Stefan A. Sauter

Publication Activity (10 Years)

Years Active: 1992-2024
Publications (10 Years): 31

Top Topics

Error Estimation

Boundary Conditions

Finite Element Methods

Top Venues

SIAM J. Numer. Anal.

Numerische Mathematik

Publications

Nis-Erik Bohne, Patrick Ciarlet Jr., Stefan A. Sauter
Crouzeix-Raviart elements on simplicial meshes in d dimensions. CoRR (2024)
Nis-Erik Bohne, Benedikt Gräßle, Stefan A. Sauter
Pressure-improved Scott-Vogelius type elements. CoRR (2024)
Francesco Florian, Ralf Hiptmair, Stefan A. Sauter
Skeleton Integral Equations for Acoustic Transmission Problems with Varying Coefficients. CoRR (2023)
Stefan A. Sauter
-Crouzeix-Raviart triangular elements. Comput. Math. Appl. 149 (2023)
Stefan A. Sauter, Céline Torres
On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D. Math. Comput. 92 (341) (2022)
Stefan A. Sauter, Céline Torres
On the Inf-Sup Stabillity of Crouzeix-Raviart Stokes Elements in 3D. CoRR (2022)
Carsten Carstensen, Stefan A. Sauter
Crouzeix-Raviart triangular elements are inf-sup stable. Math. Comput. 91 (337) (2022)
Benedikt Gräßle, Nis-Erik Bohne, Stefan A. Sauter
The pressure-wired Stokes element: a mesh-robust version of the Scott-Vogelius element. CoRR (2022)
Carsten Carstensen, Stefan A. Sauter
Critical functions and inf-sup stability of Crouzeix-Raviart elements. Comput. Math. Appl. 108 (2022)
Jens Markus Melenk, Stefan A. Sauter
Wavenumber-explicit hp-FEM analysis for Maxwell's equations with impedance boundary conditions. CoRR (2022)
Stefan A. Sauter
The inf-sup constant for Crouzeix-Raviart triangular elements of any polynomial order. CoRR (2022)
Jens Markus Melenk, Stefan A. Sauter
Wavenumber-Explicit hp-FEM Analysis for Maxwell's Equations with Transparent Boundary Conditions. Found. Comput. Math. 21 (1) (2021)
Marcus J. Grote, Simon Michel, Stefan A. Sauter
Stabilized leapfrog based local time-stepping method for the wave equation. Math. Comput. 90 (332) (2021)
Sarah Eberle, Francesco Florian, Ralf Hiptmair, Stefan A. Sauter
A Stable Boundary Integral Formulation of an Acoustic Wave Transmission Problem with Mixed Boundary Conditions. SIAM J. Math. Anal. 53 (2) (2021)
Dirk Praetorius, Sergey I. Repin, Stefan A. Sauter
Reliable Methods of Mathematical Modeling. Comput. Methods Appl. Math. 21 (2) (2021)
Maximilian Bernkopf, Stefan A. Sauter, Céline Torres, Alexander Veit
Solvability of Discrete Helmholtz Equations. CoRR (2021)
Ivan G. Graham, Stefan A. Sauter
Stability and finite element error analysis for the Helmholtz equation with variable coefficients. Math. Comput. 89 (321) (2020)
Stefan A. Sauter, Céline Torres
The Heterogeneous Helmholtz Problem with Spherical Symmetry: Green's Operator and Stability Estimates. CoRR (2020)
Jens Markus Melenk, Stefan A. Sauter, Céline Torres
Wavenumber Explicit Analysis for Galerkin Discretizations of Lossy Helmholtz Problems. SIAM J. Numer. Anal. 58 (4) (2020)
Marcus J. Grote, Simon Michel, Stefan A. Sauter
Stabilized leapfrog based local time-stepping method for the wave equation. CoRR (2020)
Rebekka Gasser, Joscha Gedicke, Stefan A. Sauter
Benchmark Computation of Eigenvalues with Large Defect for Non-Self-adjoint Elliptic Differential Operators. SIAM J. Sci. Comput. 41 (6) (2019)
Sarah Eberle, Francesco Florian, Ralf Hiptmair, Stefan A. Sauter
A Stable Boundary Integral Formulation of an Acoustic Wave Transmission Problem with Mixed Boundary Conditions. CoRR (2019)
Marcus J. Grote, Michaela Mehlin, Stefan A. Sauter
Convergence Analysis of Energy Conserving Explicit Local Time-Stepping Methods for the Wave Equation. SIAM J. Numer. Anal. 56 (2) (2018)
Urs Vögeli, Khadijeh Nedaiasl, Stefan A. Sauter
A fully discrete Galerkin method for Abel-type integral equations. Adv. Comput. Math. 44 (5) (2018)
Monika Weymuth, Stefan A. Sauter, Sergey I. Repin
A Posteriori Modelling-Discretization Error Estimate for Elliptic Problems with L ∞-Coefficients. Comput. Methods Appl. Math. 17 (3) (2017)
Stefan A. Sauter, Martin Schanz
Convolution quadrature for the wave equation with impedance boundary conditions. J. Comput. Phys. 334 (2017)
Sergey I. Repin, Tatiana Samrowski, Stefan A. Sauter
Estimates of the modeling error generated by homogenization of an elliptic boundary value problem. J. Num. Math. 24 (1) (2016)
Philippe G. Ciarlet, Patrick Ciarlet, Stefan A. Sauter, Corina Simian
Intrinsic finite element methods for the computation of fluxes for Poisson's equation. Numerische Mathematik 132 (3) (2016)
Stefan A. Sauter, Alexander Veit
Adaptive time discretization for retarded potentials. Numerische Mathematik 132 (3) (2016)
María López-Fernández, Stefan A. Sauter
Generalized convolution quadrature based on Runge-Kutta methods. Numerische Mathematik 133 (4) (2016)
Silvia Falletta, Stefan A. Sauter
The panel-clustering method for the wave equation in two spatial dimensions. J. Comput. Phys. 305 (2016)
Stefan A. Sauter, Jakob Zech
A Posteriori Error Estimation of hp-dG Finite Element Methods for Highly Indefinite Helmholtz Problems. SIAM J. Numer. Anal. 53 (5) (2015)
Tom H. Koornwinder, Stefan A. Sauter
The intersection of bivariate orthogonal polynomials on triangle patches. Math. Comput. 84 (294) (2015)
María López-Fernández, Stefan A. Sauter
Fast and stable contour integration for high order divided differences via elliptic functions. Math. Comput. 84 (293) (2015)
Jens Markus Melenk, Asieh Parsania, Stefan A. Sauter
General DG-Methods for Highly Indefinite Helmholtz Problems. J. Sci. Comput. 57 (3) (2013)
Randolph E. Bank, Asieh Parsania, Stefan A. Sauter
-finite element methods. Comput. Vis. Sci. 16 (5) (2013)
Stefan A. Sauter, Alexander Veit
A Galerkin method for retarded boundary integral equations with smooth and compactly supported temporal basis functions. Numerische Mathematik 123 (1) (2013)
Jonas Ballani, Lehel Banjai, Stefan A. Sauter, Alexander Veit
Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge-Kutta convolution quadrature. Numerische Mathematik 123 (4) (2013)
Willy Dörfler, Stefan A. Sauter
A Posteriori Error Estimation for Highly Indefinite Helmholtz Problems. Comput. Methods Appl. Math. 13 (3) (2013)
Wolfgang Hackbusch, Boris N. Khoromskij, Stefan A. Sauter, Eugene E. Tyrtyshnikov
Use of tensor formats in elliptic eigenvalue problems. Numer. Linear Algebra Appl. 19 (1) (2012)
Daniel Peterseim, Stefan A. Sauter
Finite Elements for Elliptic Problems with Highly Varying, Nonperiodic Diffusion Matrix. Multiscale Model. Simul. 10 (3) (2012)
Lars Grasedyck, Isabelle Greff, Stefan A. Sauter
The AL Basis for the Solution of Elliptic Problems in Heterogeneous Media. Multiscale Model. Simul. 10 (1) (2012)
Jens Markus Melenk, Stefan A. Sauter
Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation. SIAM J. Numer. Anal. 49 (3) (2011)
Tobias Preußer, Martin Rumpf, Stefan A. Sauter, Lars Ole Schwen
3D Composite Finite Elements for Elliptic Boundary Value Problems with Discontinuous Coefficients. SIAM J. Sci. Comput. 33 (5) (2011)
Boris N. Khoromskij, Stefan A. Sauter, Alexander Veit
Fast Quadrature Techniques for Retarded Potentials Based on TT/QTT Tensor Approximation. Comput. Methods Appl. Math. 11 (3) (2011)
Jens Markus Melenk, Stefan A. Sauter
Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions. Math. Comput. 79 (272) (2010)
Stefan A. Sauter
hp-Finite Elements for Elliptic Eigenvalue Problems: Error Estimates Which Are Explicit with Respect to Lambda, h, and p. SIAM J. Numer. Anal. 48 (1) (2010)
Ivo Babuska, Stefan A. Sauter
Efficient Solution of Anisotropic Lattice Equations by the Recovery Method. SIAM J. Sci. Comput. 30 (5) (2008)
Lehel Banjai, Stefan A. Sauter
Rapid Solution of the Wave Equation in Unbounded Domains. SIAM J. Numer. Anal. 47 (1) (2008)
Daniel Peterseim, Stefan A. Sauter
The Composite Mini Element - Coarse Mesh Computation of Stokes Flows on Complicated Domains. SIAM J. Numer. Anal. 46 (6) (2008)
Wolfgang Hackbusch, Boris N. Khoromskij, Stefan A. Sauter
Adaptive Galerkin boundary element methods with panel clustering. Numerische Mathematik 105 (4) (2007)
Ivan G. Graham, Lars Grasedyck, Wolfgang Hackbusch, Stefan A. Sauter
Optimal Panel-Clustering in the Presence of Anisotropic Mesh Refinement. SIAM J. Numer. Anal. 46 (1) (2007)
Lehel Banjai, Stefan A. Sauter
A Refined Galerkin Error and Stability Analysis for Highly Indefinite Variational Problems. SIAM J. Numer. Anal. 45 (1) (2007)
Sergey I. Repin, Stefan A. Sauter, Anton Smolianski
Two-Sided A Posteriori Error Estimates for Mixed Formulations of Elliptic Problems. SIAM J. Numer. Anal. 45 (3) (2007)
Annalisa Buffa, Stefan A. Sauter
On the Acoustic Single Layer Potential: Stabilization and Fourier Analysis. SIAM J. Sci. Comput. 28 (5) (2006)
Stefan A. Sauter
A Refined Finite Element Convergence Theory for Highly Indefinite Helmholtz Problems. Computing 78 (2) (2006)
Wolfgang Hackbusch, M. Löhndorf, Stefan A. Sauter
Coarsening of Boundary-element Spaces. Computing 77 (3) (2006)
Stefan A. Sauter, R. Warnke
Composite Finite Elements for Elliptic Boundary Value Problems with Discontinuous Coefficients. Computing 77 (1) (2006)
Markus Rech, Stefan A. Sauter, Anton Smolianski
Two-scale composite finite element method for Dirichlet problems on complicated domains. Numerische Mathematik 102 (4) (2006)
Steffen Börm, Stefan A. Sauter
BEM with linear complexity for the classical boundary integral operators. Math. Comput. 74 (251) (2005)
Carsten Carstensen, Stefan A. Sauter
A posteriori error analysis for elliptic pdes on domains with complicated structures. Numerische Mathematik 96 (4) (2004)
Sergey I. Repin, Stefan A. Sauter, Anton Smolianski
A Posteriori Estimation of Dimension Reduction Errors for Elliptic Problems on Thin Domains. SIAM J. Numer. Anal. 42 (4) (2004)
Wolfgang Dahmen, B. Faermann, Ivan G. Graham, Wolfgang Hackbusch, Stefan A. Sauter
Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method. Math. Comput. 73 (247) (2004)
Ivo Babuska, Stefan A. Sauter
Algebraic algorithms for the analysis of mechanical trusses. Math. Comput. 73 (248) (2004)
Sergey I. Repin, Stefan A. Sauter, Anton Smolianski
A Posteriori Error Estimation for the Dirichlet Problem with Account of the Error in the Approximation of Boundary Conditions. Computing 70 (3) (2003)
Stefan A. Sauter, Christian Lage
Transformation of hypersingular integrals and black-box cubature. Math. Comput. 70 (233) (2001)
Ivo Babuska, Stefan A. Sauter
Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers? SIAM Rev. 42 (3) (2000)
Ivan G. Graham, Wolfgang Hackbusch, Stefan A. Sauter
Discrete boundary element methods on general meshes in 3D. Numerische Mathematik 86 (1) (2000)
Ivan G. Graham, Wolfgang Hackbusch, Stefan A. Sauter
Hybrid Galerkin boundary elements: theory and implementation. Numerische Mathematik 86 (1) (2000)
Stefan A. Sauter
Variable Order Panel Clustering. Computing 64 (3) (2000)
Stefan A. Sauter
On the stability of the incomplete Cholesky decomposition for a singular perturbed problem, where the coefficient matrix is not an M-matrix. Numer. Linear Algebra Appl. 2 (1) (1995)
Wolfgang Hackbusch, Stefan A. Sauter
On numerical cubatures of nearly singular surface integrals arising in BEM collocation. Computing 52 (2) (1994)
Stefan A. Sauter, Gabriel Wittum
A multigrid method for the computation of eigenmodes of closed water basins. IMPACT Comput. Sci. Eng. 4 (2) (1992)