Edit Profile (opens in new tab) Sauter, Stefan A. Compute Distance To: Compute Author ID: sauter.stefan-a Published as: Sauter, Stefan A.; Sauter, S. A.; Sauter, Stefan; Sauter, S.; Sauter, Stéfan A. Homepage: http://www.math.uzh.ch/?professur&key1=105 External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 121 Publications since 1991, including 4 Books 3 Contributions as Editor Co-Authors: 67 Co-Authors with 105 Joint Publications 2,083 Co-Co-Authors all top 5 Co-Authors 10 single-authored 21 Hackbusch, Wolfgang 16 Repin, Sergeĭ Igorevich 8 Smolianski, Anton 7 Graham, Ivan G. 6 Babuška, Ivo 6 Schwab, Christoph 6 Veit, Alexander 5 López-Fernández, María 4 Ciarlet, Patrick jun. 4 Hayami, Ken 4 Khoromskiĭ, Boris Nikolaevich 3 Börm, Steffen 3 Ciarlet, Philippe Gaston 3 Kress, Wendy 3 Peterseim, Daniel 3 Samrowski, Tatiana S. 3 Torres, Céline 3 Warnke, R. 2 Carstensen, Carsten 2 Falletta, Silvia 2 Grasedyck, Lars 2 Grote, Marcus J. 2 Iosifescu, Oana 2 Krzebek, Nico 2 Parsania, Asieh 2 Wittum, Gabriel 2 Zou, Jun 1 Ballani, Jonas 1 Bank, Randolph E. 1 Braess, Dietrich 1 Buffa, Annalisa 1 Chipot, Michel 1 Dahmen, Wolfgang A. 1 Dörfler, Willibald 1 Dunkl, Charles F. 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 Löhndorf, Maike 1 Maleknejad, Khosrow 1 Mehlin, Michaela 1 Michel, Simon 1 Nedaiasl, Khadijeh 1 Nicaise, Serge 1 Nochetto, Ricardo Horacio 1 Paik, Ellen T. 1 Praetorius, Dirk 1 Preusser, Tobias 1 Rech, Mathias 1 Rumpf, Martin 1 Schwen, Lars Ole 1 Simian, Corina 1 Torabi, Parvin 1 Tyrtyshnikov, Evgeniĭ Evgen’evich 1 Vögeli, Urs 1 Weymuth, Monika 1 Wieners, Christian all top 5 Serials 13 Numerische Mathematik 12 SIAM Journal on Numerical Analysis 9 Mathematics of Computation 6 IMA Journal of Numerical Analysis 6 Computing 4 Computer Methods in Applied Mechanics and Engineering 4 SIAM Journal on Scientific Computing 4 Computing and Visualization in Science 4 Computational Methods in Applied Mathematics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 PAMM. Proceedings in Applied Mathematics and Mechanics 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) 2 Oberwolfach Reports 1 Computers & Mathematics with Applications 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 111 Numerical analysis (65-XX) 83 Partial differential equations (35-XX) 17 Mechanics of deformable solids (74-XX) 9 Integral equations (45-XX) 6 Fluid mechanics (76-XX) 4 Special functions (33-XX) 4 Approximations and expansions (41-XX) 3 General and overarching topics; collections (00-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Geophysics (86-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 103 Publications have been cited 1,756 times in 1,111 Documents Cited by ▼ Year ▼ Boundary element methods. Zbl 1215.65183Sauter, Stefan A.; Schwab, Christoph 180 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. 160 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. 134 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. 103 2000 Wavenumber explicit convergence analysis for Galerkin discretizations of the Helmholtz equation. Zbl 1229.35038Melenk, J. M.; Sauter, S. 88 2011 Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions. Zbl 1205.65301Melenk, J. M.; Sauter, S. 71 2010 On \({\mathcal H}^2\)-matrices. Zbl 0963.65043Hackbusch, W.; Khoromskij, B.; Sauter, S. A. 53 2000 Rapid solution of the wave equation in unbounded domains. Zbl 1191.35020Banjai, L.; Sauter, S. 48 2009 Composite finite elements for the approximation of PDEs on domains with complicated micro-structures. Zbl 0874.65086Hackbusch, W.; Sauter, S. A. 47 1997 General DG-methods for highly indefinite Helmholtz problems. Zbl 1292.65128Melenk, J. M.; Parsania, A.; Sauter, S. 44 2013 Finite elements on degenerate meshes: inverse-type inequalities and applications. Zbl 1076.65098Graham, I. G.; Hackbusch, W.; Sauter, S. A. 36 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. 34 2004 Efficient automatic quadrature in 3-D Galerkin BEM. Zbl 0943.65139Erichsen, Stefan; Sauter, Stefan A. 33 1998 Variable order panel clustering. Zbl 0959.65135Sauter, S. A. 29 2000 Composite finite elements for problems containing small geometric details. II: Implementation and numerical results. Zbl 1001.65127Hackbusch, W.; Sauter, S. A. 27 1997 Sparse convolution quadrature for time domain boundary integral formulations of the wave equation. Zbl 1178.65121Hackbusch, W.; Kress, W.; Sauter, S. A. 26 2009 Quadrature for \(hp\)-Galerkin BEM in \(\mathbb{R}^3\). Zbl 0901.65069Sauter, Stefan A.; Schwab, Christoph 24 1997 Composite finite elements for elliptic boundary value problems with discontinuous coefficients. Zbl 1284.65173Sauter, S. A.; Warnke, R. 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. 22 2003 On the efficient use of the Galerkin-method to solve Fredholm integral equations. Zbl 0791.65101Hackbusch, Wolfgang; Sauter, Stefan A. 21 1993 Boundary elements methods. Analysis, numerics and implementation of fast algorithms. (Randelementmethoden. Analyse, Numerik und Implementierung schneller Algorithmen.) Zbl 1059.65108Sauter, Stefan; Schwab, Christoph 20 2004 On numerical cubatures of nearly singular surface integrals arising in BEM collocation. Zbl 0799.65028Hackbusch, Wolfgang; Sauter, Stefan A. 20 1994 A refined Galerkin error and stability analysis for highly indefinite variational problems. Zbl 1138.65101Banjai, L.; Sauter, S. 19 2007 Functional a posteriori estimates for the reaction-diffusion problem. Zbl 1100.65093Repin, Sergey; Sauter, Stefan 19 2006 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 Use of tensor formats in elliptic eigenvalue problems. Zbl 1274.35252Hackbusch, Wolfgang; Khoromskij, Boris N.; Sauter, Stefan; Tyrtyshnikov, Eugene E. 17 2012 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 Extension operators and approximation on domains containing small geometric details. Zbl 0927.65128Sauter, S. A.; Warnke, R. 15 1999 Generalized convolution quadrature with variable time stepping. Zbl 1283.65091Lopez-Fernandez, Maria; Sauter, Stefan 14 2013 Two-sided a posteriori error estimates for mixed formulations of elliptic problems. Zbl 1185.35048Repin, Sergey; Sauter, Stefan; Smolianski, Anton 13 2007 Numerical treatment of retarded boundary integral equations by sparse panel clustering. Zbl 1140.65071Kress, Wendy; Sauter, Stefan 13 2008 The AL basis for the solution of elliptic problems in heterogeneous media. Zbl 1250.65140Grasedyck, L.; Greff, I.; Sauter, S. 13 2012 \(hp\)-finite elements for elliptic eigenvalue problems: Error estimates which are explicit with respect to \(\lambda, h\), and \(p\). Zbl 1211.65149Sauter, S. 12 2010 Transformation of hypersingular integrals and black-box cubature. Zbl 0958.65123Sauter, S. A.; Lage, C. 12 2001 On the acoustic single layer potential: stabilization and Fourier analysis. Zbl 1274.65336Buffa, A.; Sauter, S. 12 2006 Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge-Kutta convolution quadrature. Zbl 1279.78019Ballani, J.; Banjai, L.; Sauter, S.; Veit, A. 12 2013 Two-scale composite finite element method for Dirichlet problems on complicated domains. Zbl 1108.65118Rech, M.; Sauter, S.; Smolianski, A. 12 2006 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 11 1992 The composite mini element-coarse mesh computation of Stokes flows on complicated domains. Zbl 1235.76070Peterseim, Daniel; Sauter, Stefan A. 11 2008 Stability and finite element error analysis for the Helmholtz equation with variable coefficients. Zbl 1427.35016Graham, I. G.; Sauter, S. A. 11 2020 Retarded boundary integral equations on the sphere: exact and numerical solution. Zbl 1292.65103Sauter, S.; Veit, A. 11 2014 A refined finite element convergence theory for highly indefinite Helmholtz problems. Zbl 1112.65103Sauter, S. A. 10 2006 A posteriori error analysis for elliptic PDEs on domains with complicated structures. Zbl 1049.65120Carstensen, Carsten; Sauter, Stefan A. 10 2004 A posteriori error estimation for the Poisson equation with mixed Dirichlet/Neumann boundary conditions. Zbl 1038.65114Repin, Sergey; Sauter, Stefan; Smolianski, Anton 9 2004 On the justification of plate models. Zbl 1237.74127Braess, Dietrich; Sauter, Stefan; Schwab, Christoph 8 2011 On the effect of numerical integration in the Galerkin boundary element method. Zbl 0878.65104Sauter, S. A.; Krapp, A. 7 1996 A posteriori estimation of dimension reduction errors for elliptic problems on thin domains. Zbl 1073.35072Repin, Sergey; Sauter, Stefan; Smolianski, Anton 7 2004 Hybrid Galerkin boundary elements: Theory and implementation. Zbl 0966.65091Graham, I. G.; Hackbusch, W.; Sauter, S. A. 7 2000 Stability estimate for the Helmholtz equation with rapidly jumping coefficients. Zbl 1401.65139Sauter, Stefan; Torres, Céline 7 2018 Finite element methods for the Stokes problem on complicated domains. Zbl 1230.76031Peterseim, Daniel; Sauter, Stefan A. 7 2011 3D composite finite elements for elliptic boundary value problems with discontinuous coefficients. Zbl 1237.65129Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole 7 2011 Finite elements for elliptic problems with highly varying, nonperiodic diffusion matrix. Zbl 1264.65195Peterseim, D.; Sauter, S. 7 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 Saturation estimates for \(hp\)-finite element methods. Zbl 1380.65359Bank, Randolph E.; Parsania, Asieh; Sauter, Stefan 6 2013 Cubature techniques for 3-D Galerkin BEM. Zbl 0881.65107Sauter, Stefan A. 6 1996 Adaptive composite finite elements for the solution of PDEs containing non-uniformely distributed micro-scales. Zbl 0981.65513Hackbusch, W.; Sauter, S. A. 6 1996 BEM with linear complexity for the classical boundary integral operators. Zbl 1069.65131Börm, Steffen; Sauter, Stefan A. 6 2005 A posteriori error estimation of \(hp\)-dG finite element methods for highly indefinite Helmholtz problems. Zbl 1325.65147Sauter, S.; Zech, J. 6 2015 Adaptive time discretization for retarded potentials. Zbl 1336.65159Sauter, S.; Veit, A. 6 2016 Generalized convolution quadrature with variable time stepping. II: Algorithm and numerical results. Zbl 1325.65184Lopez-Fernandez, Maria; Sauter, Stefan 6 2015 Fast and stable contour integration for high order divided differences via elliptic functions. Zbl 1311.65028Lopez-Fernandez, M.; Sauter, S. 6 2015 Fast quadrature techniques for retarded potentials based on TT/QTT tensor approximation. Zbl 1283.65040Khoromskij, Boris; Sauter, Stefan; Veit, Alexander 6 2011 Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation. Zbl 1448.65160Grote, Marcus J.; Mehlin, Michaela; Sauter, Stefan A. 6 2018 Discrete boundary element methods on general meshes in 3D. Zbl 0966.65090Graham, I. G.; Hackbusch, W.; Sauter, S. A. 5 2000 Generalized convolution quadrature based on Runge-Kutta methods. Zbl 1348.65181Lopez-Fernandez, Maria; Sauter, Stefan 5 2016 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. 5 2016 A posteriori error estimation for highly indefinite Helmholtz problems. Zbl 1287.35002Dörfler, Willy; Sauter, Stefan 5 2013 Convolution quadrature for the wave equation with impedance boundary conditions. Zbl 1375.35395Sauter, S. A.; Schanz, M. 4 2017 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 Bridging the gap between geometric and algebraic multi-grid methods. Zbl 1030.65126Feuchter, D.; Heppner, I.; Sauter, S. A.; Wittum, G. 4 2003 Lagrange multipliers in intrinsic elasticity. Zbl 1214.49030Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Iosifescu, Oana; Sauter, Stefan; Zou, Jun 4 2011 A family of Crouzeix-Raviart finite elements in 3D. Zbl 1396.33020Ciarlet, Patrick jun.; Dunkl, Charles F.; Sauter, Stefan A. 4 2018 A fully discrete Galerkin method for Abel-type integral equations. Zbl 1402.65185Vögeli, Urs; Nedaiasl, Khadijeh; Sauter, Stefan A. 4 2018 The panel-clustering method for the wave equation in two spatial dimensions. Zbl 1349.65414Falletta, Silvia; Sauter, Stefan A. 4 2016 A new finite element approach for problems containing small geometric details. Zbl 0912.65088Hackbusch, W.; Sauter, S. A. 4 1998 Efficient numerical solution of Neumann problems on complicated domains. Zbl 1150.65029Nicaise, S.; Sauter, Stefan A. 3 2006 A panel clustering method for 3-D elastostatics using spherical harmonics. Zbl 1059.74555Hayami, K.; Sauter, S. A. 3 2000 Algebraic algorithms for the analysis of mechanical trusses. Zbl 1079.74045Babuška, I.; Sauter, S. A. 3 2004 Computable estimates of the modeling error related to Kirchhoff-Love plate model. Zbl 1200.35299Repin, Sergey; Sauter, Stefan 3 2010 Accuracy of mathematical models. Dimension reduction, homogenization, and simplification. Zbl 1481.35011Repin, Sergey I.; Sauter, Stefan A. 3 2020 Cost estimation of the panel clustering method applied to 3-D elastostatics. Zbl 0929.74119Hayami, Ken; Sauter, Stefan A. 3 1998 Fast cluster techniques for BEM. Zbl 1035.65142Krzebek, Nico; Sauter, Stefan 2 2003 Hybrid Galerkin boundary elements on degenerate meshes. Zbl 0937.65127Graham, I. G.; Hackbusch, W.; Sauter, S. A. 2 2000 May the singular integrals in BEM be replaced by zero? Zbl 1071.65159Börm, S.; Krzebek, N.; Sauter, S. A. 2 2005 Wavenumber-explicit hp-FEM analysis for Maxwell’s equations with transparent boundary conditions. Zbl 1460.35085Melenk, Jens M.; Sauter, Stefan A. 2 2021 The ILU method for finite-element discretizations. Zbl 0738.65084Sauter, Stefan 2 1991 Numerical solution of a non-linear Volterra integral equation. Zbl 1333.65145Maleknejad, K.; Torabi, P.; Sauter, S. 2 2016 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 Coarsening of boundary-element spaces. Zbl 1092.65108Hackbusch, W.; Löhndorf, M.; Sauter, S. A. 2 2006 Panel clustering for 3-D elastostatics using spherical harmonics. Zbl 0924.73312Hayami, Ken; Sauter, Stefan A. 2 1998 Realization of \(hp\)-Galerkin BEM in \(\mathbb{R}^ 3\). Zbl 0881.65115Sauter, Stefan A.; Schwab, Christoph 1 1996 On the efficient realization of sparse matrix techniques for integral equations with focus on panel clustering, cubature and software design aspects. Zbl 0884.65114Hackbusch, W.; Lage, C.; Sauter, S. A. 1 1997 Application of the panel clustering method to the three-dimensional elastostatic problem. Zbl 0916.73071Hayami, K.; Sauter, S. A. 1 1997 Efficient solution of lattice equations by the recovery method. I: Scalar elliptic problems. Zbl 1076.65097Babuška, I.; Sauter, S. A. 1 2004 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 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 Estimates of the modeling error generated by homogenization of an elliptic boundary value problem. Zbl 1337.35033Repin, Sergey; Samrowski, Tatiana; Sauter, Stefan 1 2016 The intersection of bivariate orthogonal polynomials on triangle patches. Zbl 1309.65145Koornwinder, Tom H.; Sauter, Stefan A. 1 2015 Functional estimates for derivatives of the modified Bessel function \(K_0\) and related exponential functions. Zbl 1303.33004Falletta, Silvia; Sauter, Stefan A. 1 2014 Wavenumber-explicit hp-FEM analysis for Maxwell’s equations with transparent boundary conditions. Zbl 1460.35085Melenk, Jens M.; Sauter, Stefan A. 2 2021 Stabilized leapfrog based local time-stepping method for the wave equation. Zbl 07390211Grote, Marcus J.; Michel, Simon; Sauter, Stefan A. 1 2021 Stability and finite element error analysis for the Helmholtz equation with variable coefficients. Zbl 1427.35016Graham, I. G.; Sauter, S. A. 11 2020 Accuracy of mathematical models. Dimension reduction, homogenization, and simplification. Zbl 1481.35011Repin, Sergey I.; Sauter, Stefan A. 3 2020 Stability estimate for the Helmholtz equation with rapidly jumping coefficients. Zbl 1401.65139Sauter, Stefan; Torres, Céline 7 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. 6 2018 A family of Crouzeix-Raviart finite elements in 3D. Zbl 1396.33020Ciarlet, Patrick jun.; Dunkl, Charles F.; Sauter, Stefan A. 4 2018 A fully discrete Galerkin method for Abel-type integral equations. Zbl 1402.65185Vögeli, Urs; Nedaiasl, Khadijeh; Sauter, Stefan A. 4 2018 Convolution quadrature for the wave equation with impedance boundary conditions. Zbl 1375.35395Sauter, S. A.; Schanz, M. 4 2017 A posteriori modelling-discretization error estimate for elliptic problems with \(L^\infty\)-coefficients. Zbl 1380.65391Weymuth, Monika; Sauter, Stefan; Repin, Sergey 1 2017 Adaptive time discretization for retarded potentials. Zbl 1336.65159Sauter, S.; Veit, A. 6 2016 Generalized convolution quadrature based on Runge-Kutta methods. Zbl 1348.65181Lopez-Fernandez, Maria; Sauter, Stefan 5 2016 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. 5 2016 The panel-clustering method for the wave equation in two spatial dimensions. Zbl 1349.65414Falletta, Silvia; Sauter, Stefan A. 4 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. 6 2015 Generalized convolution quadrature with variable time stepping. II: Algorithm and numerical results. Zbl 1325.65184Lopez-Fernandez, Maria; Sauter, Stefan 6 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. 44 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 14 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. 12 2013 Saturation estimates for \(hp\)-finite element methods. Zbl 1380.65359Bank, Randolph E.; Parsania, Asieh; Sauter, Stefan 6 2013 A posteriori error estimation for highly indefinite Helmholtz problems. Zbl 1287.35002Dörfler, Willy; Sauter, Stefan 5 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 Use of tensor formats in elliptic eigenvalue problems. Zbl 1274.35252Hackbusch, Wolfgang; Khoromskij, Boris N.; Sauter, Stefan; Tyrtyshnikov, Eugene E. 17 2012 The AL basis for the solution of elliptic problems in heterogeneous media. Zbl 1250.65140Grasedyck, L.; Greff, I.; Sauter, S. 13 2012 Finite elements for elliptic problems with highly varying, nonperiodic diffusion matrix. Zbl 1264.65195Peterseim, D.; Sauter, S. 7 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 180 2011 Wavenumber explicit convergence analysis for Galerkin discretizations of the Helmholtz equation. Zbl 1229.35038Melenk, J. M.; Sauter, S. 88 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. 7 2011 3D composite finite elements for elliptic boundary value problems with discontinuous coefficients. Zbl 1237.65129Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole 7 2011 Fast quadrature techniques for retarded potentials based on TT/QTT tensor approximation. Zbl 1283.65040Khoromskij, Boris; Sauter, Stefan; Veit, Alexander 6 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. 71 2010 \(hp\)-finite elements for elliptic eigenvalue problems: Error estimates which are explicit with respect to \(\lambda, h\), and \(p\). Zbl 1211.65149Sauter, S. 12 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. 48 2009 Sparse convolution quadrature for time domain boundary integral formulations of the wave equation. Zbl 1178.65121Hackbusch, W.; Kress, W.; Sauter, S. A. 26 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. 11 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. 19 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 13 2007 Composite finite elements for elliptic boundary value problems with discontinuous coefficients. Zbl 1284.65173Sauter, S. A.; Warnke, R. 23 2006 Functional a posteriori estimates for the reaction-diffusion problem. Zbl 1100.65093Repin, Sergey; Sauter, Stefan 19 2006 On the acoustic single layer potential: stabilization and Fourier analysis. Zbl 1274.65336Buffa, A.; Sauter, S. 12 2006 Two-scale composite finite element method for Dirichlet problems on complicated domains. Zbl 1108.65118Rech, M.; Sauter, S.; Smolianski, A. 12 2006 A refined finite element convergence theory for highly indefinite Helmholtz problems. Zbl 1112.65103Sauter, S. A. 10 2006 Efficient numerical solution of Neumann problems on complicated domains. Zbl 1150.65029Nicaise, S.; Sauter, Stefan A. 3 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. 36 2005 BEM with linear complexity for the classical boundary integral operators. Zbl 1069.65131Börm, Steffen; Sauter, Stefan A. 6 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. 34 2004 Boundary elements methods. Analysis, numerics and implementation of fast algorithms. (Randelementmethoden. Analyse, Numerik und Implementierung schneller Algorithmen.) Zbl 1059.65108Sauter, Stefan; Schwab, Christoph 20 2004 A posteriori error analysis for elliptic PDEs on domains with complicated structures. Zbl 1049.65120Carstensen, Carsten; Sauter, Stefan A. 10 2004 A posteriori error estimation for the Poisson equation with mixed Dirichlet/Neumann boundary conditions. Zbl 1038.65114Repin, Sergey; Sauter, Stefan; Smolianski, Anton 9 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. 3 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. 22 2003 Bridging the gap between geometric and algebraic multi-grid methods. Zbl 1030.65126Feuchter, D.; Heppner, I.; Sauter, S. A.; Wittum, G. 4 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. 12 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. 103 2000 On \({\mathcal H}^2\)-matrices. Zbl 0963.65043Hackbusch, W.; Khoromskij, B.; Sauter, S. A. 53 2000 Variable order panel clustering. Zbl 0959.65135Sauter, S. A. 29 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. 3 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. 15 1999 Efficient automatic quadrature in 3-D Galerkin BEM. Zbl 0943.65139Erichsen, Stefan; Sauter, Stefan A. 33 1998 A new finite element approach for problems containing small geometric details. Zbl 0912.65088Hackbusch, W.; Sauter, S. A. 4 1998 Cost estimation of the panel clustering method applied to 3-D elastostatics. Zbl 0929.74119Hayami, Ken; Sauter, Stefan A. 3 1998 Panel clustering for 3-D elastostatics using spherical harmonics. Zbl 0924.73312Hayami, Ken; Sauter, Stefan A. 2 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. 134 1997 Composite finite elements for the approximation of PDEs on domains with complicated micro-structures. Zbl 0874.65086Hackbusch, W.; Sauter, S. A. 47 1997 Composite finite elements for problems containing small geometric details. II: Implementation and numerical results. Zbl 1001.65127Hackbusch, W.; Sauter, S. A. 27 1997 Quadrature for \(hp\)-Galerkin BEM in \(\mathbb{R}^3\). Zbl 0901.65069Sauter, Stefan A.; Schwab, Christoph 24 1997 On the efficient realization of sparse matrix techniques for integral equations with focus on panel clustering, cubature and software design aspects. Zbl 0884.65114Hackbusch, W.; Lage, C.; Sauter, S. A. 1 1997 Application of the panel clustering method to the three-dimensional elastostatic problem. Zbl 0916.73071Hayami, K.; Sauter, S. A. 1 1997 On the effect of numerical integration in the Galerkin boundary element method. Zbl 0878.65104Sauter, S. A.; Krapp, A. 7 1996 Cubature techniques for 3-D Galerkin BEM. Zbl 0881.65107Sauter, Stefan A. 6 1996 Adaptive composite finite elements for the solution of PDEs containing non-uniformely distributed micro-scales. Zbl 0981.65513Hackbusch, W.; Sauter, S. A. 6 1996 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 Realization of \(hp\)-Galerkin BEM in \(\mathbb{R}^ 3\). Zbl 0881.65115Sauter, Stefan A.; Schwab, Christoph 1 1996 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. 160 1995 On numerical cubatures of nearly singular surface integrals arising in BEM collocation. Zbl 0799.65028Hackbusch, Wolfgang; Sauter, Stefan A. 20 1994 ...and 3 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,437 Authors 56 Sauter, Stefan A. 36 Praetorius, Dirk 31 Repin, Sergeĭ Igorevich 26 Melenk, Jens Markus 20 Spence, Euan A. 19 Börm, Steffen 18 Hiptmair, Ralf 15 Feischl, Michael 15 Khoromskiĭ, Boris Nikolaevich 14 Hackbusch, Wolfgang 14 Karkulik, Michael 14 Perugia, Ilaria 14 Sayas, Francisco-Javier 13 Führer, Thomas 13 Lin, Tao 13 Monk, Peter B. 13 Peterseim, Daniel 12 Graham, Ivan G. 12 Harari, Isaac 12 Harbrecht, Helmut 12 Qian, Jianliang 10 Babuška, Ivo 10 Banjai, Lehel 10 Houston, Paul 10 Schanz, Martin 10 Steinbach, Olaf 10 Wu, Haijun 9 Aimi, Alessandra 9 Barnett, Alex H. 9 Carstensen, Carsten 9 Chai, Yingbin 9 Chandler-Wilde, Simon N. 9 Claeys, Xavier 9 Gander, Martin Jakob 9 Of, Günther 8 Antonietti, Paola Francesca 8 Demkowicz, Leszek F. 8 Diligenti, Mauro 8 Du, Yu 8 Falletta, Silvia 8 Giani, Stefano 8 He, Xiaoming 8 Lin, Yanping 8 Luo, Songting 8 Turkel, Eli L. 8 Wu, Tingting 8 Zhang, Zhimin 7 Aurada, Markus 7 Dolean, Victorita 7 Farhat, Charbel H. 7 Georgoulis, Emmanuil H. 7 Heuer, Norbert 7 Ladevèze, Pierre 7 Li, Wei 7 Martinsson, Per-Gunnar 7 Moiola, Andrea 7 Rieder, Alexander 7 Schmidt, Kersten 7 Schwab, Christoph 7 Tsynkov, Semyon V. 7 Zapletal, Jan 6 Barucq, Hélène 6 Betcke, Timo 6 Burridge, Robert 6 Chaumont-Frelet, Théophile 6 Ciarlet, Patrick jun. 6 Desmet, Wim 6 Dutra do Carmo, Eduardo Gomes 6 Ferraz-Leite, Samuel 6 Gatica, Gabriel N. 6 Grasedyck, Lars 6 Haberl, Alexander 6 Li, Zi-Cai 6 Lubich, Christian 6 Meddahi, Salim 6 Merta, Michal 6 Monegato, Giovanni 6 Scuderi, Letizia 6 Vohralík, Martin 6 Vuik, Cornelis 6 Ying, Lexing 6 Zhu, Lingxue 5 Bebendorf, Mario 5 Bonnet, Marc 5 Bruno, Oscar P. 5 Cangiani, Andrea 5 Cheng, Dongsheng 5 Ciarlet, Philippe Gaston 5 Díez, Pedro 5 Djellouli, Rabia 5 Faustmann, Markus 5 Gantner, Gregor 5 Gedicke, Joscha 5 Gimperlein, Heiko 5 Greengard, Leslie F. 5 Grote, Marcus J. 5 Jerez-Hanckes, Carlos 5 Korotov, Sergey 5 Lechleiter, Armin 5 Loula, Abimael Fernando Dourado ...and 1,337 more Authors all top 5 Cited in 137 Serials 103 Computer Methods in Applied Mechanics and Engineering 83 Journal of Computational Physics 76 Numerische Mathematik 63 Engineering Analysis with Boundary Elements 59 Computers & Mathematics with Applications 56 Journal of Computational and Applied Mathematics 36 Mathematics of Computation 36 Applied Numerical Mathematics 35 Journal of Scientific Computing 32 SIAM Journal on Scientific Computing 28 SIAM Journal on Numerical Analysis 24 International Journal for Numerical Methods in Engineering 19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 17 Applied Mathematics and Computation 16 BIT 16 Computational Mechanics 16 Advances in Computational Mathematics 15 Computing 15 Numerical Methods for Partial Differential Equations 14 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 13 Computational Methods in Applied Mathematics 12 Numerical Algorithms 12 Multiscale Modeling & Simulation 10 Wave Motion 10 Applied Mathematical Modelling 10 Communications in Computational Physics 9 Mathematical Methods in the Applied Sciences 9 SIAM Journal on Matrix Analysis and Applications 9 SIAM Journal on Mathematical Analysis 9 Journal of Computational Acoustics 8 Journal of Mathematical Analysis and Applications 7 Computing and Visualization in Science 7 Archives of Computational Methods in Engineering 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Calcolo 6 Integral Equations and Operator Theory 6 Numerical Linear Algebra with Applications 5 Applications of Mathematics 5 Computational Mathematics and Mathematical Physics 5 Journal of Numerical Mathematics 4 Applicable Analysis 4 Journal of Elasticity 4 Journal of Mathematical Sciences (New York) 4 Computational and Applied Mathematics 4 Foundations of Computational Mathematics 4 International Journal of Numerical Analysis and Modeling 4 SIAM/ASA Journal on Uncertainty Quantification 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 Journal of Integral Equations and Applications 3 International Journal of Computer Mathematics 3 International Journal of Computational Methods 3 International Journal for Computational Methods in Engineering Science and Mechanics 3 SN Partial Differential Equations and Applications 2 Computer Physics Communications 2 International Journal for Numerical Methods in Fluids 2 Inverse Problems 2 ACM Transactions on Mathematical Software 2 Journal of Differential Equations 2 SIAM Journal on Control and Optimization 2 Constructive Approximation 2 SIAM Review 2 ETNA. Electronic Transactions on Numerical Analysis 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Mathematical Problems in Engineering 2 Vietnam Journal of Mathematics 2 Computational Geosciences 2 Engineering Computations 2 Differential Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Analysis and Applications (Singapore) 2 Advances in Difference Equations 2 Oberwolfach Reports 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 Pure and Applied Analysis 1 Acta Mechanica 1 Archive for Rational Mechanics and Analysis 1 Journal of Fluid Mechanics 1 Moscow University Physics Bulletin 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 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 1 Advances in Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 ACM Transactions on Graphics 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Computational Mathematics and Modeling 1 Japan Journal of Industrial and Applied Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Archive of Applied Mechanics ...and 37 more Serials all top 5 Cited in 38 Fields 941 Numerical analysis (65-XX) 529 Partial differential equations (35-XX) 185 Fluid mechanics (76-XX) 154 Mechanics of deformable solids (74-XX) 137 Optics, electromagnetic theory (78-XX) 50 Integral equations (45-XX) 33 Approximations and expansions (41-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 14 Potential theory (31-XX) 13 Operator theory (47-XX) 13 Geophysics (86-XX) 12 Ordinary differential equations (34-XX) 12 Biology and other natural sciences (92-XX) 10 Classical thermodynamics, heat transfer (80-XX) 10 Quantum theory (81-XX) 8 Probability theory and stochastic processes (60-XX) 8 Computer science (68-XX) 7 Functional analysis (46-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Systems theory; control (93-XX) 6 Real functions (26-XX) 5 Special functions (33-XX) 5 Integral transforms, operational calculus (44-XX) 5 Statistics (62-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 General and overarching topics; collections (00-XX) 3 Functions of a complex variable (30-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Combinatorics (05-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Differential geometry (53-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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