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Stefan A. Sauter
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- affiliation: University of Zurich, Switzerland
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2020 – today
- 2024
- [j64]Benedikt Gräßle, Nis-Erik Bohne, Stefan A. Sauter:
The pressure-wired Stokes element: a mesh-robust version of the Scott-Vogelius element. Numerische Mathematik 156(5): 1781-1807 (2024) - [j63]Francesco Florian, Ralf Hiptmair
, Stefan A. Sauter:
Skeleton Integral Equations for Acoustic Transmission Problems with Varying Coefficients. SIAM J. Math. Anal. 56(5): 6232-6267 (2024) - [i15]Nis-Erik Bohne, Benedikt Gräßle, Stefan A. Sauter:
Pressure-improved Scott-Vogelius type elements. CoRR abs/2403.04499 (2024) - [i14]Nis-Erik Bohne, Patrick Ciarlet Jr., Stefan A. Sauter:
Crouzeix-Raviart elements on simplicial meshes in d dimensions. CoRR abs/2407.04361 (2024) - [i13]C. Lin, Jens Markus Melenk, Stefan A. Sauter:
The Green's function for an acoustic half-space problem with impedance boundary conditions Part I: Representation formula. CoRR abs/2408.03108 (2024) - [i12]Marcus J. Grote, Simon Michel, Stefan A. Sauter:
Explicit Local Time-Stepping for the Inhomogeneous Wave Equation with Optimal Convergence. CoRR abs/2409.18085 (2024) - 2023
- [j62]Stefan A. Sauter:
The inf-sup constant for hp-Crouzeix-Raviart triangular elements. Comput. Math. Appl. 149: 49-70 (2023) - [i11]Francesco Florian, Ralf Hiptmair, Stefan A. Sauter:
Skeleton Integral Equations for Acoustic Transmission Problems with Varying Coefficients. CoRR abs/2305.00959 (2023) - 2022
- [j61]Carsten Carstensen, Stefan A. Sauter:
Critical functions and inf-sup stability of Crouzeix-Raviart elements. Comput. Math. Appl. 108: 12-23 (2022) - [j60]Carsten Carstensen, Stefan A. Sauter:
Crouzeix-Raviart triangular elements are inf-sup stable. Math. Comput. 91(337): 2041-2057 (2022) - [j59]Stefan A. Sauter, Céline Torres:
On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D. Math. Comput. 92(341): 1033-1059 (2022) - [i10]Jens Markus Melenk, Stefan A. Sauter:
Wavenumber-explicit hp-FEM analysis for Maxwell's equations with impedance boundary conditions. CoRR abs/2201.02602 (2022) - [i9]Stefan A. Sauter:
The inf-sup constant for Crouzeix-Raviart triangular elements of any polynomial order. CoRR abs/2204.01270 (2022) - [i8]Stefan A. Sauter, Céline Torres:
On the Inf-Sup Stabillity of Crouzeix-Raviart Stokes Elements in 3D. CoRR abs/2205.00062 (2022) - [i7]Benedikt Gräßle, Nis-Erik Bohne, Stefan A. Sauter:
The pressure-wired Stokes element: a mesh-robust version of the Scott-Vogelius element. CoRR abs/2212.09673 (2022) - 2021
- [j58]Dirk Praetorius
Reliable Methods of Mathematical Modeling. Comput. Methods Appl. Math. 21(2): 263-266 (2021) - [j57]Jens Markus Melenk, Stefan A. Sauter:
Wavenumber-Explicit hp-FEM Analysis for Maxwell's Equations with Transparent Boundary Conditions. Found. Comput. Math. 21(1): 125-241 (2021) - [j56]Marcus J. Grote
Stabilized leapfrog based local time-stepping method for the wave equation. Math. Comput. 90(332): 2603-2643 (2021) - [j55]Sarah Eberle
A Stable Boundary Integral Formulation of an Acoustic Wave Transmission Problem with Mixed Boundary Conditions. SIAM J. Math. Anal. 53(2): 1492-1508 (2021) - [i6]Maximilian Bernkopf, Stefan A. Sauter, Céline Torres, Alexander Veit:
Solvability of Discrete Helmholtz Equations. CoRR abs/2105.02273 (2021) - [i5]Carsten Carstensen, Stefan A. Sauter:
Critical Functions and Inf-Sup Stability of Crouzeix-Raviart Elements. CoRR abs/2105.14981 (2021) - [i4]Carsten Carstensen, Stefan A. Sauter:
Crouzeix-Raviart triangular elements are inf-sup stable. CoRR abs/2105.14987 (2021) - 2020
- [j54]Ivan G. Graham, Stefan A. Sauter:
Stability and finite element error analysis for the Helmholtz equation with variable coefficients. Math. Comput. 89(321): 105-138 (2020) - [j53]Jens Markus Melenk, Stefan A. Sauter, Céline Torres
Wavenumber Explicit Analysis for Galerkin Discretizations of Lossy Helmholtz Problems. SIAM J. Numer. Anal. 58(4): 2119-2143 (2020) - [i3]Marcus J. Grote, Simon Michel, Stefan A. Sauter:
Stabilized leapfrog based local time-stepping method for the wave equation. CoRR abs/2005.13350 (2020) - [i2]Stefan A. Sauter, Céline Torres:
The Heterogeneous Helmholtz Problem with Spherical Symmetry: Green's Operator and Stability Estimates. CoRR abs/2006.15866 (2020)
2010 – 2019
- 2019
- [j52]Rebekka Gasser, Joscha Gedicke
Benchmark Computation of Eigenvalues with Large Defect for Non-Self-adjoint Elliptic Differential Operators. SIAM J. Sci. Comput. 41(6): A3938-A3953 (2019) - [i1]Sarah Eberle
A Stable Boundary Integral Formulation of an Acoustic Wave Transmission Problem with Mixed Boundary Conditions. CoRR abs/1907.01738 (2019) - 2018
- [j51]Urs Vögeli, Khadijeh Nedaiasl, Stefan A. Sauter
A fully discrete Galerkin method for Abel-type integral equations. Adv. Comput. Math. 44(5): 1601-1626 (2018) - [j50]Marcus J. Grote
Convergence Analysis of Energy Conserving Explicit Local Time-Stepping Methods for the Wave Equation. SIAM J. Numer. Anal. 56(2): 994-1021 (2018) - 2017
- [j49]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): 515 (2017) - [j48]Stefan A. Sauter, Martin Schanz
Convolution quadrature for the wave equation with impedance boundary conditions. J. Comput. Phys. 334: 442-459 (2017) - 2016
- [j47]Silvia Falletta
The panel-clustering method for the wave equation in two spatial dimensions. J. Comput. Phys. 305: 217-243 (2016) - [j46]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): 1-15 (2016) - [j45]Philippe G. Ciarlet
Intrinsic finite element methods for the computation of fluxes for Poisson's equation. Numerische Mathematik 132(3): 433-462 (2016) - [j44]Stefan A. Sauter, Alexander Veit:
Adaptive time discretization for retarded potentials. Numerische Mathematik 132(3): 569-595 (2016) - [j43]María López-Fernández
Generalized convolution quadrature based on Runge-Kutta methods. Numerische Mathematik 133(4): 743-779 (2016) - 2015
- [j42]María López-Fernández, Stefan A. Sauter:
Fast and stable contour integration for high order divided differences via elliptic functions. Math. Comput. 84(293): 1291-1315 (2015) - [j41]Tom H. Koornwinder
The intersection of bivariate orthogonal polynomials on triangle patches. Math. Comput. 84(294): 1795-1812 (2015) - [j40]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): 2414-2440 (2015) - 2013
- [j39]Willy Dörfler, Stefan A. Sauter:
A Posteriori Error Estimation for Highly Indefinite Helmholtz Problems. Comput. Methods Appl. Math. 13(3): 333-347 (2013) - [j38]Randolph E. Bank, Asieh Parsania, Stefan A. Sauter:
Saturation estimates for hp-finite element methods. Comput. Vis. Sci. 16(5): 195-217 (2013) - [j37]Jens Markus Melenk, Asieh Parsania, Stefan A. Sauter:
General DG-Methods for Highly Indefinite Helmholtz Problems. J. Sci. Comput. 57(3): 536-581 (2013) - [j36]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): 145-176 (2013) - [j35]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): 643-670 (2013) - 2012
- [j34]Lars Grasedyck, Isabelle Greff, Stefan A. Sauter:
The AL Basis for the Solution of Elliptic Problems in Heterogeneous Media. Multiscale Model. Simul. 10(1): 245-258 (2012) - [j33]Daniel Peterseim
Finite Elements for Elliptic Problems with Highly Varying, Nonperiodic Diffusion Matrix. Multiscale Model. Simul. 10(3): 665-695 (2012) - [j32]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): 133-151 (2012) - 2011
- [j31]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): 342-362 (2011) - [j30]Jens Markus Melenk, Stefan A. Sauter:
Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation. SIAM J. Numer. Anal. 49(3): 1210-1243 (2011) - [j29]Tobias Preußer, Martin Rumpf
3D Composite Finite Elements for Elliptic Boundary Value Problems with Discontinuous Coefficients. SIAM J. Sci. Comput. 33(5): 2115-2143 (2011) - 2010
- [j28]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): 1871-1914 (2010) - [j27]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): 95-108 (2010)
2000 – 2009
- 2008
- [j26]Daniel Peterseim
The Composite Mini Element - Coarse Mesh Computation of Stokes Flows on Complicated Domains. SIAM J. Numer. Anal. 46(6): 3181-3206 (2008) - [j25]Lehel Banjai, Stefan A. Sauter:
Rapid Solution of the Wave Equation in Unbounded Domains. SIAM J. Numer. Anal. 47(1): 227-249 (2008) - [j24]Ivo Babuska, Stefan A. Sauter:
Efficient Solution of Anisotropic Lattice Equations by the Recovery Method. SIAM J. Sci. Comput. 30(5): 2386-2404 (2008) - 2007
- [j23]Wolfgang Hackbusch, Boris N. Khoromskij, Stefan A. Sauter:
Adaptive Galerkin boundary element methods with panel clustering. Numerische Mathematik 105(4): 603-631 (2007) - [j22]Lehel Banjai, Stefan A. Sauter:
A Refined Galerkin Error and Stability Analysis for Highly Indefinite Variational Problems. SIAM J. Numer. Anal. 45(1): 37-53 (2007) - [j21]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): 928-945 (2007) - [j20]Ivan G. Graham
Optimal Panel-Clustering in the Presence of Anisotropic Mesh Refinement. SIAM J. Numer. Anal. 46(1): 517-543 (2007) - 2006
- [j19]Stefan A. Sauter, R. Warnke:
Composite Finite Elements for Elliptic Boundary Value Problems with Discontinuous Coefficients. Computing 77(1): 29-55 (2006) - [j18]Wolfgang Hackbusch, M. Löhndorf, Stefan A. Sauter:
Coarsening of Boundary-element Spaces. Computing 77(3): 253-273 (2006) - [j17]Stefan A. Sauter:
A Refined Finite Element Convergence Theory for Highly Indefinite Helmholtz Problems. Computing 78(2): 101-115 (2006) - [j16]Markus Rech, Stefan A. Sauter, Anton Smolianski:
Two-scale composite finite element method for Dirichlet problems on complicated domains. Numerische Mathematik 102(4): 681-708 (2006) - [j15]Annalisa Buffa
On the Acoustic Single Layer Potential: Stabilization and Fourier Analysis. SIAM J. Sci. Comput. 28(5): 1974-1999 (2006) - 2005
- [j14]Steffen Börm, Stefan A. Sauter:
BEM with linear complexity for the classical boundary integral operators. Math. Comput. 74(251): 1139-1177 (2005) - 2004
- [j13]Wolfgang Dahmen, B. Faermann, Ivan G. Graham
Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method. Math. Comput. 73(247): 1107-1138 (2004) - [j12]Ivo Babuska, Stefan A. Sauter:
Algebraic algorithms for the analysis of mechanical trusses. Math. Comput. 73(248): 1601-1622 (2004) - [j11]Carsten Carstensen, Stefan A. Sauter:
A posteriori error analysis for elliptic pdes on domains with complicated structures. Numerische Mathematik 96(4): 691-721 (2004) - [j10]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): 1435-1451 (2004) - 2003
- [j9]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): 205-233 (2003) - 2001
- [j8]Stefan A. Sauter, Christian Lage:
Transformation of hypersingular integrals and black-box cubature. Math. Comput. 70(233): 223-250 (2001) - 2000
- [j7]Stefan A. Sauter:
Variable Order Panel Clustering. Computing 64(3): 223-261 (2000) - [j6]Ivan G. Graham, Wolfgang Hackbusch, Stefan A. Sauter:
Discrete boundary element methods on general meshes in 3D. Numerische Mathematik 86(1): 103-137 (2000) - [j5]Ivan G. Graham, Wolfgang Hackbusch, Stefan A. Sauter:
Hybrid Galerkin boundary elements: theory and implementation. Numerische Mathematik 86(1): 139-172 (2000) - [j4]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): 451-484 (2000)
1990 – 1999
- 1995
- [j3]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): 17-28 (1995) - 1994
- [j2]Wolfgang Hackbusch, Stefan A. Sauter:
On numerical cubatures of nearly singular surface integrals arising in BEM collocation. Computing 52(2): 139-159 (1994) - 1992
- [j1]Stefan A. Sauter, Gabriel Wittum:
A multigrid method for the computation of eigenmodes of closed water basins. IMPACT Comput. Sci. Eng. 4(2): 124-152 (1992)
Coauthor Index
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