Arnold Reusken

,

,

Paul Schwering

CoRR, 2024

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

[BibT_eX]

[DOI]

CoRR, 2024

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

[BibT_eX]

[DOI]

,

Hauke Sass

CoRR, 2024

Analysis of optimal preconditioners for CutFEM.

[BibT_eX]

[DOI]

Sven Gross

,

Numer. Linear Algebra Appl., October, 2023

An accurate and robust Eulerian finite element method for partial differential equations on evolving surfaces.

[BibT_eX]

[DOI]

Hauke Sass

,

Comput. Math. Appl., September, 2023

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

[BibT_eX]

[DOI]

,

,

Paul Schwering

Math. Comput., 2023

Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations.

[BibT_eX]

[DOI]

,

,

,

,

SIAM J. Sci. Comput., 2022

Analysis of finite element methods for surface vector-Laplace eigenproblems.

[BibT_eX]

[DOI]

Math. Comput., 2022

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

[BibT_eX]

[DOI]

,

,

Alexander Zhiliakov

CoRR, 2022

Analysis of the Schwarz Domain Decomposition Method for the Conductor-like Screening Continuum Model.

[BibT_eX]

[DOI]

,

Benjamin Stamm

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.

[BibT_eX]

[DOI]

,

,

Alexander Zhiliakov

Math. Comput., 2021

Error analysis of higher order Trace Finite Element Methods for the surface Stokes equation.

[BibT_eX]

[DOI]

,

,

,

J. Num. Math., 2021

On derivations of evolving surface Navier-Stokes equations.

[BibT_eX]

[DOI]

Philip Brandner

,

,

Paul Schwering

CoRR, 2021

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

[BibT_eX]

[DOI]

Sven Gross

,

CoRR, 2021

A Multigrid Method for Unfitted Finite Element Discretizations of Elliptic Interface Problems.

[BibT_eX]

[DOI]

Thomas Ludescher

,

Sven Gross

,

SIAM J. Sci. Comput., 2020

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

[BibT_eX]

[DOI]

,

,

,

CoRR, 2020

Discontinuous Galerkin time discretization methods for parabolic problems with linear constraints.

[BibT_eX]

[DOI]

Igor Voulis

,

J. Num. Math., 2019

L2-error analysis of an isoparametric unfitted finite element method for elliptic interface problems.

[BibT_eX]

[DOI]

,

J. Num. Math., 2019

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

[BibT_eX]

[DOI]

Philip Brandner

,

CoRR, 2019

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

[BibT_eX]

[DOI]

Thomas Jankuhn

,

CoRR, 2019

A Finite Element Method for the Surface Stokes Problem.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Sci. Comput., 2018

A Trace Finite Element Method for Vector-Laplacians on Surfaces.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Numer. Anal., 2018

Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces.

[BibT_eX]

[DOI]

Jörg Grande

,

,

SIAM J. Numer. Anal., 2018

Optimal preconditioners for Nitsche-XFEM discretizations of interface problems.

[BibT_eX]

[DOI]

,

Numerische Mathematik, 2017

Analysis of an XFEM Discretization for Stokes Interface Problems.

[BibT_eX]

[DOI]

Matthias Kirchhart

,

,

SIAM J. Sci. Comput., 2016

Robust Preconditioning for XFEM Applied to Time-Dependent Stokes Problems.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Sci. Comput., 2016

A Higher Order Finite Element Method for Partial Differential Equations on Surfaces.

[BibT_eX]

[DOI]

Jörg Grande

,

SIAM J. Numer. Anal., 2016

An Eulerian Space-Time Finite Element Method for Diffusion Problems on Evolving Surfaces.

[BibT_eX]

[DOI]

,

,

Xianmin Xu

SIAM J. Numer. Anal., 2014

Error Analysis of a Space-Time Finite Element Method for Solving PDEs on Evolving Surfaces.

[BibT_eX]

[DOI]

,

SIAM J. Numer. Anal., 2014

Analysis of time discretization methods for Stokes equations with a nonsmooth forcing term.

[BibT_eX]

[DOI]

,

Patrick Esser

Numerische Mathematik, 2014

A Finite Element Level Set Redistancing Method Based on Gradient Recovery.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2013

Analysis of a Nitsche XFEM-DG Discretization for a Class of Two-Phase Mass Transport Problems.

[BibT_eX]

[DOI]

,

SIAM J. Numer. Anal., 2013

Nitsche-XFEM with Streamline Diffusion Stabilization for a Two-Phase Mass Transport Problem.

[BibT_eX]

[DOI]

,

SIAM J. Sci. Comput., 2012

On surface meshes induced by level set functions.

[BibT_eX]

[DOI]

,

,

Xianmin Xu

Comput. Vis. Sci., 2012

Identification of Transport Coefficient Models in Convection-Diffusion Equations.

[BibT_eX]

[DOI]

,

,

,

,

SIAM J. Sci. Comput., 2011

A finite element method for surface PDEs: matrix properties.

[BibT_eX]

[DOI]

,

Numerische Mathematik, 2010

A Finite Element Method for Elliptic Equations on Surfaces.

[BibT_eX]

[DOI]

,

,

Jörg Grande

SIAM J. Numer. Anal., 2009

Incremental Identification of Transport Coefficients in Convection-Diffusion Systems.

[BibT_eX]

[DOI]

,

,

,

,

SIAM J. Sci. Comput., 2008

Stability Analysis of Two-Dimensional Pool-Boiling Systems.

[BibT_eX]

[DOI]

Michel F. M. Speetjens

,

,

Stanislaus Maier-Paape

,

Wolfgang Marquardt

SIAM J. Appl. Dyn. Syst., 2008

A comparative study of efficient iterative solvers for generalized Stokes equations.

[BibT_eX]

[DOI]

Maxim Larin

,

Numer. Linear Algebra Appl., 2008

Finite Element Discretization Error Analysis of a Surface Tension Force in Two-Phase Incompressible Flows.

[BibT_eX]

[DOI]

,

SIAM J. Numer. Anal., 2007

An extended pressure finite element space for two-phase incompressible flows with surface tension.

[BibT_eX]

[DOI]

,

J. Comput. Phys., 2007

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

[BibT_eX]

[DOI]

,

M. Soemers

Computing, 2007

Analysis of a Stokes interface problem.

[BibT_eX]

[DOI]

,

Numerische Mathematik, 2006

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

[BibT_eX]

[DOI]

,

Jörg Peters

,

Numerische Mathematik, 2006

Fast Iterative Solvers for Discrete Stokes Equations.

[BibT_eX]

[DOI]

Jörg Peters

,

Volker Reichelt

,

SIAM J. Sci. Comput., 2005

Parallel Multilevel Tetrahedral Grid Refinement.

[BibT_eX]

[DOI]

,

SIAM J. Sci. Comput., 2005

Convergence Analysis of a Multigrid Method for a Convection-Dominated Model Problem.

[BibT_eX]

[DOI]

,

SIAM J. Numer. Anal., 2004

Grad-div stablilization for Stokes equations.

[BibT_eX]

[DOI]

,

Math. Comput., 2004

Convergence Analysis of the Gauss-Seidel Preconditioner for Discretized One Dimensional Euler Equations.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2003

Navier-Stokes Equations in Rotation Form: A Robust Multigrid Solver for the Velocity Problem.

[BibT_eX]

[DOI]

,

SIAM J. Sci. Comput., 2002

Approximation of the Determinant of Large Sparse Symmetric Positive Definite Matrices.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2002

Convergence analysis of a multigrid method for convection-diffusion equations.

[BibT_eX]

[DOI]

Numerische Mathematik, 2002

Robust Parallel Smoothing for Multigrid Via Sparse Approximate Inverses.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Sci. Comput., 2001

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

[BibT_eX]

[DOI]

,

Computing, 2000

On the Approximate Cyclic Reduction Preconditioner.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 1999

On the convergence of basic iterative methods for convection-diffusion equations.

[BibT_eX]

[DOI]

Jürgen Bey

,

Numer. Linear Algebra Appl., 1999

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

[BibT_eX]

[DOI]

M. J. H. Anthonissen

,

B. van't Hof

,

Computing, 1998

A Multigrid Method Based on Incomplete Gaussian Elimination.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 1996

On a Robust Multigrid Solver.

[BibT_eX]

[DOI]

Computing, 1996

A Finite Difference Discretization Method for Elliptic Problems Composite Grids.

[BibT_eX]

[DOI]

P. J. J. Ferket

,

Computing, 1996

Further Analysis of the Local Defect Correction Method.

[BibT_eX]

[DOI]

P. J. J. Ferket

,

Computing, 1996

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

[BibT_eX]

[DOI]