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: 128 Publications since 1991, including 4 Books 4 Contributions as Editor Co-Authors: 72 Co-Authors with 115 Joint Publications 2,251 Co-Co-Authors all top 5 Co-Authors 11 single-authored 21 Hackbusch, Wolfgang 16 Repin, Sergeĭ Igorevich 8 Smolianski, Anton 7 Graham, Ivan G. 7 Veit, Alexander 6 Babuška, Ivo 6 Schwab, Christoph 5 López-Fernández, María 5 Melenk, Jens Markus 5 Torres, Céline 4 Börm, Steffen 4 Ciarlet, Patrick jun. 4 Hayami, Ken 4 Khoromskiĭ, Boris Nikolaevich 3 Carstensen, Carsten 3 Ciarlet, Philippe Gaston 3 Kress, Wendy 3 Peterseim, Daniel 3 Samrowski, Tatiana S. 3 Warnke, R. 3 Wittum, Gabriel 2 Falletta, Silvia 2 Grasedyck, Lars 2 Grote, Marcus J. 2 Iosifescu, Oana 2 Krzebek, Nico 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 Dahmen, Wolfgang A. 1 Dorfler, Willy 1 Dunkl, Charles F. 1 Eberle-Blick, Sarah 1 Erichsen, Stefan 1 Faermann, Birgit 1 Feuchter, Dirk 1 Florian, Francesco 1 Frauböse, N. 1 Gasser, Rebekka 1 Gedicke, Joscha 1 Greff, Isabelle 1 Heppner, Ingo 1 Hiptmair, Ralf 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 Michel, Simon 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 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 all top 5 Fields 118 Numerical analysis (65-XX) 86 Partial differential equations (35-XX) 17 Mechanics of deformable solids (74-XX) 9 Integral equations (45-XX) 9 Fluid mechanics (76-XX) 6 Special functions (33-XX) 4 General and overarching topics; collections (00-XX) 4 Approximations and expansions (41-XX) 3 Calculus of variations and optimal control; optimization (49-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 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 112 Publications have been cited 2,133 times in 1,320 Documents Cited by ▼ Year ▼ Boundary element methods. Zbl 1215.65183Sauter, Stefan A.; Schwab, Christoph 236 2011 A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution. Zbl 0863.73055Babuška, 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 0894.65050Babuška, Ivo M.; Sauter, Stefan A. 158 1997 Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers? Zbl 0956.65095Babuska, Ivo M.; Sauter, Stefan A. 123 2000 Wavenumber explicit convergence analysis for Galerkin discretizations of the Helmholtz equation. Zbl 1229.35038Melenk, J. M.; Sauter, S. 120 2011 Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions. Zbl 1205.65301Melenk, J. M.; Sauter, S. 96 2010 On \({\mathcal H}^2\)-matrices. Zbl 0963.65043Hackbusch, W.; Khoromskij, B.; Sauter, S. A. 65 2000 Composite finite elements for the approximation of PDEs on domains with complicated micro-structures. Zbl 0874.65086Hackbusch, W.; Sauter, S. A. 53 1997 Rapid solution of the wave equation in unbounded domains. Zbl 1191.35020Banjai, L.; Sauter, S. 52 2009 General DG-methods for highly indefinite Helmholtz problems. Zbl 1292.65128Melenk, J. M.; Parsania, A.; Sauter, S. 51 2013 Finite elements on degenerate meshes: inverse-type inequalities and applications. Zbl 1076.65098Graham, I. G.; Hackbusch, W.; Sauter, S. A. 40 2005 Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method. Zbl 1050.65110Dahmen, W.; Faermann, B.; Graham, I. G.; Hackbusch, W.; Sauter, S. A. 37 2004 Efficient automatic quadrature in 3-D Galerkin BEM. Zbl 0943.65139Erichsen, Stefan; Sauter, Stefan A. 36 1998 Variable order panel clustering. Zbl 0959.65135Sauter, S. A. 30 2000 Composite finite elements for problems containing small geometric details. II: Implementation and numerical results. Zbl 1001.65127Hackbusch, W.; Sauter, S. A. 30 1997 Sparse convolution quadrature for time domain boundary integral formulations of the wave equation. Zbl 1178.65121Hackbusch, W.; Kress, W.; Sauter, S. A. 30 2009 Quadrature for \(hp\)-Galerkin BEM in \(\mathbb{R}^3\). Zbl 0901.65069Sauter, Stefan A.; Schwab, Christoph 27 1997 Composite finite elements for elliptic boundary value problems with discontinuous coefficients. Zbl 1284.65173Sauter, S. A.; Warnke, R. 26 2006 A refined Galerkin error and stability analysis for highly indefinite variational problems. Zbl 1138.65101Banjai, L.; Sauter, S. 24 2007 Boundary elements methods. Analysis, numerics and implementation of fast algorithms. (Randelementmethoden. Analyse, Numerik und Implementierung schneller Algorithmen.) Zbl 1059.65108Sauter, Stefan; Schwab, Christoph 24 2004 On numerical cubatures of nearly singular surface integrals arising in BEM collocation. Zbl 0799.65028Hackbusch, Wolfgang; Sauter, Stefan A. 23 1994 Functional a posteriori estimates for the reaction-diffusion problem. Zbl 1100.65093Repin, 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 1128.35319Repin, S.; Sauter, S.; Smolianski, A. 23 2003 On the efficient use of the Galerkin-method to solve Fredholm integral equations. Zbl 0791.65101Hackbusch, Wolfgang; Sauter, Stefan A. 22 1993 Stability and finite element error analysis for the Helmholtz equation with variable coefficients. Zbl 1427.35016Graham, I. G.; Sauter, S. A. 22 2020 The AL basis for the solution of elliptic problems in heterogeneous media. Zbl 1250.65140Grasedyck, L.; Greff, I.; Sauter, S. 20 2012 Use of tensor formats in elliptic eigenvalue problems. Zbl 1274.35252Hackbusch, 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 1262.65125Sauter, Stefan A.; Veit, Alexander 17 2013 A refined finite element convergence theory for highly indefinite Helmholtz problems. Zbl 1112.65103Sauter, S. A. 17 2006 Generalized convolution quadrature with variable time stepping. Zbl 1283.65091Lopez-Fernandez, Maria; Sauter, Stefan 16 2013 Extension operators and approximation on domains containing small geometric details. Zbl 0927.65128Sauter, 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 1298.65185Hackbusch, Wolfgang; Kress, Wendy; Sauter, Stefan A. 15 2007 On the acoustic single layer potential: stabilization and Fourier analysis. Zbl 1274.65336Buffa, A.; Sauter, S. 15 2006 Two-sided a posteriori error estimates for mixed formulations of elliptic problems. Zbl 1185.35048Repin, Sergey; Sauter, Stefan; Smolianski, Anton 14 2007 Two-scale composite finite element method for Dirichlet problems on complicated domains. Zbl 1108.65118Rech, M.; Sauter, S.; Smolianski, A. 14 2006 Transformation of hypersingular integrals and black-box cubature. Zbl 0958.65123Sauter, 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 1211.65149Sauter, S. 14 2010 Stability estimate for the Helmholtz equation with rapidly jumping coefficients. Zbl 1401.65139Sauter, Stefan; Torres, Céline 13 2018 Numerical treatment of retarded boundary integral equations by sparse panel clustering. Zbl 1140.65071Kress, Wendy; Sauter, Stefan 13 2008 Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge-Kutta convolution quadrature. Zbl 1279.78019Ballani, 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 0850.65366Sauter, Stefan 12 1992 The composite mini element-coarse mesh computation of Stokes flows on complicated domains. Zbl 1235.76070Peterseim, Daniel; Sauter, Stefan A. 12 2008 Retarded boundary integral equations on the sphere: exact and numerical solution. Zbl 1292.65103Sauter, S.; Veit, A. 11 2014 A posteriori error analysis for elliptic PDEs on domains with complicated structures. Zbl 1049.65120Carstensen, Carsten; Sauter, Stefan A. 11 2004 A posteriori error estimation for the Poisson equation with mixed Dirichlet/Neumann boundary conditions. Zbl 1038.65114Repin, Sergey; Sauter, Stefan; Smolianski, Anton 10 2004 A posteriori error estimation of \(hp\)-dG finite element methods for highly indefinite Helmholtz problems. Zbl 1325.65147Sauter, S.; Zech, J. 10 2015 Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation. Zbl 1448.65160Grote, Marcus J.; Mehlin, Michaela; Sauter, Stefan A. 9 2018 3D composite finite elements for elliptic boundary value problems with discontinuous coefficients. Zbl 1237.65129Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole 9 2011 A posteriori error estimation for highly indefinite Helmholtz problems. Zbl 1287.35002Dörfler, Willy; Sauter, Stefan 9 2013 A family of Crouzeix-Raviart finite elements in 3D. Zbl 1396.33020Ciarlet, Patrick jun.; Dunkl, Charles F.; Sauter, Stefan A. 9 2018 Stabilized leapfrog based local time-stepping method for the wave equation. Zbl 1493.65151Grote, Marcus J.; Michel, Simon; Sauter, Stefan A. 8 2021 On the justification of plate models. Zbl 1237.74127Braess, Dietrich; Sauter, Stefan; Schwab, Christoph 8 2011 Finite element methods for the Stokes problem on complicated domains. Zbl 1230.76031Peterseim, Daniel; Sauter, Stefan A. 8 2011 A fully discrete Galerkin method for Abel-type integral equations. Zbl 1402.65185Vögeli, Urs; Nedaiasl, Khadijeh; Sauter, Stefan A. 8 2018 Finite elements for elliptic problems with highly varying, nonperiodic diffusion matrix. Zbl 1264.65195Peterseim, D.; Sauter, S. 8 2012 BEM with linear complexity for the classical boundary integral operators. Zbl 1069.65131Börm, Steffen; Sauter, Stefan A. 8 2005 Intrinsic finite element methods for the computation of fluxes for Poisson’s equation. Zbl 1335.65091Ciarlet, P. G.; Ciarlet, P. jun.; Sauter, S. A.; Simian, C. 8 2016 Saturation estimates for \(hp\)-finite element methods. Zbl 1380.65359Bank, Randolph E.; Parsania, Asieh; Sauter, Stefan 7 2013 Generalized convolution quadrature based on Runge-Kutta methods. Zbl 1348.65181Lopez-Fernandez, Maria; Sauter, Stefan 7 2016 Generalized convolution quadrature with variable time stepping. II: Algorithm and numerical results. Zbl 1325.65184Lopez-Fernandez, Maria; Sauter, Stefan 7 2015 Cubature techniques for 3-D Galerkin BEM. Zbl 0881.65107Sauter, Stefan A. 7 1996 On the effect of numerical integration in the Galerkin boundary element method. Zbl 0878.65104Sauter, S. A.; Krapp, A. 7 1996 Combined a posteriori modeling-discretization error estimate for elliptic problems with complicated interfaces. Zbl 1281.65144Repin, Sergey I.; Samrowski, Tatiana S.; Sauter, Stéfan A. 7 2012 Hybrid Galerkin boundary elements: Theory and implementation. Zbl 0966.65091Graham, 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 0981.65513Hackbusch, W.; Sauter, S. A. 7 1996 Fast quadrature techniques for retarded potentials based on TT/QTT tensor approximation. Zbl 1283.65040Khoromskij, Boris; Sauter, Stefan; Veit, Alexander 7 2011 A posteriori estimation of dimension reduction errors for elliptic problems on thin domains. Zbl 1073.35072Repin, Sergey; Sauter, Stefan; Smolianski, Anton 7 2004 Bridging the gap between geometric and algebraic multi-grid methods. Zbl 1030.65126Feuchter, D.; Heppner, I.; Sauter, S. A.; Wittum, G. 7 2003 Fast and stable contour integration for high order divided differences via elliptic functions. Zbl 1311.65028Lopez-Fernandez, M.; Sauter, S. 6 2015 Wavenumber-explicit hp-FEM analysis for Maxwell’s equations with transparent boundary conditions. Zbl 1460.35085Melenk, Jens M.; Sauter, Stefan A. 6 2021 The panel-clustering method for the wave equation in two spatial dimensions. Zbl 1349.65414Falletta, Silvia; Sauter, Stefan A. 6 2016 Composite finite elements for 3D image based computing. Zbl 1512.65036Liehr, Florian; Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole 6 2008 Adaptive time discretization for retarded potentials. Zbl 1336.65159Sauter, S.; Veit, A. 6 2016 Convolution quadrature for the wave equation with impedance boundary conditions. Zbl 1375.35395Sauter, S. A.; Schanz, M. 5 2017 Efficient numerical solution of Neumann problems on complicated domains. Zbl 1150.65029Nicaise, S.; Sauter, Stefan A. 5 2006 Discrete boundary element methods on general meshes in 3D. Zbl 0966.65090Graham, I. G.; Hackbusch, W.; Sauter, S. A. 5 2000 A new finite element approach for problems containing small geometric details. Zbl 0912.65088Hackbusch, W.; Sauter, S. A. 5 1998 Accuracy of mathematical models. Dimension reduction, homogenization, and simplification. Zbl 1481.35011Repin, Sergey I.; Sauter, Stefan A. 5 2020 On the efficient computation of singular and nearly singular surface integrals arising in 3D-Galerkin BEM. Zbl 0886.65141Sauter, S. A.; Lage, C. 4 1996 Lagrange multipliers in intrinsic elasticity. Zbl 1214.49030Ciarlet, 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 1059.74555Hayami, K.; Sauter, S. A. 4 2000 Algebraic algorithms for the analysis of mechanical trusses. Zbl 1079.74045Babuška, I.; Sauter, S. A. 4 2004 Critical functions and inf-sup stability of Crouzeix-Raviart elements. Zbl 07469167Carstensen, C.; Sauter, S. 4 2022 Computable estimates of the modeling error related to Kirchhoff-Love plate model. Zbl 1200.35299Repin, Sergey; Sauter, Stefan 3 2010 Panel clustering for 3-D elastostatics using spherical harmonics. Zbl 0924.73312Hayami, Ken; Sauter, Stefan A. 3 1998 Cost estimation of the panel clustering method applied to 3-D elastostatics. Zbl 0929.74119Hayami, Ken; Sauter, Stefan A. 3 1998 Benchmark computation of eigenvalues with large defect for non-self-adjoint elliptic differential operators. Zbl 1435.65190Gasser, Rebekka; Gedicke, Joscha; Sauter, Stefan 2 2019 The ILU method for finite-element discretizations. Zbl 0738.65084Sauter, 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 1281.65145Repin, Sergey I.; Samrowski, Tatiana S.; Sauter, Stefan A. 2 2013 May the singular integrals in BEM be replaced by zero? Zbl 1071.65159Börm, S.; Krzebek, N.; Sauter, S. A. 2 2005 Crouzeix-Raviart triangular elements are inf-sup stable. Zbl 1496.65211Carstensen, Carsten; Sauter, Stefan A. 2 2022 On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D. Zbl 1508.65160Sauter, Stefan; Torres, Céline 2 2023 Fast cluster techniques for BEM. Zbl 1035.65142Krzebek, Nico; Sauter, Stefan 2 2003 Coarsening of boundary-element spaces. Zbl 1092.65108Hackbusch, W.; Löhndorf, M.; Sauter, S. A. 2 2006 Application of the panel clustering method to the three-dimensional elastostatic problem. Zbl 0916.73071Hayami, K.; Sauter, S. A. 2 1997 Hybrid Galerkin boundary elements on degenerate meshes. Zbl 0937.65127Graham, I. G.; Hackbusch, W.; Sauter, S. A. 2 2000 The heterogeneous Helmholtz problem with spherical symmetry: Green’s operator and stability estimates. Zbl 1517.35223Sauter, Stefan; Torres, Céline 2 2021 Numerical solution of a non-linear Volterra integral equation. Zbl 1333.65145Maleknejad, K.; Torabi, P.; Sauter, S. 2 2016 A posteriori modelling-discretization error estimate for elliptic problems with \(L^\infty\)-coefficients. Zbl 1380.65391Weymuth, Monika; Sauter, Stefan; Repin, Sergey 1 2017 The intersection of bivariate orthogonal polynomials on triangle patches. Zbl 1309.65145Koornwinder, Tom H.; Sauter, Stefan A. 1 2015 On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D. Zbl 1508.65160Sauter, Stefan; Torres, Céline 2 2023 Critical functions and inf-sup stability of Crouzeix-Raviart elements. Zbl 07469167Carstensen, C.; Sauter, S. 4 2022 Crouzeix-Raviart triangular elements are inf-sup stable. Zbl 1496.65211Carstensen, Carsten; Sauter, Stefan A. 2 2022 Numerical approximation of Poisson problems in long domains. Zbl 1502.65191Chipot, Michel; Hackbusch, Wolfgang; Sauter, Stefan; Veit, Alexander 1 2022 Stabilized leapfrog based local time-stepping method for the wave equation. Zbl 1493.65151Grote, Marcus J.; Michel, Simon; Sauter, Stefan A. 8 2021 Wavenumber-explicit hp-FEM analysis for Maxwell’s equations with transparent boundary conditions. Zbl 1460.35085Melenk, Jens M.; Sauter, Stefan A. 6 2021 The heterogeneous Helmholtz problem with spherical symmetry: Green’s operator and stability estimates. Zbl 1517.35223Sauter, Stefan; Torres, Céline 2 2021 A stable boundary integral formulation of an acoustic wave transmission problem with mixed boundary conditions. Zbl 1467.65115Eberle, S.; Florian, F.; Hiptmair, R.; Sauter, S. A. 1 2021 Stability and finite element error analysis for the Helmholtz equation with variable coefficients. Zbl 1427.35016Graham, I. G.; Sauter, S. A. 22 2020 Accuracy of mathematical models. Dimension reduction, homogenization, and simplification. Zbl 1481.35011Repin, Sergey I.; Sauter, Stefan A. 5 2020 Wavenumber explicit analysis for Galerkin discretizations of lossy Helmholtz problems. Zbl 1445.35130Melenk, Jens M.; Sauter, Stefan A.; Torres, Céline 1 2020 Benchmark computation of eigenvalues with large defect for non-self-adjoint elliptic differential operators. Zbl 1435.65190Gasser, Rebekka; Gedicke, Joscha; Sauter, Stefan 2 2019 Stability estimate for the Helmholtz equation with rapidly jumping coefficients. Zbl 1401.65139Sauter, Stefan; Torres, Céline 13 2018 Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation. Zbl 1448.65160Grote, Marcus J.; Mehlin, Michaela; Sauter, Stefan A. 9 2018 A family of Crouzeix-Raviart finite elements in 3D. Zbl 1396.33020Ciarlet, Patrick jun.; Dunkl, Charles F.; Sauter, Stefan A. 9 2018 A fully discrete Galerkin method for Abel-type integral equations. Zbl 1402.65185Vögeli, Urs; Nedaiasl, Khadijeh; Sauter, Stefan A. 8 2018 Convolution quadrature for the wave equation with impedance boundary conditions. Zbl 1375.35395Sauter, S. A.; Schanz, M. 5 2017 A posteriori modelling-discretization error estimate for elliptic problems with \(L^\infty\)-coefficients. Zbl 1380.65391Weymuth, Monika; Sauter, Stefan; Repin, Sergey 1 2017 Intrinsic finite element methods for the computation of fluxes for Poisson’s equation. Zbl 1335.65091Ciarlet, P. G.; Ciarlet, P. jun.; Sauter, S. A.; Simian, C. 8 2016 Generalized convolution quadrature based on Runge-Kutta methods. Zbl 1348.65181Lopez-Fernandez, Maria; Sauter, Stefan 7 2016 The panel-clustering method for the wave equation in two spatial dimensions. Zbl 1349.65414Falletta, Silvia; Sauter, Stefan A. 6 2016 Adaptive time discretization for retarded potentials. Zbl 1336.65159Sauter, S.; Veit, A. 6 2016 Numerical solution of a non-linear Volterra integral equation. Zbl 1333.65145Maleknejad, K.; Torabi, P.; Sauter, S. 2 2016 Estimates of the modeling error generated by homogenization of an elliptic boundary value problem. Zbl 1337.35033Repin, Sergey; Samrowski, Tatiana; Sauter, Stefan 1 2016 A posteriori error estimation of \(hp\)-dG finite element methods for highly indefinite Helmholtz problems. Zbl 1325.65147Sauter, S.; Zech, J. 10 2015 Generalized convolution quadrature with variable time stepping. II: Algorithm and numerical results. Zbl 1325.65184Lopez-Fernandez, Maria; Sauter, Stefan 7 2015 Fast and stable contour integration for high order divided differences via elliptic functions. Zbl 1311.65028Lopez-Fernandez, M.; Sauter, S. 6 2015 The intersection of bivariate orthogonal polynomials on triangle patches. Zbl 1309.65145Koornwinder, Tom H.; Sauter, Stefan A. 1 2015 Retarded boundary integral equations on the sphere: exact and numerical solution. Zbl 1292.65103Sauter, S.; Veit, A. 11 2014 Functional estimates for derivatives of the modified Bessel function \(K_0\) and related exponential functions. Zbl 1303.33004Falletta, Silvia; Sauter, Stefan A. 1 2014 General DG-methods for highly indefinite Helmholtz problems. Zbl 1292.65128Melenk, 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 1262.65125Sauter, Stefan A.; Veit, Alexander 17 2013 Generalized convolution quadrature with variable time stepping. Zbl 1283.65091Lopez-Fernandez, Maria; Sauter, Stefan 16 2013 Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge-Kutta convolution quadrature. Zbl 1279.78019Ballani, J.; Banjai, L.; Sauter, S.; Veit, A. 13 2013 A posteriori error estimation for highly indefinite Helmholtz problems. Zbl 1287.35002Dörfler, Willy; Sauter, Stefan 9 2013 Saturation estimates for \(hp\)-finite element methods. Zbl 1380.65359Bank, 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 1281.65145Repin, Sergey I.; Samrowski, Tatiana S.; Sauter, Stefan A. 2 2013 The AL basis for the solution of elliptic problems in heterogeneous media. Zbl 1250.65140Grasedyck, L.; Greff, I.; Sauter, S. 20 2012 Use of tensor formats in elliptic eigenvalue problems. Zbl 1274.35252Hackbusch, Wolfgang; Khoromskij, Boris N.; Sauter, Stefan; Tyrtyshnikov, Eugene E. 19 2012 Finite elements for elliptic problems with highly varying, nonperiodic diffusion matrix. Zbl 1264.65195Peterseim, D.; Sauter, S. 8 2012 Combined a posteriori modeling-discretization error estimate for elliptic problems with complicated interfaces. Zbl 1281.65144Repin, Sergey I.; Samrowski, Tatiana S.; Sauter, Stéfan A. 7 2012 Boundary element methods. Zbl 1215.65183Sauter, Stefan A.; Schwab, Christoph 236 2011 Wavenumber explicit convergence analysis for Galerkin discretizations of the Helmholtz equation. Zbl 1229.35038Melenk, J. M.; Sauter, S. 120 2011 3D composite finite elements for elliptic boundary value problems with discontinuous coefficients. Zbl 1237.65129Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole 9 2011 On the justification of plate models. Zbl 1237.74127Braess, Dietrich; Sauter, Stefan; Schwab, Christoph 8 2011 Finite element methods for the Stokes problem on complicated domains. Zbl 1230.76031Peterseim, Daniel; Sauter, Stefan A. 8 2011 Fast quadrature techniques for retarded potentials based on TT/QTT tensor approximation. Zbl 1283.65040Khoromskij, Boris; Sauter, Stefan; Veit, Alexander 7 2011 Lagrange multipliers in intrinsic elasticity. Zbl 1214.49030Ciarlet, 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 1205.65301Melenk, 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 1211.65149Sauter, S. 14 2010 Computable estimates of the modeling error related to Kirchhoff-Love plate model. Zbl 1200.35299Repin, Sergey; Sauter, Stefan 3 2010 A Lagrangian approach to intrinsic linearized elasticity. Zbl 1266.74006Ciarlet, 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 1426.74203Repin, Sergey; Sauter, Stefan A. 1 2010 Rapid solution of the wave equation in unbounded domains. Zbl 1191.35020Banjai, L.; Sauter, S. 52 2009 Sparse convolution quadrature for time domain boundary integral formulations of the wave equation. Zbl 1178.65121Hackbusch, W.; Kress, W.; Sauter, S. A. 30 2009 Numerical treatment of retarded boundary integral equations by sparse panel clustering. Zbl 1140.65071Kress, Wendy; Sauter, Stefan 13 2008 The composite mini element-coarse mesh computation of Stokes flows on complicated domains. Zbl 1235.76070Peterseim, Daniel; Sauter, Stefan A. 12 2008 Composite finite elements for 3D image based computing. Zbl 1512.65036Liehr, Florian; Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole 6 2008 Optimal panel-clustering in the presence of anisotropic mesh refinement. Zbl 1160.65062Graham, I. G.; Grasedyck, L.; Hackbusch, W.; Sauter, S. A. 1 2008 A refined Galerkin error and stability analysis for highly indefinite variational problems. Zbl 1138.65101Banjai, L.; Sauter, S. 24 2007 Sparse convolution quadrature for time domain boundary integral formulations of the wave equation by cutoff and panel-clustering. Zbl 1298.65185Hackbusch, Wolfgang; Kress, Wendy; Sauter, Stefan A. 15 2007 Two-sided a posteriori error estimates for mixed formulations of elliptic problems. Zbl 1185.35048Repin, Sergey; Sauter, Stefan; Smolianski, Anton 14 2007 Composite finite elements for elliptic boundary value problems with discontinuous coefficients. Zbl 1284.65173Sauter, S. A.; Warnke, R. 26 2006 Functional a posteriori estimates for the reaction-diffusion problem. Zbl 1100.65093Repin, Sergey; Sauter, Stefan 23 2006 A refined finite element convergence theory for highly indefinite Helmholtz problems. Zbl 1112.65103Sauter, S. A. 17 2006 On the acoustic single layer potential: stabilization and Fourier analysis. Zbl 1274.65336Buffa, A.; Sauter, S. 15 2006 Two-scale composite finite element method for Dirichlet problems on complicated domains. Zbl 1108.65118Rech, M.; Sauter, S.; Smolianski, A. 14 2006 Efficient numerical solution of Neumann problems on complicated domains. Zbl 1150.65029Nicaise, S.; Sauter, Stefan A. 5 2006 Coarsening of boundary-element spaces. Zbl 1092.65108Hackbusch, W.; Löhndorf, M.; Sauter, S. A. 2 2006 Finite elements on degenerate meshes: inverse-type inequalities and applications. Zbl 1076.65098Graham, I. G.; Hackbusch, W.; Sauter, S. A. 40 2005 BEM with linear complexity for the classical boundary integral operators. Zbl 1069.65131Börm, Steffen; Sauter, Stefan A. 8 2005 May the singular integrals in BEM be replaced by zero? Zbl 1071.65159Börm, S.; Krzebek, N.; Sauter, S. A. 2 2005 Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method. Zbl 1050.65110Dahmen, 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 1059.65108Sauter, Stefan; Schwab, Christoph 24 2004 A posteriori error analysis for elliptic PDEs on domains with complicated structures. Zbl 1049.65120Carstensen, Carsten; Sauter, Stefan A. 11 2004 A posteriori error estimation for the Poisson equation with mixed Dirichlet/Neumann boundary conditions. Zbl 1038.65114Repin, Sergey; Sauter, Stefan; Smolianski, Anton 10 2004 A posteriori estimation of dimension reduction errors for elliptic problems on thin domains. Zbl 1073.35072Repin, Sergey; Sauter, Stefan; Smolianski, Anton 7 2004 Algebraic algorithms for the analysis of mechanical trusses. Zbl 1079.74045Babuška, I.; Sauter, S. A. 4 2004 Efficient solution of lattice equations by the recovery method. I: Scalar elliptic problems. Zbl 1076.65097Babuška, 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 1128.35319Repin, S.; Sauter, S.; Smolianski, A. 23 2003 Bridging the gap between geometric and algebraic multi-grid methods. Zbl 1030.65126Feuchter, D.; Heppner, I.; Sauter, S. A.; Wittum, G. 7 2003 Fast cluster techniques for BEM. Zbl 1035.65142Krzebek, Nico; Sauter, Stefan 2 2003 Transformation of hypersingular integrals and black-box cubature. Zbl 0958.65123Sauter, S. A.; Lage, C. 14 2001 Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers? Zbl 0956.65095Babuska, Ivo M.; Sauter, Stefan A. 123 2000 On \({\mathcal H}^2\)-matrices. Zbl 0963.65043Hackbusch, W.; Khoromskij, B.; Sauter, S. A. 65 2000 Variable order panel clustering. Zbl 0959.65135Sauter, S. A. 30 2000 Hybrid Galerkin boundary elements: Theory and implementation. Zbl 0966.65091Graham, I. G.; Hackbusch, W.; Sauter, S. A. 7 2000 Discrete boundary element methods on general meshes in 3D. Zbl 0966.65090Graham, I. G.; Hackbusch, W.; Sauter, S. A. 5 2000 A panel clustering method for 3-D elastostatics using spherical harmonics. Zbl 1059.74555Hayami, K.; Sauter, S. A. 4 2000 Hybrid Galerkin boundary elements on degenerate meshes. Zbl 0937.65127Graham, I. G.; Hackbusch, W.; Sauter, S. A. 2 2000 Extension operators and approximation on domains containing small geometric details. Zbl 0927.65128Sauter, S. A.; Warnke, R. 16 1999 Efficient automatic quadrature in 3-D Galerkin BEM. Zbl 0943.65139Erichsen, Stefan; Sauter, Stefan A. 36 1998 A new finite element approach for problems containing small geometric details. Zbl 0912.65088Hackbusch, W.; Sauter, S. A. 5 1998 Panel clustering for 3-D elastostatics using spherical harmonics. Zbl 0924.73312Hayami, Ken; Sauter, Stefan A. 3 1998 Cost estimation of the panel clustering method applied to 3-D elastostatics. Zbl 0929.74119Hayami, Ken; Sauter, Stefan A. 3 1998 The panel clustering method in 3-D BEM. Zbl 0901.65070Sauter, Stefan A. 1 1998 Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers? Zbl 0894.65050Babuška, Ivo M.; Sauter, Stefan A. 158 1997 Composite finite elements for the approximation of PDEs on domains with complicated micro-structures. Zbl 0874.65086Hackbusch, W.; Sauter, S. A. 53 1997 Composite finite elements for problems containing small geometric details. II: Implementation and numerical results. Zbl 1001.65127Hackbusch, W.; Sauter, S. A. 30 1997 Quadrature for \(hp\)-Galerkin BEM in \(\mathbb{R}^3\). Zbl 0901.65069Sauter, Stefan A.; Schwab, Christoph 27 1997 ...and 12 more Documents all cited Publications top 5 cited Publications 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 all top 5 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. 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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 all top 5 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) 3 Several complex variables and analytic spaces (32-XX) 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) 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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