Element Discretization Error Analysis of a Surface Tension Force in Two-Phase Incompressible Flows. - Sven Groß; Arnold Reusken (SIAM J. Numer. Anal., 2007)

A comparative study of efficient iterative solvers for generalized Stokes equations. - Maxim Larin; Arnold Reusken (Numer. Linear Algebra Appl., 2008)

Stability Analysis of Two-Dimensional Pool-Boiling Systems. - Michel F. M. Speetjens; Arnold Reusken; Stanislaus Maier-Paape; Wolfgang Marquardt (SIAM J. Appl. Dyn. Syst., 2008)

Incremental Identification of Transport Coefficients in Convection-Diffusion Systems. - Maka Karalashvili; Sven Groß; Adel Mhamdi; Arnold Reusken; Wolfgang Marquardt (SIAM J. Sci. Comput., 2008)

A Finite Element Method for Elliptic Equations on Surfaces. - Maxim A. Olshanskii; Arnold Reusken; Jörg Grande (SIAM J. Numer. Anal., 2009)

A finite element method for surface PDEs: matrix properties. - Maxim A. Olshanskii; Arnold Reusken (Numerische Mathematik, 2010)

Identification of Transport Coefficient Models in Convection-Diffusion Equations. - Maka Karalashvili; Sven Groß; Wolfgang Marquardt; Adel Mhamdi; Arnold Reusken (SIAM J. Sci. Comput., 2011)

On surface meshes induced by level set functions. - Maxim A. Olshanskii; Arnold Reusken; Xianmin Xu (Comput. Vis. Sci., 2012)

Nitsche-XFEM with Streamline Diffusion Stabilization for a Two-Phase Mass Transport Problem. - Christoph Lehrenfeld; Arnold Reusken (SIAM J. Sci. Comput., 2012)

Analysis of a Nitsche XFEM-DG Discretization for a Class of Two-Phase Mass Transport Problems. - Christoph Lehrenfeld; Arnold Reusken (SIAM J. Numer. Anal., 2013)

A Finite Element Level Set Redistancing Method Based on Gradient Recovery. - Arnold Reusken (SIAM J. Numer. Anal., 2013)

Analysis of time discretization methods for Stokes equations with a nonsmooth forcing term. - Arnold Reusken; Patrick Esser (Numerische Mathematik, 2014)

Error Analysis of a Space-Time Finite Element Method for Solving PDEs on Evolving Surfaces. - Maxim A. Olshanskii; Arnold Reusken (SIAM J. Numer. Anal., 2014)

An Eulerian Space-Time Finite Element Method for Diffusion Problems on Evolving Surfaces. - Maxim A. Olshanskii; Arnold Reusken; Xianmin Xu (SIAM J. Numer. Anal., 2014)

A Higher Order Finite Element Method for Partial Differential Equations on Surfaces. - Jörg Grande; Arnold Reusken (SIAM J. Numer. Anal., 2016)

Robust Preconditioning for XFEM Applied to Time-Dependent Stokes Problems. - Sven Groß; Thomas Ludescher; Maxim A. Olshanskii; Arnold Reusken (SIAM J. Sci. Comput., 2016)

Analysis of an XFEM Discretization for Stokes Interface Problems. - Matthias Kirchhart; Sven Groß; Arnold Reusken (SIAM J. Sci. Comput., 2016)

Optimal preconditioners for Nitsche-XFEM discretizations of interface problems. - Christoph Lehrenfeld; Arnold Reusken (Numerische Mathematik, 2017)

Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces. - Jörg Grande; Christoph Lehrenfeld; Arnold Reusken (SIAM J. Numer. Anal., 2018)

A Trace Finite Element Method for Vector-Laplacians on Surfaces. - Sven Gross; Thomas Jankuhn; Maxim A. Olshanskii; Arnold Reusken (SIAM J. Numer. Anal., 2018)

A Finite Element Method for the Surface Stokes Problem. - Maxim A. Olshanskii; Annalisa Quaini; Arnold Reusken; Vladimir Yushutin (SIAM J. Sci. Comput., 2018)

Higher order Trace Finite Element Methods for the Surface Stokes Equation. - Thomas Jankuhn; Arnold Reusken (CoRR, 2019)

Finite Element Error Analysis of Surface Stokes Equations in Stream Function Formulation. - Philip Brandner; Arnold Reusken (CoRR, 2019)

L2-error analysis of an isoparametric unfitted finite element method for elliptic interface problems. - Christoph Lehrenfeld; Arnold Reusken (J. Num. Math., 2019)

Discontinuous Galerkin time discretization methods for parabolic problems with linear constraints. - Igor Voulis; Arnold Reusken (J. Num. Math., 2019)

Error analysis of higher order trace finite element methods for the surface Stokes equations. - Thomas Jankuhn; Maxim A. Olshanskii; Arnold Reusken; Alexander Zhiliakov (CoRR, 2020)

A Multigrid Method for Unfitted Finite Element Discretizations of Elliptic Interface Problems. - Thomas Ludescher; Sven Gross; Arnold Reusken (SIAM J. Sci. Comput., 2020)

Optimal preconditioners for a Nitsche stabilized fictitious domain finite element method. - Sven Gross; Arnold Reusken (CoRR, 2021)

On derivations of evolving surface Navier-Stokes equations. - Philip Brandner; Arnold Reusken; Paul Schwering (CoRR, 2021)

Error analysis of higher order Trace Finite Element Methods for the surface Stokes equation. - Thomas Jankuhn; Maxim A. Olshanskii; Arnold Reusken; Alexander Zhiliakov (J. Num. Math., 2021)

Inf-sup stability of the trace P2-P1 Taylor-Hood elements for surface PDEs. - Maxim A. Olshanskii; Arnold Reusken; Alexander Zhiliakov (Math. Comput., 2021)

Analysis of the Schwarz Domain Decomposition Method for the Conductor-like Screening Continuum Model. - Arnold Reusken; Benjamin Stamm (SIAM J. Numer. Anal., 2021)

Tangential Navier-Stokes equations on evolving surfaces: Analysis and simulations. - Maxim A. Olshanskii; Arnold Reusken; Alexander Zhiliakov (CoRR, 2022)

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

Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations. - Philip Brandner; Thomas Jankuhn; Simon Praetorius; Arnold Reusken; Axel Voigt (SIAM J. Sci. Comput., 2022)

An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces. - Maxim A. Olshanskii; Arnold Reusken; Paul Schwering (Math. Comput., 2023)

An accurate and robust Eulerian finite element method for partial differential equations on evolving surfaces. - Hauke Sass; Arnold Reusken (Comput. Math. Appl., 2023)

Analysis of optimal preconditioners for CutFEM. - Sven Gross; Arnold Reusken (Numer. Linear Algebra Appl., 2023)

Analysis of a space-time unfitted finite element method for PDEs on evolving surfaces. - Arnold Reusken; Hauke Sass (CoRR, 2024)

Numerical analysis of a constrained strain energy minimization problem. - Tilman Alemán; Arnold Reusken (CoRR, 2024)

Analysis of the Taylor-Hood surface finite element method for the surface Stokes equation. - Arnold Reusken (Math. Comput., 2024)

Diffusion of tangential tensor fields: numerical issues and influence of geometric properties. - Elena Bachini; Philip Brandner; Thomas Jankuhn; Michael Nestler; Simon Praetorius; Arnold Reusken; Axel Voigt (J. Num. Math., 2024)

A Narrow Band Finite Element Method for the Level Set Equation. - Maxim A. Olshanskii; Arnold Reusken; Paul Schwering (SIAM J. Sci. Comput., 2025)

Discretization error analysis for a radially symmetric harmonic map heat flow problem. - Nam Anh Nguyen; Arnold Reusken (CoRR, 2025)

Analysis of a finite element method for PDEs in evolving domains with topological changes. - Maxim A. Olshanskii; Arnold Reusken (CoRR, 2025)

Error analysis for a Finite Element Discretization of a radially symmetric harmonic map heat flow problem. - Nam Anh Nguyen; Arnold Reusken (CoRR, 2025)