Edit Profile (opens in new tab) Sauter, Stefan Co-Author Distance Author ID: sauter.stefan-a Published as: Sauter, Stefan; Sauter, Stefan A.; Sauter, S. A.; Sauter, S.; Sauter, Stéfan A. more...less Homepage: https://www.math.uzh.ch/people?key1=105 External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 136 Publications since 1991, including 4 Books and 7 Additional arXiv Preprints 5 Contributions as Editor Co-Authors: 76 Co-Authors with 124 Joint Publications 2,450 Co-Co-Authors all top 5 Co-Authors 11 single-authored 21 Hackbusch, Wolfgang 16 Repin, Sergeĭ Igorevich 9 Melenk, Jens Markus 8 Smolianski, Anton 7 Graham, Ivan G. 7 Veit, Alexander 6 Babuška, Ivo 6 Schwab, Christoph 5 Ciarlet, Patrick jun. 5 López-Fernández, María 5 Torres, Céline 4 Börm, Steffen 4 Hayami, Ken 4 Khoromskiĭ, Boris Nikolaevich 3 Bohne, Nis-Erik 3 Carstensen, Carsten 3 Ciarlet, Philippe Gaston 3 Grote, Marcus J. 3 Kress, Wendy 3 Peterseim, Daniel 3 Samrowski, Tatiana S. 3 Warnke, R. 3 Wittum, Gabriel 2 Falletta, Silvia 2 Florian, Francesco 2 Grasedyck, Lars 2 Gräßle, Benedikt 2 Hiptmair, Ralf 2 Iosifescu, Oana 2 Krzebek, Nico 2 Lin, Chuhe 2 Michel, Simon R. J. 2 Nochetto, Ricardo Horacio 2 Parsania, Asieh 2 Preusser, Tobias 2 Rumpf, Martin 2 Schwen, Lars Ole 2 Wieners, Christian 2 Zou, Jun 1 Ballani, Jonas 1 Bank, Randolph E. 1 Bernkopf, Maximilian 1 Braess, Dietrich 1 Buffa, Annalisa 1 Chipot, Michel 1 Cuyt, Annie A. M. 1 Dahmen, Wolfgang A. 1 Dorfler, Willy 1 Dunkl, Charles F. 1 Eberle-Blick, Sarah 1 Erichsen, Stefan 1 Faermann, Birgit 1 Feuchter, Dirk 1 Frauböse, N. 1 Gasser, Rebekka 1 Gedicke, Joscha 1 Greff, Isabelle 1 Heppner, Ingo 1 Ihlenburg, Frank 1 Koornwinder, Tom H. 1 Krapp, A. 1 Larsson, Stig 1 Liehr, Florian 1 Löhndorf, Maike 1 Maleknejad, Khosrow 1 Mehlin, Michaela 1 Nedaiasl, Khadijeh 1 Nicaise, Serge 1 Paik, Ellen T. 1 Praetorius, Dirk 1 Rech, Mathias 1 Simian, Corina 1 Torabi, Parvin 1 Tyrtyshnikov, Evgeniĭ Evgen’evich 1 Vögeli, Urs 1 Weymuth, Monika 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 4 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 SIAM Journal on Mathematical Analysis 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 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 all top 5 Fields 123 Numerical analysis (65-XX) 89 Partial differential equations (35-XX) 17 Mechanics of deformable solids (74-XX) 12 Fluid mechanics (76-XX) 10 Special functions (33-XX) 9 Integral equations (45-XX) 5 General and overarching topics; collections (00-XX) 5 Approximations and expansions (41-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 114 Publications have been cited 2,526 times in 1,573 Documents Cited by ▼ Year ▼ Boundary element methods. Zbl 1215.65183 Sauter, Stefan A.; Schwab, Christoph 354 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. 185 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. 185 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. 142 2000 Wavenumber explicit convergence analysis for Galerkin discretizations of the Helmholtz equation. Zbl 1229.35038 Melenk, J. M.; Sauter, S. 139 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. 115 2010 On \({\mathcal H}^2\)-matrices. Zbl 0963.65043 Hackbusch, W.; Khoromskij, B.; Sauter, S. A. 74 2000 General DG-methods for highly indefinite Helmholtz problems. Zbl 1292.65128 Melenk, J. M.; Parsania, A.; Sauter, S. 63 2013 Composite finite elements for the approximation of PDEs on domains with complicated micro-structures. Zbl 0874.65086 Hackbusch, W.; Sauter, S. A. 58 1997 Rapid solution of the wave equation in unbounded domains. Zbl 1191.35020 Banjai, L.; Sauter, S. 57 2009 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. 42 2004 Finite elements on degenerate meshes: inverse-type inequalities and applications. Zbl 1076.65098 Graham, I. G.; Hackbusch, W.; Sauter, S. A. 40 2005 Efficient automatic quadrature in 3-D Galerkin BEM. Zbl 0943.65139 Erichsen, Stefan; Sauter, Stefan A. 39 1998 Boundary elements methods. Analysis, numerics and implementation of fast algorithms. (Randelementmethoden. Analyse, Numerik und Implementierung schneller Algorithmen.) Zbl 1059.65108 Sauter, Stefan; Schwab, Christoph 35 2004 Variable order panel clustering. Zbl 0959.65135 Sauter, S. A. 34 2000 Stability and finite element error analysis for the Helmholtz equation with variable coefficients. Zbl 1427.35016 Graham, I. G.; Sauter, S. A. 34 2020 Sparse convolution quadrature for time domain boundary integral formulations of the wave equation. Zbl 1178.65121 Hackbusch, W.; Kress, W.; Sauter, S. A. 33 2009 Composite finite elements for problems containing small geometric details. II: Implementation and numerical results. Zbl 1001.65127 Hackbusch, W.; Sauter, S. A. 31 1997 Composite finite elements for elliptic boundary value problems with discontinuous coefficients. Zbl 1284.65173 Sauter, S. A.; Warnke, R. 30 2006 Quadrature for \(hp\)-Galerkin BEM in \(\mathbb{R}^3\). Zbl 0901.65069 Sauter, Stefan A.; Schwab, Christoph 29 1997 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. 25 2003 On numerical cubatures of nearly singular surface integrals arising in BEM collocation. Zbl 0799.65028 Hackbusch, Wolfgang; Sauter, Stefan A. 24 1994 A refined Galerkin error and stability analysis for highly indefinite variational problems. Zbl 1138.65101 Banjai, L.; Sauter, S. 24 2007 Functional a posteriori estimates for the reaction-diffusion problem. Zbl 1100.65093 Repin, Sergey; Sauter, Stefan 24 2006 The AL basis for the solution of elliptic problems in heterogeneous media. Zbl 1250.65140 Grasedyck, L.; Greff, I.; Sauter, S. 23 2012 On the efficient use of the Galerkin-method to solve Fredholm integral equations. Zbl 0791.65101 Hackbusch, Wolfgang; Sauter, Stefan A. 23 1993 Use of tensor formats in elliptic eigenvalue problems. Zbl 1274.35252 Hackbusch, Wolfgang; Khoromskij, Boris N.; Sauter, Stefan; Tyrtyshnikov, Eugene E. 21 2012 A refined finite element convergence theory for highly indefinite Helmholtz problems. Zbl 1112.65103 Sauter, S. A. 19 2006 A Galerkin method for retarded boundary integral equations with smooth and compactly supported temporal basis functions. Zbl 1262.65125 Sauter, Stefan A.; Veit, Alexander 18 2013 Generalized convolution quadrature with variable time stepping. Zbl 1283.65091 Lopez-Fernandez, Maria; Sauter, Stefan 17 2013 Extension operators and approximation on domains containing small geometric details. Zbl 0927.65128 Sauter, S. A.; Warnke, R. 17 1999 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 16 1992 \(hp\)-finite elements for elliptic eigenvalue problems: Error estimates which are explicit with respect to \(\lambda, h\), and \(p\). Zbl 1211.65149 Sauter, S. 16 2010 Two-sided a posteriori error estimates for mixed formulations of elliptic problems. Zbl 1185.35048 Repin, Sergey; Sauter, Stefan; Smolianski, Anton 16 2007 Two-scale composite finite element method for Dirichlet problems on complicated domains. Zbl 1108.65118 Rech, M.; Sauter, S.; Smolianski, A. 16 2006 Stability estimate for the Helmholtz equation with rapidly jumping coefficients. Zbl 1401.65139 Sauter, Stefan; Torres, Céline 16 2018 Transformation of hypersingular integrals and black-box cubature. Zbl 0958.65123 Sauter, S. A.; Lage, C. 15 2001 On the acoustic single layer potential: stabilization and Fourier analysis. Zbl 1274.65336 Buffa, A.; Sauter, S. 15 2006 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 3D composite finite elements for elliptic boundary value problems with discontinuous coefficients. Zbl 1237.65129 Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole 14 2011 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. 14 2013 A posteriori error estimation of \(hp\)-dG finite element methods for highly indefinite Helmholtz problems. Zbl 1325.65147 Sauter, S.; Zech, J. 14 2015 Numerical treatment of retarded boundary integral equations by sparse panel clustering. Zbl 1140.65071 Kress, Wendy; Sauter, Stefan 14 2008 A posteriori error estimation for highly indefinite Helmholtz problems. Zbl 1287.35002 Dörfler, Willy; Sauter, Stefan 13 2013 Composite finite elements for 3D image based computing. Zbl 1512.65036 Liehr, Florian; Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole 13 2008 The composite mini element-coarse mesh computation of Stokes flows on complicated domains. Zbl 1235.76070 Peterseim, Daniel; Sauter, Stefan A. 13 2008 A posteriori error analysis for elliptic PDEs on domains with complicated structures. Zbl 1049.65120 Carstensen, Carsten; Sauter, Stefan A. 12 2004 Accuracy of mathematical models. Dimension reduction, homogenization, and simplification. Zbl 1481.35011 Repin, Sergey I.; Sauter, Stefan A. 11 2020 Retarded boundary integral equations on the sphere: exact and numerical solution. Zbl 1292.65103 Sauter, S.; Veit, A. 11 2014 BEM with linear complexity for the classical boundary integral operators. Zbl 1069.65131 Börm, Steffen; Sauter, Stefan A. 11 2005 A family of Crouzeix-Raviart finite elements in 3D. Zbl 1396.33020 Ciarlet, Patrick jun.; Dunkl, Charles F.; Sauter, Stefan A. 11 2018 Stabilized leapfrog based local time-stepping method for the wave equation. Zbl 1493.65151 Grote, Marcus J.; Michel, Simon; Sauter, Stefan A. 11 2021 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 Finite elements for elliptic problems with highly varying, nonperiodic diffusion matrix. Zbl 1264.65195 Peterseim, D.; Sauter, S. 10 2012 Wavenumber-explicit hp-FEM analysis for Maxwell’s equations with transparent boundary conditions. Zbl 1460.35085 Melenk, Jens M.; Sauter, Stefan A. 10 2021 On the justification of plate models. Zbl 1237.74127 Braess, Dietrich; Sauter, Stefan; Schwab, Christoph 9 2011 A fully discrete Galerkin method for Abel-type integral equations. Zbl 1402.65185 Vögeli, Urs; Nedaiasl, Khadijeh; Sauter, Stefan A. 9 2018 Cubature techniques for 3-D Galerkin BEM. Zbl 0881.65107 Sauter, Stefan A. 9 1996 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. 9 2016 Generalized convolution quadrature based on Runge-Kutta methods. Zbl 1348.65181 Lopez-Fernandez, Maria; Sauter, Stefan 9 2016 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 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 8 2011 Adaptive composite finite elements for the solution of PDEs containing non-uniformely distributed micro-scales. Zbl 0981.65513 Hackbusch, W.; Sauter, S. A. 8 1996 Saturation estimates for \(hp\)-finite element methods. Zbl 1380.65359 Bank, Randolph E.; Parsania, Asieh; Sauter, Stefan 8 2013 On the effect of numerical integration in the Galerkin boundary element method. Zbl 0878.65104 Sauter, S. A.; Krapp, A. 7 1996 Hybrid Galerkin boundary elements: Theory and implementation. Zbl 0966.65091 Graham, I. G.; Hackbusch, W.; Sauter, S. A. 7 2000 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 Bridging the gap between geometric and algebraic multi-grid methods. Zbl 1030.65126 Feuchter, D.; Heppner, I.; Sauter, S. A.; Wittum, G. 7 2003 A posteriori estimation of dimension reduction errors for elliptic problems on thin domains. Zbl 1073.35072 Repin, Sergey; Sauter, Stefan; Smolianski, Anton 7 2004 Fast and stable contour integration for high order divided differences via elliptic functions. Zbl 1311.65028 Lopez-Fernandez, M.; Sauter, S. 7 2015 Generalized convolution quadrature with variable time stepping. II: Algorithm and numerical results. Zbl 1325.65184 Lopez-Fernandez, Maria; Sauter, Stefan 7 2015 A new finite element approach for problems containing small geometric details. Zbl 0912.65088 Hackbusch, W.; Sauter, S. A. 6 1998 Adaptive time discretization for retarded potentials. Zbl 1336.65159 Sauter, S.; Veit, A. 6 2016 The panel-clustering method for the wave equation in two spatial dimensions. Zbl 1349.65414 Falletta, Silvia; Sauter, Stefan A. 6 2016 Critical functions and inf-sup stability of Crouzeix-Raviart elements. Zbl 1524.65773 Carstensen, C.; Sauter, S. 6 2022 Discrete boundary element methods on general meshes in 3D. Zbl 0966.65090 Graham, I. G.; Hackbusch, W.; Sauter, S. A. 5 2000 Numerical solution of a non-linear Volterra integral equation. Zbl 1333.65145 Maleknejad, K.; Torabi, P.; Sauter, S. 5 2016 Efficient numerical solution of Neumann problems on complicated domains. Zbl 1150.65029 Nicaise, S.; Sauter, Stefan A. 5 2006 Convolution quadrature for the wave equation with impedance boundary conditions. Zbl 1375.35395 Sauter, S. A.; Schanz, M. 5 2017 A panel clustering method for 3-D elastostatics using spherical harmonics. Zbl 1059.74555 Hayami, K.; Sauter, S. A. 4 2000 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 FEM for elliptic eigenvalue problems: how coarse can the coarsest mesh be chosen? An experimental study. Zbl 1522.65199 Banjai, L.; Börm, S.; Sauter, S. 4 2008 On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D. Zbl 1508.65160 Sauter, Stefan; Torres, Céline 4 2023 Benchmark computation of eigenvalues with large defect for non-self-adjoint elliptic differential operators. Zbl 1435.65190 Gasser, Rebekka; Gedicke, Joscha; Sauter, Stefan 4 2019 Algebraic algorithms for the analysis of mechanical trusses. Zbl 1079.74045 Babuška, I.; Sauter, S. A. 4 2004 Computable estimates of the modeling error related to Kirchhoff-Love plate model. Zbl 1200.35299 Repin, Sergey; Sauter, Stefan 3 2010 Lagrange multipliers in intrinsic elasticity. Zbl 1214.49030 Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Iosifescu, Oana; Sauter, Stefan; Zou, Jun 3 2011 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 Crouzeix-Raviart triangular elements are inf-sup stable. Zbl 1496.65211 Carstensen, Carsten; Sauter, Stefan A. 3 2022 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. 3 2021 Numerical approximation of Poisson problems in long domains. Zbl 1502.65191 Chipot, Michel; Hackbusch, Wolfgang; Sauter, Stefan; Veit, Alexander 3 2022 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 ILU method for finite-element discretizations. Zbl 0738.65084 Sauter, Stefan 2 1991 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 Fast cluster techniques for BEM. Zbl 1035.65142 Krzebek, Nico; Sauter, Stefan 2 2003 Wavenumber explicit analysis for Galerkin discretizations of lossy Helmholtz problems. Zbl 1445.35130 Melenk, Jens M.; Sauter, Stefan A.; Torres, Céline 2 2020 May the singular integrals in BEM be replaced by zero? Zbl 1071.65159 Börm, S.; Krzebek, N.; Sauter, S. A. 2 2005 On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D. Zbl 1508.65160 Sauter, Stefan; Torres, Céline 4 2023 Solvability of discrete Helmholtz equations. Zbl 07726050 Bernkopf, Maximilian; Sauter, Stefan; Torres, Céline; Veit, Alexander 1 2023 Critical functions and inf-sup stability of Crouzeix-Raviart elements. Zbl 1524.65773 Carstensen, C.; Sauter, S. 6 2022 Crouzeix-Raviart triangular elements are inf-sup stable. Zbl 1496.65211 Carstensen, Carsten; Sauter, Stefan A. 3 2022 Numerical approximation of Poisson problems in long domains. Zbl 1502.65191 Chipot, Michel; Hackbusch, Wolfgang; Sauter, Stefan; Veit, Alexander 3 2022 Stabilized leapfrog based local time-stepping method for the wave equation. Zbl 1493.65151 Grote, Marcus J.; Michel, Simon; Sauter, Stefan A. 11 2021 Wavenumber-explicit hp-FEM analysis for Maxwell’s equations with transparent boundary conditions. Zbl 1460.35085 Melenk, Jens M.; Sauter, Stefan A. 10 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. 3 2021 The heterogeneous Helmholtz problem with spherical symmetry: Green’s operator and stability estimates. Zbl 1517.35223 Sauter, Stefan; Torres, Céline 2 2021 Reliable methods of mathematical modeling. Zbl 1475.00127 1 2021 Variable order, directional \(\mathcal{H}^2\)-matrices for Helmholtz problems with complex frequency. Zbl 1511.65135 Börm, Steffen; Lopez-Fernandez, Maria; Sauter, Stefan 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. 34 2020 Accuracy of mathematical models. Dimension reduction, homogenization, and simplification. Zbl 1481.35011 Repin, Sergey I.; Sauter, Stefan A. 11 2020 Wavenumber explicit analysis for Galerkin discretizations of lossy Helmholtz problems. Zbl 1445.35130 Melenk, Jens M.; Sauter, Stefan A.; Torres, Céline 2 2020 Benchmark computation of eigenvalues with large defect for non-self-adjoint elliptic differential operators. Zbl 1435.65190 Gasser, Rebekka; Gedicke, Joscha; Sauter, Stefan 4 2019 Stability estimate for the Helmholtz equation with rapidly jumping coefficients. Zbl 1401.65139 Sauter, Stefan; Torres, Céline 16 2018 A family of Crouzeix-Raviart finite elements in 3D. Zbl 1396.33020 Ciarlet, Patrick jun.; Dunkl, Charles F.; Sauter, Stefan A. 11 2018 A fully discrete Galerkin method for Abel-type integral equations. Zbl 1402.65185 Vögeli, Urs; Nedaiasl, Khadijeh; Sauter, Stefan A. 9 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 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. 9 2016 Generalized convolution quadrature based on Runge-Kutta methods. Zbl 1348.65181 Lopez-Fernandez, Maria; Sauter, Stefan 9 2016 Adaptive time discretization for retarded potentials. Zbl 1336.65159 Sauter, S.; Veit, A. 6 2016 The panel-clustering method for the wave equation in two spatial dimensions. Zbl 1349.65414 Falletta, Silvia; Sauter, Stefan A. 6 2016 Numerical solution of a non-linear Volterra integral equation. Zbl 1333.65145 Maleknejad, K.; Torabi, P.; Sauter, S. 5 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. 14 2015 Fast and stable contour integration for high order divided differences via elliptic functions. Zbl 1311.65028 Lopez-Fernandez, M.; Sauter, S. 7 2015 Generalized convolution quadrature with variable time stepping. II: Algorithm and numerical results. Zbl 1325.65184 Lopez-Fernandez, Maria; Sauter, Stefan 7 2015 The intersection of bivariate orthogonal polynomials on triangle patches. Zbl 1309.65145 Koornwinder, Tom H.; Sauter, Stefan A. 2 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. 63 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 18 2013 Generalized convolution quadrature with variable time stepping. Zbl 1283.65091 Lopez-Fernandez, Maria; Sauter, Stefan 17 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. 14 2013 A posteriori error estimation for highly indefinite Helmholtz problems. Zbl 1287.35002 Dörfler, Willy; Sauter, Stefan 13 2013 Saturation estimates for \(hp\)-finite element methods. Zbl 1380.65359 Bank, Randolph E.; Parsania, Asieh; Sauter, Stefan 8 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. 23 2012 Use of tensor formats in elliptic eigenvalue problems. Zbl 1274.35252 Hackbusch, Wolfgang; Khoromskij, Boris N.; Sauter, Stefan; Tyrtyshnikov, Eugene E. 21 2012 Finite elements for elliptic problems with highly varying, nonperiodic diffusion matrix. Zbl 1264.65195 Peterseim, D.; Sauter, S. 10 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 354 2011 Wavenumber explicit convergence analysis for Galerkin discretizations of the Helmholtz equation. Zbl 1229.35038 Melenk, J. M.; Sauter, S. 139 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 14 2011 On the justification of plate models. Zbl 1237.74127 Braess, Dietrich; Sauter, Stefan; Schwab, Christoph 9 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 8 2011 Lagrange multipliers in intrinsic elasticity. Zbl 1214.49030 Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Iosifescu, Oana; Sauter, Stefan; Zou, Jun 3 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. 115 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. 16 2010 Computable estimates of the modeling error related to Kirchhoff-Love plate model. Zbl 1200.35299 Repin, Sergey; Sauter, Stefan 3 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. 57 2009 Sparse convolution quadrature for time domain boundary integral formulations of the wave equation. Zbl 1178.65121 Hackbusch, W.; Kress, W.; Sauter, S. A. 33 2009 Numerical treatment of retarded boundary integral equations by sparse panel clustering. Zbl 1140.65071 Kress, Wendy; Sauter, Stefan 14 2008 Composite finite elements for 3D image based computing. Zbl 1512.65036 Liehr, Florian; Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole 13 2008 The composite mini element-coarse mesh computation of Stokes flows on complicated domains. Zbl 1235.76070 Peterseim, Daniel; Sauter, Stefan A. 13 2008 FEM for elliptic eigenvalue problems: how coarse can the coarsest mesh be chosen? An experimental study. Zbl 1522.65199 Banjai, L.; Börm, S.; Sauter, S. 4 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 Two-sided a posteriori error estimates for mixed formulations of elliptic problems. Zbl 1185.35048 Repin, Sergey; Sauter, Stefan; Smolianski, Anton 16 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 Composite finite elements for elliptic boundary value problems with discontinuous coefficients. Zbl 1284.65173 Sauter, S. A.; Warnke, R. 30 2006 Functional a posteriori estimates for the reaction-diffusion problem. Zbl 1100.65093 Repin, Sergey; Sauter, Stefan 24 2006 A refined finite element convergence theory for highly indefinite Helmholtz problems. Zbl 1112.65103 Sauter, S. A. 19 2006 Two-scale composite finite element method for Dirichlet problems on complicated domains. Zbl 1108.65118 Rech, M.; Sauter, S.; Smolianski, A. 16 2006 On the acoustic single layer potential: stabilization and Fourier analysis. Zbl 1274.65336 Buffa, A.; Sauter, S. 15 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. 11 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. 42 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 35 2004 A posteriori error analysis for elliptic PDEs on domains with complicated structures. Zbl 1049.65120 Carstensen, Carsten; Sauter, Stefan A. 12 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 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. 25 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. 15 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. 142 2000 On \({\mathcal H}^2\)-matrices. Zbl 0963.65043 Hackbusch, W.; Khoromskij, B.; Sauter, S. A. 74 2000 Variable order panel clustering. Zbl 0959.65135 Sauter, S. A. 34 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. 17 1999 Efficient automatic quadrature in 3-D Galerkin BEM. Zbl 0943.65139 Erichsen, Stefan; Sauter, Stefan A. 39 1998 A new finite element approach for problems containing small geometric details. Zbl 0912.65088 Hackbusch, W.; Sauter, S. A. 6 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. 185 1997 Composite finite elements for the approximation of PDEs on domains with complicated micro-structures. Zbl 0874.65086 Hackbusch, W.; Sauter, S. A. 58 1997 ...and 14 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,991 Authors 62 Sauter, Stefan 43 Praetorius, Dirk 40 Repin, Sergeĭ Igorevich 39 Melenk, Jens Markus 35 Spence, Euan A. 29 Hiptmair, Ralf 24 Börm, Steffen 21 Peterseim, Daniel 19 Claeys, Xavier 18 Harbrecht, Helmut 17 Feischl, Michael 17 Karkulik, Michael 17 Khoromskiĭ, Boris Nikolaevich 17 Qian, Jianliang 17 Wu, Haijun 16 Führer, Thomas 16 Perugia, Ilaria 16 Sayas, Francisco-Javier 15 Chaumont-Frelet, Théophile 14 Chai, Yingbin 14 Graham, Ivan G. 14 Hackbusch, Wolfgang 14 Lin, Tao 13 Banjai, Lehel 13 Jerez-Hanckes, Carlos 13 Monk, Peter B. 13 Of, Günther 13 Schwab, Christoph 12 Carstensen, Carsten 12 Chandler-Wilde, Simon N. 12 Gander, Martin Jakob 12 Harari, Isaac 12 Steinbach, Olaf 11 Aimi, Alessandra 11 Du, Yu 11 Falletta, Silvia 11 Li, Wei 11 Luo, Songting 11 Nochetto, Ricardo Horacio 11 Schanz, Martin 11 Turkel, Eli L. 10 Barnett, Alex H. 10 Burridge, Robert 10 Giani, Stefano 10 He, Xiaoming 10 Houston, Paul 10 Moiola, Andrea 10 Tsynkov, Semyon V. 10 Zapletal, Jan 9 Babuška, Ivo 9 Bebendorf, Mario 9 Betcke, Timo 9 Diligenti, Mauro 9 Dolean, Victorita 9 Galkowski, Jeffrey 9 Gantner, Gregor 9 Gatica, Gabriel N. 9 Heuer, Norbert 9 Martinsson, Per-Gunnar 9 Meddahi, Salim 9 Rieder, Alexander 9 Scuderi, Letizia 9 Tausch, Johannes 8 Antonietti, Paola Francesca 8 Aurada, Markus 8 Barucq, Hélène 8 Bruno, Oscar P. 8 Chernov, Alexey 8 Chow, Edmond 8 Demkowicz, Leszek 8 Kaltenbacher, Barbara 8 Li, Zi-Cai 8 Lin, Yanping 8 Merta, Michal 8 Schmidt, Kersten 8 Vuik, Cornelis 8 Wunsch, Jared 8 Zhang, Zhimin 7 Bonnet, Marc 7 Burman, Erik 7 Cheng, Dongsheng 7 Díez, Pedro 7 Engström, Christian 7 Farhat, Charbel H. 7 Faustmann, Markus 7 Ferraz-Leite, Samuel 7 Georgoulis, Emmanuil H. 7 Greengard, Leslie F. 7 Grote, Marcus J. 7 Hauck, Moritz 7 Kressner, Daniel 7 Ladevèze, Pierre 7 Lafontaine, David 7 Monegato, Giovanni 7 Stevenson, Rob P. 7 Tordeux, Sébastien 7 Verfürth, Barbara 7 Vohralík, Martin 7 Wu, Tingting 7 Ying, Lexing ...and 1,891 more Authors all top 5 Cited in 175 Serials 120 Computer Methods in Applied Mechanics and Engineering 119 Journal of Computational Physics 88 Numerische Mathematik 87 Computers & Mathematics with Applications 79 Journal of Computational and Applied Mathematics 71 Engineering Analysis with Boundary Elements 55 SIAM Journal on Scientific Computing 50 SIAM Journal on Numerical Analysis 50 Journal of Scientific Computing 49 International Journal for Numerical Methods in Engineering 47 Mathematics of Computation 43 Applied Numerical Mathematics 28 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 27 Computational Methods in Applied Mathematics 26 Advances in Computational Mathematics 24 Numerical Methods for Partial Differential Equations 19 BIT 19 Multiscale Modeling & Simulation 18 Applied Mathematics and Computation 17 Computational Mechanics 16 Computing and Visualization in Science 15 Computing 15 SIAM Journal on Mathematical Analysis 14 Numerical Algorithms 13 Mathematical Methods in the Applied Sciences 13 Applied Mathematical Modelling 13 Numerical Linear Algebra with Applications 12 Wave Motion 12 Communications in Computational Physics 11 Journal of Mathematical Analysis and Applications 11 M\(^3\)AS. 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Electronic Transactions on Numerical Analysis 3 Russian Journal of Numerical Analysis and Mathematical Modelling 3 Journal of Applied Mathematics and Computing 3 Acta Numerica 3 GAMM-Mitteilungen 3 Inverse Problems and Imaging 3 Discrete and Continuous Dynamical Systems. Series S 3 International Journal for Computational Methods in Engineering Science and Mechanics 3 Advances in Applied Mathematics and Mechanics 3 Mathematics in Engineering 3 Mechanics of Solids 3 SN Partial Differential Equations and Applications 2 Computers and Fluids 2 Computer Physics Communications 2 Journal of Fluid Mechanics 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Applied Mathematics and Optimization 2 Journal of Differential Equations 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Control and Optimization 2 Journal of Computational Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Mathematical Problems in Engineering 2 Vietnam Journal of Mathematics 2 Journal of Applied Mechanics and Technical Physics 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 Systems Science and Complexity 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 Numerical Mathematics: Theory, Methods and Applications 2 Science China. Mathematics ...and 75 more Serials all top 5 Cited in 41 Fields 1,331 Numerical analysis (65-XX) 791 Partial differential equations (35-XX) 243 Fluid mechanics (76-XX) 210 Mechanics of deformable solids (74-XX) 209 Optics, electromagnetic theory (78-XX) 78 Integral equations (45-XX) 54 Approximations and expansions (41-XX) 39 Calculus of variations and optimal control; optimization (49-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 31 Operator theory (47-XX) 24 Potential theory (31-XX) 23 Computer science (68-XX) 17 Ordinary differential equations (34-XX) 17 Geophysics (86-XX) 17 Biology and other natural sciences (92-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Real functions (26-XX) 14 Classical thermodynamics, heat transfer (80-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 13 Probability theory and stochastic processes (60-XX) 12 Functional analysis (46-XX) 11 Special functions (33-XX) 11 Integral transforms, operational calculus (44-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Quantum theory (81-XX) 7 General and overarching topics; collections (00-XX) 7 Statistics (62-XX) 7 Systems theory; control (93-XX) 6 Information and communication theory, circuits (94-XX) 5 Functions of a complex variable (30-XX) 5 Operations research, mathematical programming (90-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Combinatorics (05-XX) 3 Measure and integration (28-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Differential geometry (53-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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