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Author ID: sauter.stefan-a Recent zbMATH articles by "Sauter, Stefan"
Published as: Sauter, Stefan; Sauter, Stefan A.; Sauter, S. A.; Sauter, S.; Sauter, Stéfan A.
Homepage: https://www.math.uzh.ch/people?key1=105
External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr
all top 5

Serials

13 Numerische Mathematik
12 SIAM Journal on Numerical Analysis
11 Mathematics of Computation
7 IMA Journal of Numerical Analysis
7 Computing and Visualization in Science
6 Computing
4 Computer Methods in Applied Mechanics and Engineering
4 SIAM Journal on Scientific Computing
4 Computational Methods in Applied Mathematics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Oberwolfach Reports
3 PAMM. Proceedings in Applied Mathematics and Mechanics
2 Computers & Mathematics with Applications
2 Journal of Computational Physics
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Journal of Computational and Applied Mathematics
2 Numerical Linear Algebra with Applications
2 Vietnam Journal of Mathematics
2 Multiscale Modeling & Simulation
2 Analysis and Applications (Singapore)
1 Journal of Mathematical Analysis and Applications
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Archivum Mathematicum
1 Calcolo
1 Applied Numerical Mathematics
1 Asymptotic Analysis
1 Journal of Scientific Computing
1 IMPACT of Computing in Science and Engineering
1 Applications of Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Journal of Elasticity
1 SIAM Journal on Mathematical Analysis
1 SIAM Review
1 East-West Journal of Numerical Mathematics
1 Advances in Computational Mathematics
1 Engineering Analysis with Boundary Elements
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Matematicheskoe Modelirovanie
1 Foundations of Computational Mathematics
1 Journal of Numerical Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Springer Series in Computational Mathematics
1 EMS Tracts in Mathematics

Publications by Year

Citations contained in zbMATH Open

112 Publications have been cited 2,133 times in 1,320 Documents Cited by Year
Boundary element methods. Zbl 1215.65183
Sauter, Stefan A.; Schwab, Christoph
236
2011
A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution. Zbl 0863.73055
Babuška, Ivo; Ihlenburg, Frank; Paik, Ellen T.; Sauter, Stefan A.
175
1995
Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers? Zbl 0894.65050
Babuška, Ivo M.; Sauter, Stefan A.
158
1997
Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers? Zbl 0956.65095
Babuska, Ivo M.; Sauter, Stefan A.
123
2000
Wavenumber explicit convergence analysis for Galerkin discretizations of the Helmholtz equation. Zbl 1229.35038
Melenk, J. M.; Sauter, S.
120
2011
Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions. Zbl 1205.65301
Melenk, J. M.; Sauter, S.
96
2010
On \({\mathcal H}^2\)-matrices. Zbl 0963.65043
Hackbusch, W.; Khoromskij, B.; Sauter, S. A.
65
2000
Composite finite elements for the approximation of PDEs on domains with complicated micro-structures. Zbl 0874.65086
Hackbusch, W.; Sauter, S. A.
53
1997
Rapid solution of the wave equation in unbounded domains. Zbl 1191.35020
Banjai, L.; Sauter, S.
52
2009
General DG-methods for highly indefinite Helmholtz problems. Zbl 1292.65128
Melenk, J. M.; Parsania, A.; Sauter, S.
51
2013
Finite elements on degenerate meshes: inverse-type inequalities and applications. Zbl 1076.65098
Graham, I. G.; Hackbusch, W.; Sauter, S. A.
40
2005
Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method. Zbl 1050.65110
Dahmen, W.; Faermann, B.; Graham, I. G.; Hackbusch, W.; Sauter, S. A.
37
2004
Efficient automatic quadrature in 3-D Galerkin BEM. Zbl 0943.65139
Erichsen, Stefan; Sauter, Stefan A.
36
1998
Variable order panel clustering. Zbl 0959.65135
Sauter, S. A.
30
2000
Composite finite elements for problems containing small geometric details. II: Implementation and numerical results. Zbl 1001.65127
Hackbusch, W.; Sauter, S. A.
30
1997
Sparse convolution quadrature for time domain boundary integral formulations of the wave equation. Zbl 1178.65121
Hackbusch, W.; Kress, W.; Sauter, S. A.
30
2009
Quadrature for \(hp\)-Galerkin BEM in \(\mathbb{R}^3\). Zbl 0901.65069
Sauter, Stefan A.; Schwab, Christoph
27
1997
Composite finite elements for elliptic boundary value problems with discontinuous coefficients. Zbl 1284.65173
Sauter, S. A.; Warnke, R.
26
2006
A refined Galerkin error and stability analysis for highly indefinite variational problems. Zbl 1138.65101
Banjai, L.; Sauter, S.
24
2007
Boundary elements methods. Analysis, numerics and implementation of fast algorithms. (Randelementmethoden. Analyse, Numerik und Implementierung schneller Algorithmen.) Zbl 1059.65108
Sauter, Stefan; Schwab, Christoph
24
2004
On numerical cubatures of nearly singular surface integrals arising in BEM collocation. Zbl 0799.65028
Hackbusch, Wolfgang; Sauter, Stefan A.
23
1994
Functional a posteriori estimates for the reaction-diffusion problem. Zbl 1100.65093
Repin, Sergey; Sauter, Stefan
23
2006
A posteriori error estimation for the Dirichlet problem with account of the error in the approximation of boundary conditions. Zbl 1128.35319
Repin, S.; Sauter, S.; Smolianski, A.
23
2003
On the efficient use of the Galerkin-method to solve Fredholm integral equations. Zbl 0791.65101
Hackbusch, Wolfgang; Sauter, Stefan A.
22
1993
Stability and finite element error analysis for the Helmholtz equation with variable coefficients. Zbl 1427.35016
Graham, I. G.; Sauter, S. A.
22
2020
The AL basis for the solution of elliptic problems in heterogeneous media. Zbl 1250.65140
Grasedyck, L.; Greff, I.; Sauter, S.
20
2012
Use of tensor formats in elliptic eigenvalue problems. Zbl 1274.35252
Hackbusch, Wolfgang; Khoromskij, Boris N.; Sauter, Stefan; Tyrtyshnikov, Eugene E.
19
2012
A Galerkin method for retarded boundary integral equations with smooth and compactly supported temporal basis functions. Zbl 1262.65125
Sauter, Stefan A.; Veit, Alexander
17
2013
A refined finite element convergence theory for highly indefinite Helmholtz problems. Zbl 1112.65103
Sauter, S. A.
17
2006
Generalized convolution quadrature with variable time stepping. Zbl 1283.65091
Lopez-Fernandez, Maria; Sauter, Stefan
16
2013
Extension operators and approximation on domains containing small geometric details. Zbl 0927.65128
Sauter, S. A.; Warnke, R.
16
1999
Sparse convolution quadrature for time domain boundary integral formulations of the wave equation by cutoff and panel-clustering. Zbl 1298.65185
Hackbusch, Wolfgang; Kress, Wendy; Sauter, Stefan A.
15
2007
On the acoustic single layer potential: stabilization and Fourier analysis. Zbl 1274.65336
Buffa, A.; Sauter, S.
15
2006
Two-sided a posteriori error estimates for mixed formulations of elliptic problems. Zbl 1185.35048
Repin, Sergey; Sauter, Stefan; Smolianski, Anton
14
2007
Two-scale composite finite element method for Dirichlet problems on complicated domains. Zbl 1108.65118
Rech, M.; Sauter, S.; Smolianski, A.
14
2006
Transformation of hypersingular integrals and black-box cubature. Zbl 0958.65123
Sauter, S. A.; Lage, C.
14
2001
\(hp\)-finite elements for elliptic eigenvalue problems: Error estimates which are explicit with respect to \(\lambda, h\), and \(p\). Zbl 1211.65149
Sauter, S.
14
2010
Stability estimate for the Helmholtz equation with rapidly jumping coefficients. Zbl 1401.65139
Sauter, Stefan; Torres, Céline
13
2018
Numerical treatment of retarded boundary integral equations by sparse panel clustering. Zbl 1140.65071
Kress, Wendy; Sauter, Stefan
13
2008
Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge-Kutta convolution quadrature. Zbl 1279.78019
Ballani, J.; Banjai, L.; Sauter, S.; Veit, A.
13
2013
On the efficient application of the Galerkin method to the solution of Fredholm integral equations. (Über die effiziente Verwendung des Galerkinverfahrens zur Lösung Fredholmscher Integralgleichungen.) Zbl 0850.65366
Sauter, Stefan
12
1992
The composite mini element-coarse mesh computation of Stokes flows on complicated domains. Zbl 1235.76070
Peterseim, Daniel; Sauter, Stefan A.
12
2008
Retarded boundary integral equations on the sphere: exact and numerical solution. Zbl 1292.65103
Sauter, S.; Veit, A.
11
2014
A posteriori error analysis for elliptic PDEs on domains with complicated structures. Zbl 1049.65120
Carstensen, Carsten; Sauter, Stefan A.
11
2004
A posteriori error estimation for the Poisson equation with mixed Dirichlet/Neumann boundary conditions. Zbl 1038.65114
Repin, Sergey; Sauter, Stefan; Smolianski, Anton
10
2004
A posteriori error estimation of \(hp\)-dG finite element methods for highly indefinite Helmholtz problems. Zbl 1325.65147
Sauter, S.; Zech, J.
10
2015
Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation. Zbl 1448.65160
Grote, Marcus J.; Mehlin, Michaela; Sauter, Stefan A.
9
2018
3D composite finite elements for elliptic boundary value problems with discontinuous coefficients. Zbl 1237.65129
Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole
9
2011
A posteriori error estimation for highly indefinite Helmholtz problems. Zbl 1287.35002
Dörfler, Willy; Sauter, Stefan
9
2013
A family of Crouzeix-Raviart finite elements in 3D. Zbl 1396.33020
Ciarlet, Patrick jun.; Dunkl, Charles F.; Sauter, Stefan A.
9
2018
Stabilized leapfrog based local time-stepping method for the wave equation. Zbl 1493.65151
Grote, Marcus J.; Michel, Simon; Sauter, Stefan A.
8
2021
On the justification of plate models. Zbl 1237.74127
Braess, Dietrich; Sauter, Stefan; Schwab, Christoph
8
2011
Finite element methods for the Stokes problem on complicated domains. Zbl 1230.76031
Peterseim, Daniel; Sauter, Stefan A.
8
2011
A fully discrete Galerkin method for Abel-type integral equations. Zbl 1402.65185
Vögeli, Urs; Nedaiasl, Khadijeh; Sauter, Stefan A.
8
2018
Finite elements for elliptic problems with highly varying, nonperiodic diffusion matrix. Zbl 1264.65195
Peterseim, D.; Sauter, S.
8
2012
BEM with linear complexity for the classical boundary integral operators. Zbl 1069.65131
Börm, Steffen; Sauter, Stefan A.
8
2005
Intrinsic finite element methods for the computation of fluxes for Poisson’s equation. Zbl 1335.65091
Ciarlet, P. G.; Ciarlet, P. jun.; Sauter, S. A.; Simian, C.
8
2016
Saturation estimates for \(hp\)-finite element methods. Zbl 1380.65359
Bank, Randolph E.; Parsania, Asieh; Sauter, Stefan
7
2013
Generalized convolution quadrature based on Runge-Kutta methods. Zbl 1348.65181
Lopez-Fernandez, Maria; Sauter, Stefan
7
2016
Generalized convolution quadrature with variable time stepping. II: Algorithm and numerical results. Zbl 1325.65184
Lopez-Fernandez, Maria; Sauter, Stefan
7
2015
Cubature techniques for 3-D Galerkin BEM. Zbl 0881.65107
Sauter, Stefan A.
7
1996
On the effect of numerical integration in the Galerkin boundary element method. Zbl 0878.65104
Sauter, S. A.; Krapp, A.
7
1996
Combined a posteriori modeling-discretization error estimate for elliptic problems with complicated interfaces. Zbl 1281.65144
Repin, Sergey I.; Samrowski, Tatiana S.; Sauter, Stéfan A.
7
2012
Hybrid Galerkin boundary elements: Theory and implementation. Zbl 0966.65091
Graham, I. G.; Hackbusch, W.; Sauter, S. A.
7
2000
Adaptive composite finite elements for the solution of PDEs containing non-uniformely distributed micro-scales. Zbl 0981.65513
Hackbusch, W.; Sauter, S. A.
7
1996
Fast quadrature techniques for retarded potentials based on TT/QTT tensor approximation. Zbl 1283.65040
Khoromskij, Boris; Sauter, Stefan; Veit, Alexander
7
2011
A posteriori estimation of dimension reduction errors for elliptic problems on thin domains. Zbl 1073.35072
Repin, Sergey; Sauter, Stefan; Smolianski, Anton
7
2004
Bridging the gap between geometric and algebraic multi-grid methods. Zbl 1030.65126
Feuchter, D.; Heppner, I.; Sauter, S. A.; Wittum, G.
7
2003
Fast and stable contour integration for high order divided differences via elliptic functions. Zbl 1311.65028
Lopez-Fernandez, M.; Sauter, S.
6
2015
Wavenumber-explicit hp-FEM analysis for Maxwell’s equations with transparent boundary conditions. Zbl 1460.35085
Melenk, Jens M.; Sauter, Stefan A.
6
2021
The panel-clustering method for the wave equation in two spatial dimensions. Zbl 1349.65414
Falletta, Silvia; Sauter, Stefan A.
6
2016
Composite finite elements for 3D image based computing. Zbl 1512.65036
Liehr, Florian; Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole
6
2008
Adaptive time discretization for retarded potentials. Zbl 1336.65159
Sauter, S.; Veit, A.
6
2016
Convolution quadrature for the wave equation with impedance boundary conditions. Zbl 1375.35395
Sauter, S. A.; Schanz, M.
5
2017
Efficient numerical solution of Neumann problems on complicated domains. Zbl 1150.65029
Nicaise, S.; Sauter, Stefan A.
5
2006
Discrete boundary element methods on general meshes in 3D. Zbl 0966.65090
Graham, I. G.; Hackbusch, W.; Sauter, S. A.
5
2000
A new finite element approach for problems containing small geometric details. Zbl 0912.65088
Hackbusch, W.; Sauter, S. A.
5
1998
Accuracy of mathematical models. Dimension reduction, homogenization, and simplification. Zbl 1481.35011
Repin, Sergey I.; Sauter, Stefan A.
5
2020
On the efficient computation of singular and nearly singular surface integrals arising in 3D-Galerkin BEM. Zbl 0886.65141
Sauter, S. A.; Lage, C.
4
1996
Lagrange multipliers in intrinsic elasticity. Zbl 1214.49030
Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Iosifescu, Oana; Sauter, Stefan; Zou, Jun
4
2011
A panel clustering method for 3-D elastostatics using spherical harmonics. Zbl 1059.74555
Hayami, K.; Sauter, S. A.
4
2000
Algebraic algorithms for the analysis of mechanical trusses. Zbl 1079.74045
Babuška, I.; Sauter, S. A.
4
2004
Critical functions and inf-sup stability of Crouzeix-Raviart elements. Zbl 07469167
Carstensen, C.; Sauter, S.
4
2022
Computable estimates of the modeling error related to Kirchhoff-Love plate model. Zbl 1200.35299
Repin, Sergey; Sauter, Stefan
3
2010
Panel clustering for 3-D elastostatics using spherical harmonics. Zbl 0924.73312
Hayami, Ken; Sauter, Stefan A.
3
1998
Cost estimation of the panel clustering method applied to 3-D elastostatics. Zbl 0929.74119
Hayami, Ken; Sauter, Stefan A.
3
1998
Benchmark computation of eigenvalues with large defect for non-self-adjoint elliptic differential operators. Zbl 1435.65190
Gasser, Rebekka; Gedicke, Joscha; Sauter, Stefan
2
2019
The ILU method for finite-element discretizations. Zbl 0738.65084
Sauter, Stefan
2
1991
A posteriori error majorants of the modeling errors for elliptic homogenization problems. (Majorations a posteriori de l’erreur de modélisation de problèmes elliptiques homogénéisés.) Zbl 1281.65145
Repin, Sergey I.; Samrowski, Tatiana S.; Sauter, Stefan A.
2
2013
May the singular integrals in BEM be replaced by zero? Zbl 1071.65159
Börm, S.; Krzebek, N.; Sauter, S. A.
2
2005
Crouzeix-Raviart triangular elements are inf-sup stable. Zbl 1496.65211
Carstensen, Carsten; Sauter, Stefan A.
2
2022
On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D. Zbl 1508.65160
Sauter, Stefan; Torres, Céline
2
2023
Fast cluster techniques for BEM. Zbl 1035.65142
Krzebek, Nico; Sauter, Stefan
2
2003
Coarsening of boundary-element spaces. Zbl 1092.65108
Hackbusch, W.; Löhndorf, M.; Sauter, S. A.
2
2006
Application of the panel clustering method to the three-dimensional elastostatic problem. Zbl 0916.73071
Hayami, K.; Sauter, S. A.
2
1997
Hybrid Galerkin boundary elements on degenerate meshes. Zbl 0937.65127
Graham, I. G.; Hackbusch, W.; Sauter, S. A.
2
2000
The heterogeneous Helmholtz problem with spherical symmetry: Green’s operator and stability estimates. Zbl 1517.35223
Sauter, Stefan; Torres, Céline
2
2021
Numerical solution of a non-linear Volterra integral equation. Zbl 1333.65145
Maleknejad, K.; Torabi, P.; Sauter, S.
2
2016
A posteriori modelling-discretization error estimate for elliptic problems with \(L^\infty\)-coefficients. Zbl 1380.65391
Weymuth, Monika; Sauter, Stefan; Repin, Sergey
1
2017
The intersection of bivariate orthogonal polynomials on triangle patches. Zbl 1309.65145
Koornwinder, Tom H.; Sauter, Stefan A.
1
2015
On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D. Zbl 1508.65160
Sauter, Stefan; Torres, Céline
2
2023
Critical functions and inf-sup stability of Crouzeix-Raviart elements. Zbl 07469167
Carstensen, C.; Sauter, S.
4
2022
Crouzeix-Raviart triangular elements are inf-sup stable. Zbl 1496.65211
Carstensen, Carsten; Sauter, Stefan A.
2
2022
Numerical approximation of Poisson problems in long domains. Zbl 1502.65191
Chipot, Michel; Hackbusch, Wolfgang; Sauter, Stefan; Veit, Alexander
1
2022
Stabilized leapfrog based local time-stepping method for the wave equation. Zbl 1493.65151
Grote, Marcus J.; Michel, Simon; Sauter, Stefan A.
8
2021
Wavenumber-explicit hp-FEM analysis for Maxwell’s equations with transparent boundary conditions. Zbl 1460.35085
Melenk, Jens M.; Sauter, Stefan A.
6
2021
The heterogeneous Helmholtz problem with spherical symmetry: Green’s operator and stability estimates. Zbl 1517.35223
Sauter, Stefan; Torres, Céline
2
2021
A stable boundary integral formulation of an acoustic wave transmission problem with mixed boundary conditions. Zbl 1467.65115
Eberle, S.; Florian, F.; Hiptmair, R.; Sauter, S. A.
1
2021
Stability and finite element error analysis for the Helmholtz equation with variable coefficients. Zbl 1427.35016
Graham, I. G.; Sauter, S. A.
22
2020
Accuracy of mathematical models. Dimension reduction, homogenization, and simplification. Zbl 1481.35011
Repin, Sergey I.; Sauter, Stefan A.
5
2020
Wavenumber explicit analysis for Galerkin discretizations of lossy Helmholtz problems. Zbl 1445.35130
Melenk, Jens M.; Sauter, Stefan A.; Torres, Céline
1
2020
Benchmark computation of eigenvalues with large defect for non-self-adjoint elliptic differential operators. Zbl 1435.65190
Gasser, Rebekka; Gedicke, Joscha; Sauter, Stefan
2
2019
Stability estimate for the Helmholtz equation with rapidly jumping coefficients. Zbl 1401.65139
Sauter, Stefan; Torres, Céline
13
2018
Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation. Zbl 1448.65160
Grote, Marcus J.; Mehlin, Michaela; Sauter, Stefan A.
9
2018
A family of Crouzeix-Raviart finite elements in 3D. Zbl 1396.33020
Ciarlet, Patrick jun.; Dunkl, Charles F.; Sauter, Stefan A.
9
2018
A fully discrete Galerkin method for Abel-type integral equations. Zbl 1402.65185
Vögeli, Urs; Nedaiasl, Khadijeh; Sauter, Stefan A.
8
2018
Convolution quadrature for the wave equation with impedance boundary conditions. Zbl 1375.35395
Sauter, S. A.; Schanz, M.
5
2017
A posteriori modelling-discretization error estimate for elliptic problems with \(L^\infty\)-coefficients. Zbl 1380.65391
Weymuth, Monika; Sauter, Stefan; Repin, Sergey
1
2017
Intrinsic finite element methods for the computation of fluxes for Poisson’s equation. Zbl 1335.65091
Ciarlet, P. G.; Ciarlet, P. jun.; Sauter, S. A.; Simian, C.
8
2016
Generalized convolution quadrature based on Runge-Kutta methods. Zbl 1348.65181
Lopez-Fernandez, Maria; Sauter, Stefan
7
2016
The panel-clustering method for the wave equation in two spatial dimensions. Zbl 1349.65414
Falletta, Silvia; Sauter, Stefan A.
6
2016
Adaptive time discretization for retarded potentials. Zbl 1336.65159
Sauter, S.; Veit, A.
6
2016
Numerical solution of a non-linear Volterra integral equation. Zbl 1333.65145
Maleknejad, K.; Torabi, P.; Sauter, S.
2
2016
Estimates of the modeling error generated by homogenization of an elliptic boundary value problem. Zbl 1337.35033
Repin, Sergey; Samrowski, Tatiana; Sauter, Stefan
1
2016
A posteriori error estimation of \(hp\)-dG finite element methods for highly indefinite Helmholtz problems. Zbl 1325.65147
Sauter, S.; Zech, J.
10
2015
Generalized convolution quadrature with variable time stepping. II: Algorithm and numerical results. Zbl 1325.65184
Lopez-Fernandez, Maria; Sauter, Stefan
7
2015
Fast and stable contour integration for high order divided differences via elliptic functions. Zbl 1311.65028
Lopez-Fernandez, M.; Sauter, S.
6
2015
The intersection of bivariate orthogonal polynomials on triangle patches. Zbl 1309.65145
Koornwinder, Tom H.; Sauter, Stefan A.
1
2015
Retarded boundary integral equations on the sphere: exact and numerical solution. Zbl 1292.65103
Sauter, S.; Veit, A.
11
2014
Functional estimates for derivatives of the modified Bessel function \(K_0\) and related exponential functions. Zbl 1303.33004
Falletta, Silvia; Sauter, Stefan A.
1
2014
General DG-methods for highly indefinite Helmholtz problems. Zbl 1292.65128
Melenk, J. M.; Parsania, A.; Sauter, S.
51
2013
A Galerkin method for retarded boundary integral equations with smooth and compactly supported temporal basis functions. Zbl 1262.65125
Sauter, Stefan A.; Veit, Alexander
17
2013
Generalized convolution quadrature with variable time stepping. Zbl 1283.65091
Lopez-Fernandez, Maria; Sauter, Stefan
16
2013
Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge-Kutta convolution quadrature. Zbl 1279.78019
Ballani, J.; Banjai, L.; Sauter, S.; Veit, A.
13
2013
A posteriori error estimation for highly indefinite Helmholtz problems. Zbl 1287.35002
Dörfler, Willy; Sauter, Stefan
9
2013
Saturation estimates for \(hp\)-finite element methods. Zbl 1380.65359
Bank, Randolph E.; Parsania, Asieh; Sauter, Stefan
7
2013
A posteriori error majorants of the modeling errors for elliptic homogenization problems. (Majorations a posteriori de l’erreur de modélisation de problèmes elliptiques homogénéisés.) Zbl 1281.65145
Repin, Sergey I.; Samrowski, Tatiana S.; Sauter, Stefan A.
2
2013
The AL basis for the solution of elliptic problems in heterogeneous media. Zbl 1250.65140
Grasedyck, L.; Greff, I.; Sauter, S.
20
2012
Use of tensor formats in elliptic eigenvalue problems. Zbl 1274.35252
Hackbusch, Wolfgang; Khoromskij, Boris N.; Sauter, Stefan; Tyrtyshnikov, Eugene E.
19
2012
Finite elements for elliptic problems with highly varying, nonperiodic diffusion matrix. Zbl 1264.65195
Peterseim, D.; Sauter, S.
8
2012
Combined a posteriori modeling-discretization error estimate for elliptic problems with complicated interfaces. Zbl 1281.65144
Repin, Sergey I.; Samrowski, Tatiana S.; Sauter, Stéfan A.
7
2012
Boundary element methods. Zbl 1215.65183
Sauter, Stefan A.; Schwab, Christoph
236
2011
Wavenumber explicit convergence analysis for Galerkin discretizations of the Helmholtz equation. Zbl 1229.35038
Melenk, J. M.; Sauter, S.
120
2011
3D composite finite elements for elliptic boundary value problems with discontinuous coefficients. Zbl 1237.65129
Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole
9
2011
On the justification of plate models. Zbl 1237.74127
Braess, Dietrich; Sauter, Stefan; Schwab, Christoph
8
2011
Finite element methods for the Stokes problem on complicated domains. Zbl 1230.76031
Peterseim, Daniel; Sauter, Stefan A.
8
2011
Fast quadrature techniques for retarded potentials based on TT/QTT tensor approximation. Zbl 1283.65040
Khoromskij, Boris; Sauter, Stefan; Veit, Alexander
7
2011
Lagrange multipliers in intrinsic elasticity. Zbl 1214.49030
Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Iosifescu, Oana; Sauter, Stefan; Zou, Jun
4
2011
Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions. Zbl 1205.65301
Melenk, J. M.; Sauter, S.
96
2010
\(hp\)-finite elements for elliptic eigenvalue problems: Error estimates which are explicit with respect to \(\lambda, h\), and \(p\). Zbl 1211.65149
Sauter, S.
14
2010
Computable estimates of the modeling error related to Kirchhoff-Love plate model. Zbl 1200.35299
Repin, Sergey; Sauter, Stefan
3
2010
A Lagrangian approach to intrinsic linearized elasticity. Zbl 1266.74006
Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Iosifescu, Oana; Sauter, Stefan; Zou, Jun
1
2010
Estimates of the modeling error for the Kirchhoff-Love plate model. Zbl 1426.74203
Repin, Sergey; Sauter, Stefan A.
1
2010
Rapid solution of the wave equation in unbounded domains. Zbl 1191.35020
Banjai, L.; Sauter, S.
52
2009
Sparse convolution quadrature for time domain boundary integral formulations of the wave equation. Zbl 1178.65121
Hackbusch, W.; Kress, W.; Sauter, S. A.
30
2009
Numerical treatment of retarded boundary integral equations by sparse panel clustering. Zbl 1140.65071
Kress, Wendy; Sauter, Stefan
13
2008
The composite mini element-coarse mesh computation of Stokes flows on complicated domains. Zbl 1235.76070
Peterseim, Daniel; Sauter, Stefan A.
12
2008
Composite finite elements for 3D image based computing. Zbl 1512.65036
Liehr, Florian; Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole
6
2008
Optimal panel-clustering in the presence of anisotropic mesh refinement. Zbl 1160.65062
Graham, I. G.; Grasedyck, L.; Hackbusch, W.; Sauter, S. A.
1
2008
A refined Galerkin error and stability analysis for highly indefinite variational problems. Zbl 1138.65101
Banjai, L.; Sauter, S.
24
2007
Sparse convolution quadrature for time domain boundary integral formulations of the wave equation by cutoff and panel-clustering. Zbl 1298.65185
Hackbusch, Wolfgang; Kress, Wendy; Sauter, Stefan A.
15
2007
Two-sided a posteriori error estimates for mixed formulations of elliptic problems. Zbl 1185.35048
Repin, Sergey; Sauter, Stefan; Smolianski, Anton
14
2007
Composite finite elements for elliptic boundary value problems with discontinuous coefficients. Zbl 1284.65173
Sauter, S. A.; Warnke, R.
26
2006
Functional a posteriori estimates for the reaction-diffusion problem. Zbl 1100.65093
Repin, Sergey; Sauter, Stefan
23
2006
A refined finite element convergence theory for highly indefinite Helmholtz problems. Zbl 1112.65103
Sauter, S. A.
17
2006
On the acoustic single layer potential: stabilization and Fourier analysis. Zbl 1274.65336
Buffa, A.; Sauter, S.
15
2006
Two-scale composite finite element method for Dirichlet problems on complicated domains. Zbl 1108.65118
Rech, M.; Sauter, S.; Smolianski, A.
14
2006
Efficient numerical solution of Neumann problems on complicated domains. Zbl 1150.65029
Nicaise, S.; Sauter, Stefan A.
5
2006
Coarsening of boundary-element spaces. Zbl 1092.65108
Hackbusch, W.; Löhndorf, M.; Sauter, S. A.
2
2006
Finite elements on degenerate meshes: inverse-type inequalities and applications. Zbl 1076.65098
Graham, I. G.; Hackbusch, W.; Sauter, S. A.
40
2005
BEM with linear complexity for the classical boundary integral operators. Zbl 1069.65131
Börm, Steffen; Sauter, Stefan A.
8
2005
May the singular integrals in BEM be replaced by zero? Zbl 1071.65159
Börm, S.; Krzebek, N.; Sauter, S. A.
2
2005
Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method. Zbl 1050.65110
Dahmen, W.; Faermann, B.; Graham, I. G.; Hackbusch, W.; Sauter, S. A.
37
2004
Boundary elements methods. Analysis, numerics and implementation of fast algorithms. (Randelementmethoden. Analyse, Numerik und Implementierung schneller Algorithmen.) Zbl 1059.65108
Sauter, Stefan; Schwab, Christoph
24
2004
A posteriori error analysis for elliptic PDEs on domains with complicated structures. Zbl 1049.65120
Carstensen, Carsten; Sauter, Stefan A.
11
2004
A posteriori error estimation for the Poisson equation with mixed Dirichlet/Neumann boundary conditions. Zbl 1038.65114
Repin, Sergey; Sauter, Stefan; Smolianski, Anton
10
2004
A posteriori estimation of dimension reduction errors for elliptic problems on thin domains. Zbl 1073.35072
Repin, Sergey; Sauter, Stefan; Smolianski, Anton
7
2004
Algebraic algorithms for the analysis of mechanical trusses. Zbl 1079.74045
Babuška, I.; Sauter, S. A.
4
2004
Efficient solution of lattice equations by the recovery method. I: Scalar elliptic problems. Zbl 1076.65097
Babuška, I.; Sauter, S. A.
1
2004
A posteriori error estimation for the Dirichlet problem with account of the error in the approximation of boundary conditions. Zbl 1128.35319
Repin, S.; Sauter, S.; Smolianski, A.
23
2003
Bridging the gap between geometric and algebraic multi-grid methods. Zbl 1030.65126
Feuchter, D.; Heppner, I.; Sauter, S. A.; Wittum, G.
7
2003
Fast cluster techniques for BEM. Zbl 1035.65142
Krzebek, Nico; Sauter, Stefan
2
2003
Transformation of hypersingular integrals and black-box cubature. Zbl 0958.65123
Sauter, S. A.; Lage, C.
14
2001
Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers? Zbl 0956.65095
Babuska, Ivo M.; Sauter, Stefan A.
123
2000
On \({\mathcal H}^2\)-matrices. Zbl 0963.65043
Hackbusch, W.; Khoromskij, B.; Sauter, S. A.
65
2000
Variable order panel clustering. Zbl 0959.65135
Sauter, S. A.
30
2000
Hybrid Galerkin boundary elements: Theory and implementation. Zbl 0966.65091
Graham, I. G.; Hackbusch, W.; Sauter, S. A.
7
2000
Discrete boundary element methods on general meshes in 3D. Zbl 0966.65090
Graham, I. G.; Hackbusch, W.; Sauter, S. A.
5
2000
A panel clustering method for 3-D elastostatics using spherical harmonics. Zbl 1059.74555
Hayami, K.; Sauter, S. A.
4
2000
Hybrid Galerkin boundary elements on degenerate meshes. Zbl 0937.65127
Graham, I. G.; Hackbusch, W.; Sauter, S. A.
2
2000
Extension operators and approximation on domains containing small geometric details. Zbl 0927.65128
Sauter, S. A.; Warnke, R.
16
1999
Efficient automatic quadrature in 3-D Galerkin BEM. Zbl 0943.65139
Erichsen, Stefan; Sauter, Stefan A.
36
1998
A new finite element approach for problems containing small geometric details. Zbl 0912.65088
Hackbusch, W.; Sauter, S. A.
5
1998
Panel clustering for 3-D elastostatics using spherical harmonics. Zbl 0924.73312
Hayami, Ken; Sauter, Stefan A.
3
1998
Cost estimation of the panel clustering method applied to 3-D elastostatics. Zbl 0929.74119
Hayami, Ken; Sauter, Stefan A.
3
1998
The panel clustering method in 3-D BEM. Zbl 0901.65070
Sauter, Stefan A.
1
1998
Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers? Zbl 0894.65050
Babuška, Ivo M.; Sauter, Stefan A.
158
1997
Composite finite elements for the approximation of PDEs on domains with complicated micro-structures. Zbl 0874.65086
Hackbusch, W.; Sauter, S. A.
53
1997
Composite finite elements for problems containing small geometric details. II: Implementation and numerical results. Zbl 1001.65127
Hackbusch, W.; Sauter, S. A.
30
1997
Quadrature for \(hp\)-Galerkin BEM in \(\mathbb{R}^3\). Zbl 0901.65069
Sauter, Stefan A.; Schwab, Christoph
27
1997
...and 12 more Documents
all top 5

Cited by 1,681 Authors

61 Sauter, Stefan
40 Praetorius, Dirk
37 Repin, Sergeĭ Igorevich
36 Melenk, Jens Markus
32 Spence, Euan A.
23 Hiptmair, Ralf
21 Börm, Steffen
16 Karkulik, Michael
16 Perugia, Ilaria
16 Peterseim, Daniel
15 Feischl, Michael
15 Führer, Thomas
15 Khoromskiĭ, Boris Nikolaevich
15 Sayas, Francisco-Javier
14 Graham, Ivan G.
14 Hackbusch, Wolfgang
14 Lin, Tao
14 Qian, Jianliang
14 Wu, Haijun
13 Chai, Yingbin
13 Harbrecht, Helmut
13 Monk, Peter B.
12 Banjai, Lehel
12 Chaumont-Frelet, Théophile
12 Harari, Isaac
11 Carstensen, Carsten
11 Claeys, Xavier
11 Falletta, Silvia
11 Houston, Paul
11 Luo, Songting
11 Of, Günther
11 Steinbach, Olaf
10 Aimi, Alessandra
10 Babuška, Ivo
10 Chandler-Wilde, Simon N.
10 Du, Yu
10 Gander, Martin Jakob
10 Li, Wei
10 Schanz, Martin
10 Turkel, Eli L.
10 Wu, Tingting
9 Barnett, Alex H.
9 Betcke, Timo
9 Galkowski, Jeffrey
9 Giani, Stefano
9 Martinsson, Per-Gunnar
9 Nochetto, Ricardo Horacio
9 Rieder, Alexander
9 Schwab, Christoph
9 Scuderi, Letizia
9 Tsynkov, Semyon V.
8 Antonietti, Paola Francesca
8 Demkowicz, Leszek F.
8 Diligenti, Mauro
8 Gantner, Gregor
8 He, Xiaoming
8 Heuer, Norbert
8 Lin, Yanping
8 Moiola, Andrea
8 Tausch, Johannes
8 Zhang, Zhimin
7 Aurada, Markus
7 Bebendorf, Mario
7 Burman, Erik
7 Burridge, Robert
7 Dolean, Victorita
7 Engström, Christian
7 Farhat, Charbel H.
7 Georgoulis, Emmanuil H.
7 Grote, Marcus J.
7 Jerez-Hanckes, Carlos
7 Ladevèze, Pierre
7 Monegato, Giovanni
7 Schmidt, Kersten
7 Stevenson, Rob P.
7 Wunsch, Jared
7 Ying, Lexing
7 Zapletal, Jan
6 Barucq, Hélène
6 Cheng, Dongsheng
6 Ciarlet, Patrick jun.
6 Desmet, Wim
6 Díez, Pedro
6 Dutra do Carmo, Eduardo Gomes
6 Faustmann, Markus
6 Ferraz-Leite, Samuel
6 Gatica, Gabriel N.
6 Gopalakrishnan, Jay
6 Grasedyck, Lars
6 Haberl, Alexander
6 Lafontaine, David
6 Li, Zi-Cai
6 Lu, Wangtao
6 Lubich, Christian
6 Ma, Fuming
6 Meddahi, Salim
6 Merta, Michal
6 Mohamed, M. Shadi
6 Verani, Marco
6 Vohralík, Martin
...and 1,581 more Authors
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Cited in 151 Serials

112 Computer Methods in Applied Mechanics and Engineering
103 Journal of Computational Physics
81 Numerische Mathematik
71 Computers & Mathematics with Applications
64 Engineering Analysis with Boundary Elements
60 Journal of Computational and Applied Mathematics
44 Mathematics of Computation
44 SIAM Journal on Scientific Computing
43 SIAM Journal on Numerical Analysis
43 Journal of Scientific Computing
38 Applied Numerical Mathematics
26 International Journal for Numerical Methods in Engineering
23 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
21 Advances in Computational Mathematics
21 Computational Methods in Applied Mathematics
18 Applied Mathematics and Computation
17 BIT
17 Computational Mechanics
16 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
16 Computing and Visualization in Science
16 Multiscale Modeling & Simulation
15 Computing
15 Numerical Methods for Partial Differential Equations
13 Numerical Algorithms
13 Applied Mathematical Modelling
13 SIAM Journal on Mathematical Analysis
11 Wave Motion
10 Journal of Mathematical Analysis and Applications
10 SIAM Journal on Matrix Analysis and Applications
10 Communications in Computational Physics
9 Mathematical Methods in the Applied Sciences
9 Integral Equations and Operator Theory
9 Journal of Computational Acoustics
7 Computational Mathematics and Mathematical Physics
7 Archives of Computational Methods in Engineering
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Calcolo
6 Numerical Linear Algebra with Applications
6 Journal of Numerical Mathematics
6 SIAM/ASA Journal on Uncertainty Quantification
5 Journal of Integral Equations and Applications
5 Applications of Mathematics
5 Journal of Mathematical Sciences (New York)
5 Foundations of Computational Mathematics
5 International Journal of Computational Methods
5 International Journal of Numerical Analysis and Modeling
4 Applicable Analysis
4 Inverse Problems
4 Journal of Elasticity
4 Computational and Applied Mathematics
4 Oberwolfach Reports
3 Communications on Pure and Applied Mathematics
3 Mathematics and Computers in Simulation
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 International Journal of Computer Mathematics
3 SIAM Journal on Applied Mathematics
3 SIAM Review
3 Russian Journal of Numerical Analysis and Mathematical Modelling
3 Acta Numerica
3 International Journal for Computational Methods in Engineering Science and Mechanics
3 Advances in Applied Mathematics and Mechanics
3 SN Partial Differential Equations and Applications
2 Computer Physics Communications
2 International Journal for Numerical Methods in Fluids
2 Journal of Fluid Mechanics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 ACM Transactions on Mathematical Software
2 Journal of Differential Equations
2 SIAM Journal on Control and Optimization
2 Constructive Approximation
2 Applied Mathematics Letters
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 ETNA. Electronic Transactions on Numerical Analysis
2 Mathematical Problems in Engineering
2 Vietnam Journal of Mathematics
2 Communications in Nonlinear Science and Numerical Simulation
2 Computational Geosciences
2 Engineering Computations
2 Differential Equations
2 Discrete and Continuous Dynamical Systems. Series B
2 Journal of Applied Mathematics and Computing
2 Analysis and Applications (Singapore)
2 Advances in Difference Equations
2 Inverse Problems in Science and Engineering
2 PAMM. Proceedings in Applied Mathematics and Mechanics
2 Discrete and Continuous Dynamical Systems. Series S
2 Science China. Mathematics
2 Research in the Mathematical Sciences
2 International Journal of Applied and Computational Mathematics
2 Mathematics in Engineering
2 Pure and Applied Analysis
1 Acta Mechanica
1 Archive for Rational Mechanics and Analysis
1 Moscow University Physics Bulletin
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Reviews in Mathematical Physics
1 Applied Mathematics and Optimization
1 Archiv der Mathematik
1 Numerical Functional Analysis and Optimization
1 Quarterly of Applied Mathematics
...and 51 more Serials
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Cited in 39 Fields

1,117 Numerical analysis (65-XX)
656 Partial differential equations (35-XX)
211 Fluid mechanics (76-XX)
178 Mechanics of deformable solids (74-XX)
171 Optics, electromagnetic theory (78-XX)
63 Integral equations (45-XX)
41 Approximations and expansions (41-XX)
31 Calculus of variations and optimal control; optimization (49-XX)
25 Linear and multilinear algebra; matrix theory (15-XX)
23 Operator theory (47-XX)
20 Potential theory (31-XX)
16 Geophysics (86-XX)
15 Biology and other natural sciences (92-XX)
14 Ordinary differential equations (34-XX)
12 Real functions (26-XX)
11 Computer science (68-XX)
11 Classical thermodynamics, heat transfer (80-XX)
10 Functional analysis (46-XX)
10 Probability theory and stochastic processes (60-XX)
10 Statistical mechanics, structure of matter (82-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
8 Special functions (33-XX)
8 Integral transforms, operational calculus (44-XX)
7 Quantum theory (81-XX)
7 Systems theory; control (93-XX)
6 Global analysis, analysis on manifolds (58-XX)
6 Statistics (62-XX)
5 General and overarching topics; collections (00-XX)
5 Information and communication theory, circuits (94-XX)
4 Operations research, mathematical programming (90-XX)
3 Combinatorics (05-XX)
3 Functions of a complex variable (30-XX)
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3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Measure and integration (28-XX)
2 Differential geometry (53-XX)
1 History and biography (01-XX)
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1 Astronomy and astrophysics (85-XX)

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