Prof. Dr. Stefan Sauter

Forschung

Der Aufwand zur Behandlung von Integralgleichungen wird vor allem durch die Generierung und Lösung der vollbesetzten Systemmatrix bestimmt. Ein Forschungsschwerpunkt der Arbeitsgruppe Numerik ist die Entwicklung spezieller numerischer Integrationstechniken zur Reduzierung der Komplexität für die Erzeugung der Matrixelemente. Alternative Darstellungen diskreter Integraloperatoren (Panel-Clustering) reduzieren den Speicher- und Rechenbedarf zur numerischen Behandlung von Integralgleichungen von O(N²) (N=Anzahl der Freiheitsgrade) auf O(N log N) bzw. O(N). Die Weiterentwicklung dieser Technik und Anwendung auf praktische Probleme (Geodäsie, Populationsdynamik, Strömungsmechanik, ...) bildet einen weiteren Forschungsschwerpunkt der Arbeitsgruppe.

Die Entwicklung mehrskaliger Diskretisierungen für Randwertprobleme auf komplizierten Gebieten (z.B. Gewässern) oder mit komplizierten Koeffizienten steht im Mittelpunkt der aktuellen Forschung in der Arbeitsgruppe. Stichworte hierzu sind: Composite Finite Elements, Mehrgitterverfahren und Vergröberungsoperatoren. Bei der Bewertung der Verfahren ist auch die Frage nach geeigneten Implementierungen ein wesentlicher Punkt. Erkenntnisse aus der Analysis und der Informatik spielen für die Entwicklung dieser numerischen Verfahren eine wichtige Rolle.

Publikationen

Benedikt Grässle, Stefan Sauter (2025). Dirichlet-to-Neumann operator for the Helmholtz problem with general wavenumbers on the n-sphere. (submitted 2025)

Bouchra Bensiali, Stefan Sauter (2025). Computation of whispering gallery modes for spherical symmetric heterogeneous Helmholtz problems with piecewise smooth refractive index. (submitted 2025)

Silvia Falletta, Stefan Sauter (2025). A spectral boundary element method for acoustic interference problems. (submitted 2025)

Nis-Erik Bohne, Benedikt Grässle, Stefan Sauter (2024). Pressure-improved Scott-Vogelius type elements. Calcolo, Vol. 62, pp. 1126-5434, (2024) link,

Marcus Grote, Simon Michel, Stefan Sauter (2024). Explicit Local Time-Stepping for the Inhomogeneous Wave Equation with Optimal Convergence. (submitted 2024)

Chuhe Lin, Jens Markus Melenk, Stefan Sauter (2024). The Green’s function for an acoustic, half-space impedance problem. Part II: Analysis of the slowly varying and the plane wave component.. (submitted 2024)

Chuhe Lin, Jens Markus Melenk, Stefan Sauter (2024). The Green’s function for an acoustic half-space problem with impedance boundary conditions. Part I: Representation formula. appeared with new title "An Explicit Factorization of the Green's Function for an Acoustic Half-Space Problem with Impedance Boundary Conditions into an Oscillatory Exponential and a Slowly Varying Function" in
Math. Meth. Appl. Sci. 2025 (online first) link, . 10.1002/mma.11064

Nis-Erik Bohne, Patrick Ciarlet, Jr., Stefan Sauter (2024). Crouzeix-Raviart elements on simplicial meshes in d dimensions. (submitted 2024),

Francesco Florian, Ralf Hiptmair, Stefan Sauter (2024). Skeleton Integral Equations for Acoustic Transmission Problems with Varying Coefficients. SIAM J. Math. Anal., Vol. 56, No. 5, pp. 6232-6267 (2024) link,

Benedikt Grässle, Nis-Erik Bohne, Stefan Sauter (2022). The pressure-wired Stokes element: a mesh-robust version of the Scott-Vogelius element. Numerische Mathematik, online first (Aug. 2024) link,

Jens Markus Melenk, Stefan Sauter (2022). Wavenumber-explicit hp-FEM analysis for Maxwell's equations with impedance boundary conditions. Foundations of Computational Mathematics, online first (Nov. 2023) link,

Stefan Sauter (2022). The inf-sup constant for hp-Crouzeix-Raviart triangular elements . Comput. Math. Appl., no. 149, pp. 49-70(2023) link,

Stefan Sauter, Céline Torres (2022). On the Inf-Sup Stabillity of Crouzeix-Raviart Stokes Elements in 3D. Math Comp 92, no. 341, 1033-1059(2022) link,

Carsten Carstensen, Stefan Sauter (2022). Crouzeix-Raviart triangular elements are inf-sup stable. MathComp 91, pp. 2041-2057(2022)

Carsten Carstensen, Stefan Sauter (2021). Critical Functions and Inf-Sup Stability of Crouzeix-Raviart Elements. Computers & Mathematics with Applications, 108:12-23(2022) link,

Maximilian Bernkopf, Stefan Sauter, Céline Torres, Alexander Veit (2021). Solvability of Discrete Helmholtz Equations. IMA Journal of Numerical Analysis, Vol. 43, Issue 3, pp. 1802–1830 (May 2023) link,

Marcus Grote, Simon Michel, Stefan Sauter (2020). Stabilized leapfrog based local time-stepping method for the wave equation. Math. Comp. 90, pp. 2603-2643(2021) link,

Michel Chipot, Wolfgang Hackbusch, Stefan Sauter, Alexander Veit (2018). Numerical approximation of Poisson problems in long domains. Vietnam Journal of Mathematics, pp. 1-19(2021) link,

Steffen Börm, María López Fernández, Stefan Sauter (2019). Variable Order, Directional H^2-Matrices for Helmholtz Problems with Complex Frequency. IMA Journal of Numerical Analysis, Vol. 41, Issue 4, pp. 2896–2935 (October 2021) link,

Jens Markus Melenk, Stefan Sauter (2018). Wavenumber-explicit hp-FEM analysis for Maxwell's equations with transparent boundary conditions. Foundations of Computational Mathematics, 21, pp. 125–241(2021) link,

Sarah Eberle, Francesco Florian, Ralf Hiptmair, Stefan Sauter (2019). A Stable Boundary Integral Formulation of an Acoustic Wave Transmission Problem with Mixed Boundary Conditions. SIAM J. Math. Anal., Vol. 53(2), pp. 1492–1508(2021) link,

Stefan Sauter, Céline Torres (2020). The Heterogeneous Helmholtz Problem with Spherical Symmetry: Green's Operator and Stability Estimates. Asymptotic Analysis, Vol. 125, no. 3-4, pp. 289-325(2021) link,

Jens Markus Melenk, Stefan Sauter, Céline Torres (2019). Wavenumber Explicit Analysis for Galerkin Discretizations of Lossy Helmholtz Problems. SIAM J. Numer. Anal., 58(4), 2119 - 2143(2020) link,

Sergey I. Repin, Stefan Sauter (2020). Accuracy of Mathematical Models.
Dimension Reduction, Homogenization, and Simplification. Book, pp. 317, EMS (2020)

Rebekka Klara Gasser, Joscha Gedicke, Stefan Sauter (2019). Benchmark computation of eigenvalues with large defect for non-selfadjoint elliptic differential operators. SIAM J. Sci. Comput., 41(6), A3938–A3953 (2019) link,

I. G. Graham, Stefan Sauter (2018). Stability and error analysis for the Helmholtz equation with variable coefficients. Mathematics of Computation, Vol. 89(321), pp. 105–138 (2019) link,

Stefan Sauter, Céline Torres (2017). Stability estimate for the Helmholtz equation with rapidly jumping coefficients . Zeitschrift für Angewante Mathematik und Physik (ZAMP), 69:139 (2018) link,

Urs Vögeli, Khadijeh Nedaiasl, Stefan Sauter (2016). A Fully Discrete Galerkin Method for Abel-type Integral Equations. Adv. Comput Math., Vol. 44(5), pp. 1601 - 1626 (2018) link,

Marcus Grote, Michaela Mehlin, Stefan Sauter (2017). Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation. SIAM J. Numer. Anal., 56(2), 994 – 1021 (2018) link,

Patrick Ciarlet, Jr., Charles F. Dunkl, Stefan Sauter (2017). A Family of Crouzeix-Raviart Finite Elements in 3D. Analysis and Applications, Vol 16(05), pp. 649 - 691 (2018) link,

Stefan Sauter, Martin Schanz (2016). Convolution Quadrature for the Wave Equation with Impedance Boundary Conditions. Journal of Computational Physics, Vol 334, pp. 442 - 459 (2017) link , [pdf]

Monika Weymuth, Stefan Sauter, Sergey I. Repin (2017). A Posteriori Modelling-Discretization Error Estimate for Elliptic Problems with L∞-Coefficients . Comput. Methods Appl. Math. Vol. 17(3), pp. 515 - 531 (2017) link,

Dominik Pölz, Stefan Sauter, Martin Schanz (2016). Convolution Quadrature based BEM in acoustics for absorbing boundary conditions. Proceedings in Applied Mathematics and Mechanics (PAMM),
Vol 16 (1), pp. 23 - 26 (2016) link, [pdf]

Khosrow Maleknejad, Parvin Torabi, Stefan Sauter (2014). Numerical Solution of a Non-Linear Volterra Integral Equation. Vietnam Journal of Mathematics, 44 (1), pp. 5 - 28 (2016) link, . 10.1007/s10013-015-0149-8 [pdf]

Silvia Falletta, Stefan Sauter (2014). The Panel-Clustering Method for the Wave Equation in Two Spatial Dimensions. J. of Computational Physics, 305 (C), pp. 217 - 243 (2016) link, [pdf]

Stefan Sauter, María López Fernández (2014). Generalized Convolution Quadrature based on Runge-Kutta Methods. Numerische Mathematik, 133 (4), pp. 734 - 779 (2016) link, [pdf]

Stefan Sauter, Alexander Veit (2015). Adaptive Time Discretization for Retarded Potentials. Numerische Mathematik, 132(3), pp. 569 - 595 (2016) link,

Stefan Sauter, Philippe G. Ciarlet, Patrick Ciarlet, Jr., Corina Simian (2012). Intrinsic Finite Element Methods for theComputation of Fluxes for Poisson’s Equation. Numerische Mathematik, 132 (3), pp. 433 - 462 (2016) link, [pdf]

Stefan Sauter, Tatiana Samrowski, Sergey I. Repin (2012). Estimates of the modeling error generated by homogenization of an elliptic boundary value problem. J. Numerical Mathematics, Vol 24(1), pp. 1 - 15 (2016) link, [pdf]

Stefan Sauter, Jakob Zech (2014). A Posteriori Error Estimation of HP-DG finite Element Methods for highly indefinite Helmholtz Problems. SIAM, J. Numer. Anal., 53 (5), pp. 2414 - 2440 (2015) link,

Stefan Sauter, Asieh Parsania, Randolph Bank (2014). Saturation Estimates for hp-Finite Element Methods. Computing and Visualization in Science, Vol 16 (5), pp. 195 - 217 (2015) link, [pdf]

Stefan Sauter, Tom Koornwinder (2015). The Intersection of Bivariate Orthogonal Polynomials on Triangle Patches. Mathematics of Computation, 84(294), pp. 1795 - 1812 (2015) link,

Stefan Sauter, María López Fernández (2012). Generalized Convolution Quadrature with Variable Time Stepping.Part II: Algorithm and Numerical Results. Applied Numerical Mathematics, 94, pp. 88 - 105 (2015) link, [pdf]

Stefan Sauter, María López Fernández (2012). Fast and Stable Contour Integration for High Order Divided Differences via Elliptic Functions. Math. Comp. 84, pp. 1291 - 1315 (2015) link, [pdf]

Silvia Falletta, Stefan Sauter (2014). Functional Estimates for Derivatives of the Modified Bessel Function K_0 and related Exponential Functions. J. Math. Anal. Appl., 417 (2), pp. 559 - 579 (2014) link,

Stefan Sauter, Asieh Parsania, Jens Markus Melenk (2012). Generalized DG Methods for Highly Indefinite Helmholtz Problems Based on the Ultra-Weak Variational Formulation. Published with new title: "General DG-Methods for Highly Indefinite Helmholtz Problems";
J Sci Comput, 57(3), pp. 536 - 581 (2013) link, [pdf]

Stefan Sauter, Tatiana Samrowski, Sergey I. Repin (2013). A Posteriori Error Majorants of the Modelling Errors for Elliptic Homogenization Problems. Comptes Rendus Mathématiques, 351 (23-24), pp. 877 - 882 (2013) link, [pdf]

Stefan Sauter, María López Fernández (2011). A Generalized Convolution Quadrature with Variable Time Stepping. IMA J. Numer. Anal., Vol 33(4), pp. 1156 - 1175 (2013) link, [pdf]

Stefan Sauter, Lehel Banjai, Jonas Ballani, Alexander Veit (2011). Numerical Solution of Exterior Maxwell Problems by Galerkin BEM and Runge-Kutta Convolution Quadrature. Numer. Math., Vol 123(4), pp. 643 - 670 (2013) link, [pdf]

Stefan Sauter, Willy Dörfler (2011). A Posteriori Error Estimation for Highly Indefinite Helmholtz Problems. Comp. Meth. Appl. Math., Vol 13(3), pp. 333 - 347 (2013) link, [pdf]

Stefan Sauter, Alexander Veit (2013). Exact Solutions of Retarded Boundary Integral Equations: Implementation and Examples.
Revised version with new title: A Galerkin Method for Retarded Boundary Integral Equations with Smooth and Compactly Supported Temporal Basis Functions. Part II: Implementation and Reference Solutions. Numer. Math., Vol 123(1), pp. 145 - 176 (2013) [pdf]

Stefan Sauter, Alexander Veit (2011). A Galerkin Method for Retarded Boundary Integral Equations with Smooth and Compactly Supported Temporal Basis Functions. Numer. Math., Vol 123(1), pp. 145 - 176 (2013) link, [pdf]

Stefan Sauter (2012). A Posteriori Error Estimation for Elliptic PartialDifferential Equations.Lecture Notes of the Zürich Summerschool 2012.. Preprint 11-2012, University of Zurich (2012) [pdf]

Stefan Sauter, Lehel Banjai (2012). Frequency Explicit Regularity Estimates for the Electric Field Integral Operator. Preprint 05-2012, University of Zurich (2012) [pdf]

Stefan Sauter, Sergey I. Repin, Tatiana Samrowski (2010). Combined a posteriori modelling-discretization error estimate for elliptic problems with variable coefficients. ESAIM: Math. Model. Numer. Anal., Vol 46, pp. 1389 - 1405 (2012) link, [pdf]

Stefan Sauter, Isabelle Greff, Lars Grasedyck (2011). The AL Basis for the solution of elliptic problems in heterogeneous media. SIAM J. Mulatiscale Model. Simul., Vol 10(1), pp. 245 - 258 (2012) link, [pdf]

Stefan Sauter, Daniel Peterseim (2010). Error Estimates for Finite ElementDiscretizations of Elliptic Problems withOscillatory Coefficients. appeared with new title: Finite Elements for Elliptic Problems with Highly Varying, Nonperiodic Diffusion Matrix
SIAM, Multiscale Model. Simul. Vol 10(3), pp. 665 - 695 (2012) link, [pdf]

Wolfgang Hackbusch, Boris N. Khoromskij, Stefan Sauter, Eugene E. Tyrtyshnikov (2008). Use of Tensor Formats in Elliptic Eigenvalue Problems. Num. Lin. Alg. Appl. Vol 19(1), pp. 133 - 151 (2012) link, [pdf]

Stefan Sauter, Boris N. Khoromskij, Alexander Veit (2011). Fast Quadrature Techniques for Retarded Potentials Based on TT/QTT Tensor Approximation. Computational Methods in Applied Mathematics, Vol 11(3), pp. 342 - 362 (2011) link, [pdf]

Stefan Sauter, Christoph Schwab (2011). Boundary Element Methods. Book, pp. 561, Springer (2011)

Stefan Sauter, Tobias Preusser, Martin Rumpf, Ole Schwen (2010). 3D composite finite elements for elliptic boundary value problems with discontinuous coefficients. SIAM Journal on Scientific Computing, Vol 33(5), pp 2115 - 2143 (2011) link, [pdf]

Jens Markus Melenk, Stefan Sauter (2011). Wave-Number Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation
SIAM J. Numer. Anal., Vol 49, pp. 1210 - 1243 (2011); extended version link,

Philippe G. Ciarlet, Patrick Ciarlet, Jr., Oana Iosifescu, Stefan Sauter, Jun Zou (2011). Lagrange multipliers in intrinsic elasticity. Math. Mod. Meth. Appl. Sci. (M3AS). Vol 21(4), pp. 651-666 (2011) link

Stefan Sauter, Christoph Schwab, Dietrich Braess (2009). On the Justification of Plate Models. Journal of Elasticity, Vol 103(1), pp. 53-71 (2011) link, [pdf]

Stefan Sauter, Daniel Peterseim (2009). Finite element methods for the Stokes problem on complicated domains. Comput. Methods Appl. Mech. Engrg. Vol 200(33-36), pp. 2611 - 2623 (2011) link, [pdf]

Stefan Sauter, Sergey I. Repin (2010). Estimates of the modeling error for the Kirchhoff-Love plate model. Comptes Rendus Mathematique, 348(17-18), 1039 - 1043 (2010) link

Philippe G. Ciarlet, Patrick Ciarlet, Jr., Oana Iosifescu, Stefan Sauter, Jun Zou (2010). A Lagrangian approach to intrinsic linearized elasticity. Comptes Rendus Mathematique, Ser. I, 348(9-10), 587 - 592 (2010) link

Stefan Sauter, Jens Markus Melenk (2008). Convergence Analysis for Finite Element Discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions. Mathematics of Computation, Vol 79(272), pp. 1871 - 1914 (2010) link, [pdf]

Sergey I. Repin, Stefan Sauter (2009). Computable estimates of the modeling error related to Kirchhoff-Love plate model. Analysis and Applications (AA), Vol. 8(4), pp. 409 - 428 (2010) link, [pdf]

Stefan Sauter (2007). Finite Elements for Elliptic Eigenvalue Problems: Error estimates which are explicit with respect to $\lambda$, h and p. SIAM J. Numer. Anal., Vol. 48(1), pp. 95 - 108 (2010) link, [pdf]

Martin Rumpf, Tobias Preusser, Ole Schwen, F. Lihr, Stefan Sauter (2007). Composite Finite Elements for 3D Image Based Computing. Computing and Visualization in Sciences, Vol 12(4), pp. 171 – 188 (2009) link, [pdf]

Stefan Sauter, Wolfgang Hackbusch, W. Kress (2005). Sparse Convolution Quadrature for Time Domain Boundary Integral Formulations of the Wave Equation. IMA, J. Numer. Anal., Vol 29(1), pp. 158 - 179 (2009) link, [pdf]

Stefan Sauter (2008). Finite Elements for Elliptic Eigenvalue Problems: Lecture Notes for the Zürich Summerschool 2008 [pdf]

Stefan Sauter, Lehel Banjai (2007). Rapid solution of the wave equation in unbounded domains. SIAM J. Num. Anal., Vol 47(1), pp. 227 - 249 (2008) link, [pdf]

Daniel Peterseim, Stefan Sauter (2007). The Composite Mini Element - Coarse Mesh Computation of Stokes Flows on Complicated Domains. SIAM J. Num. Anal., Vol 46(6), pp. 3181 - 3206 (2008) link, [pdf]

Ivo Babuska, Stefan Sauter (2007). Efficient Solution of Anisotropic Lattice Equations by the Recovery Method. SIAM, J. Sci. Comput., Vol 30(5), pp. 2386 - 2404 (2008) link, [pdf]

Stefan Sauter, Wolfgang Hackbusch, I. G. Graham, Lars Grasedyck (2006). Optimal Panel-Clustering in the Presence of Anisotropic Mesh Refinement. SIAM J. Num. Anal., Vol 46(1), pp. 517 - 543 (2008) link, [pdf]

Daniel Peterseim, Stefan Sauter (2008). Recent advances in Composite Finite Elements. Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach Reports No. 23-2008, Schnelle Löser für partielle Differentialgleichungen link

Christian Wüst, Stefan Sauter, P.I. Ward, L. F. Bussiere (2008). The fluid dynamics of yellow dung fly sperm flow. Preprint 16-2008, University of Zurich (2008) [pdf]

Stefan Sauter, Lehel Banjai, Steffen Börm (2007). FEM for Elliptic Eigenvalue Problems: How Coarse Can the Coarsest Mesh be Chosen? An Experimental Study.. Computing and Visualization in Sciences, Vol 11(4-6), pp. 363 - 372 (2008) link, [pdf]

Stefan Sauter, Wendy Kress (2006). Numerical treatment of Retarded BoundaryIntegral Equations by Sparse Panel Clustering. IMA J. Numer Anal., Vol 28, pp. 162 - 185 (2008) link, [pdf]

Stefan Sauter, Wolfgang Hackbusch, W. Kress (2006). Sparse Convolution Quadrature for Time Domain Boundary Integral Formulations of the Wave Equation by Cutoff and Panel-Clustering. In: M. Schanz, O. Steinbach (Eds.): Boundary Element Analysis, Springer, pp. 113 - 134 (2007) link, [pdf]

Stefan Sauter, Lehel Banjai (2006). A refined Galerkin error and stability analysis for highly indefinite variational problems. SIAM J. on Num. Anal., Vol 45(1), pp. 37 - 53 (2007) link, [pdf]

Stefan Sauter, Sergey I. Repin, Anton Smolianski (2005). Two-Sided A Posteriori Error Estimates for Mixed Formulations of Elliptic Problems. SIAM J. Num. Anal., Vol 45(3), pp. 928 - 945 (2007) link, [pdf]

Stefan Sauter, Wolfgang Hackbusch, Boris N. Khoromskij (2004). Adaptive Galerkin Boundary Element Methods with Panel Clustering. Numer. Math., Vol 105(4), pp. 603 - 631 (2007) link, [pdf]

Daniel Peterseim, Stefan Sauter (2008). The Composite Mini Element - A new mixed FEM for the Stokes equations on complicated domains. Proceedings of the 6th International Congress on Industrial and Applied Mathematics, Vol 7(1), (2007) link

Stefan Sauter (2005). A Refined Finite Element Convergence Theory for Highly Indefinite Helmholtz Problems. Computing, Vol 78(2), 101 - 1115 (2006) link, [pdf]

Stefan Sauter, Wolfgang Hackbusch, M. Löhndorf (2005). Coarsening of Finite Element and Boundary Element Spaces. Computing, Vol 77(3), 253 - 273 (2006) link, [pdf]

Stefan Sauter, Serge Nicaise (2005). Efficient Numerical Solution of Neumann Problems on Complicated Domains. Calcolo, Vol 43(2), 95 - 120 (2006) link, [pdf]

Sergey I. Repin, Stefan Sauter (2006). Functional A Posteriori Estimates for theReaction-Diffusion Problem. Comptes rendus Mathematique, Vol 343(5), 349 - 355 (2006) link

Stefan Sauter, Rainer Warnke (2004). Composite Finite Elements for Elliptic Boundary Value Problems with Discontinuous Coefficients. Computing, Vol 77(1), pp. 29 - 55 (2006) link, [pdf]

Stefan Sauter, Annalisa Buffa (2003). On the acoustic single layer potential: Stabilisation and Fourier analysis. SIAM, J. Sci. Comput., Vol 28(5), pp. 1974 - 1999 (2006) link, [pdf]

Markus Rech, Stefan Sauter, Anton Smolianski (2003). Two-Scale Composite Finite Element Method for the Dirichlet Problem on Complicated Domains. Numer. Math., Vol 102(4), pp. 681 - 708 (2006) link, [pdf] [rev]

Stefan Sauter, Steffen Börm, Nico Krzebek (2003). May the singular integrals in BEM be replaced by Zero?. Comp. Meth. in Appl. Mech. Eng., 194(2-5), pp. 383 - 393 (2005) link, [pdf]

Stefan Sauter, Steffen Börm (2003). Classical BEM with linear complexity. Mathematics of Computation, Vol 74, pp. 1139 - 1177 (2005) link, [pdf]

Stefan Sauter, I. G. Graham, Wolfgang Hackbusch (2002). Finite elements on degenerate meshes: inverse-type inequalities and applications.. IMA, J. Numer. Anal., Vol 25(2), pp. 379 - 407 (2005) link, [pdf]

Stefan Sauter, Christoph Schwab (2004). Randelementmethoden. Book, pp. 382, Teubner (2004)

Tobias Preusser, H.-O. Peitgen, F. Liehr, Martin Rumpf, Ulrich Weikard, Stefan Sauter (2004). Simulation of radio-frequency ablation using composite finite element methods. In: Perspective in Image Guided Surgery, Proceedings of the Scientific Workshop on Medical Robotics, Navigation and Visualization. Remangen: World Scientific, pp. 303 - 310 (2004) link

Stefan Sauter, Ivo Babuska (2002). Algebraic Algorithms for the Analysis of Mechanical Trusses. Mathematics of Computation, Vol 73, pp. 1601 - 1622 (2004) link, [pdf]

Stefan Sauter, W. Dahmen, I. G. Graham, Wolfgang Hackbusch, B. Faermann (2003). Inverse Inequalities on Non-Quasiuniform Mehses and Applications to the Mortar Element Method. Mathematics of Computation, 73, 1107 - 1138 (2004) link, [pdf]

Stefan Sauter, Anton Smolianski, Sergey I. Repin (2003). A Posteriori Error Estimation for the Poisson Equation with Mixed Dirichlet/Neumann Boundary Conditions. JCAM, Vol 164 - 165, 601 - 612 (2004) link, [pdf]

Stefan Sauter, Sergey I. Repin, Anton Smolianski (2003). A Posteriori Estimation of Dimension Reduction Errors. Proceedings von ENUMATH 2003 Conference, (eds. M. Feistauer, V. Dolejsi, P. Knobloch, K. Najzar), Springer, Berlin, pp. 716 - 725 (2004) link, [pdf]

Stefan Sauter, Ivo Babuska (2002). Efficient Solution of Lattice Equations by the Recovery Method. Part 1: Scalar Elliptic Problems. Comp. Vis. Sci.,Vol 7(3-4), pp. 113 - 119 (2004) link, [pdf]

Stefan Sauter, Sergey I. Repin, Anton Smolianski (2003). A Posteriori Estimation of Dimension Reduction Errors for Elliptic Problems on Thin Domains. SIAM J. Numer. Anal., Vol 42(4), pp. 1435 - 1451 (2004) link, [pdf]

Stefan Sauter, Carsten Carstensen (2001). A posteriori error analysis for elliptic PDEs on domains with complicated structures. Numer. Math., Vol 96(4), pp. 691 - 721 (2004) link, [pdf]

Stefan Sauter, Sergey I. Repin, Anton Smolianski (2002). A Posteriori Error Estimation for the Dirichlet Problem with Account of the Error in the Approximation of Boundary Conditions. Computing, Vol 70(3), pp. 205 - 233 (2003) link, [pdf]

Nico Krzebek, Stefan Sauter (2002). Fast Cluster Techniques for BEM. Eng. Analysis with Boundary Elem., Vol 27(5), pp. 455 - 467 (2003) link, [pdf] [rev]

D. Feuchter, I. Heppner, Stefan Sauter, G. Wittum (2002). Bridging the gap between geometric and algebraic multi-grid methods. Computing and Visualization in Science, Vol 6(1), pp. 1 - 13 (2003) link, [pdf]

Stefan Sauter (2002). Composite Finite Elements and Multigrid . Lecture Notes of the Zürich Summerschool 02, Preprint Nr. 22-2002 (2002), Universität Zürich [pdf]

Stefan Sauter, Nadin Stahn (2001). Composite Finite Elements and Multi-Grid. Part I: Convergence Theory in 1-d. Proceedings of the 17th GAMM-Seminar Leipzig on Construction of Grid Generation Algorithms, MPI Leipzig, pp. 69 - 86 (2001) link, [pdf]

Stefan Sauter, C. Lage (2001). Transformation of hypersingular integrals and black-box cubature. Mathematics of Computation, Vol 70, pp. 223 - 250 (2001) link, [pdf]

Stefan Sauter, I. G. Graham, Wolfgang Hackbusch (2000). Hybrid Galerkin Boundary Elements: Theory and Implementation. Numer. Math. Vol 86(1), pp. 139 - 172 (2000) link

Stefan Sauter, I. G. Graham, Wolfgang Hackbusch (2000). Discrete Boundary Element Methods on General Meshes in 3D. Numer. Math., Vol 86(1), pp. 103 - 137 (2000) link

Stefan Sauter, I. G. Graham, Wolfgang Hackbusch (1999). Hybrid Galerkin boundary elements on degenerate meshes. In "Mathematical Aspects of Boundary Element Methods" Eds. M. Bonnet, A.M. Saendig, W.L. Wendland. Eds, pp. 140 - 151, CRC Press (2000) link

Stefan Sauter, Wolfgang Hackbusch, Boris N. Khoromskij (2000). On H^2 matrices. In: "Lectures on Applied Mathematics", Eds. H.-J. Bungartz, R.H.W. Hoppe, C. Zenger, Springer-Verlag, Heidelberg pp. 9 - 30 (2000) link, [pdf]

Stefan Sauter (2000). Variable order panel clustering. Computing, Vol 64(3), pp. 223 - 261 (2000) link, [pdf]

Stefan Sauter, K. Hayami (1999). A panel clustering method for 3-d elastostatics using spherical harmonics. In: "Integral methods in science and engineering", Eds. B. Bertram, C. Constanda and A. Struthers, Chapman & Hall/CRC, London, pp. 179-184 (2000) link

Stefan Sauter, Ivo Babuska (1997). Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers. SIAM, J. Numer. Anal. Vol 34 (1997), 2392 - 2423, Revised and reprinted in: SIAM Reviews, Vol 42(3), pp. 451 - 484 (2000) link

Stefan Sauter, M. Gnewuch (1999). Boundary integral equation for second order elliptic boundary value problems. Preprint Nr. 55/1999, Max-Planck-Institut für Mathematik, Leipzig (1999) link, [pdf]

Stefan Sauter, I. G. Graham, R. A. Horrocks (1999). Enriched Hybrid Galerkin BEM. Proceedings of 2nd UK Conference on Boundary Integral Methods, Brunel University Press, (L. Wrobel, S.N. Chandler-Wilde, Eds.), pp. 177-188 (1999)

Stefan Sauter, Rainer Warnke (1999). Extension operators and approximation on domains containing small geometric details. East-West J. Numer. Math., Vol 7(1), pp. 61 - 77 (1999) link, [pdf]

Stefan Sauter, I. G. Graham, Wolfgang Hackbusch (1998). Fast integration techniques in 3D boundary elements.. In Domain Decomposition Methods in Science and Engineering (Eds., P.E. Bjoerstad, M. Cross, C.-H. Lai, O. Widland), Domain Decomposition Press, Bergen, pp. 37 - 48 (1999) link, [pdf]

Stefan Sauter, Wolfgang Hackbusch (1998). A new finite element approach for problems containing small geometric details. Arch. Math., Vol 34(1), pp. 105 - 117 (1998) link, [pdf]

Stefan Sauter, K. Hayami (1998). Cost estimation of the panel clustering method applied to 3-D elastostatcs. in C.A. Brebbia ed., Proceedings of the Second European Boundary Element Symposium, Southampton, May, 1998, Computational Mechanics Publication, U.K., pp. 33 - 42 (1998) link

Stefan Sauter, S. Erichsen (1998). Efficient automatic quadrature in 3-d Galerkin BEM. Computer Methods in Applied Mechanics and Engineering 157, Elsevier, pp. 215 - 224 (1998) link

Stefan Sauter, K. Hayami (1998). Panel Clustering for 3-d Elastostatics using spherical harmonics. In: A. Kassab, C.A. Brebbia and M. Chopra eds., Boundary Elements XX, Proc. 20th Int. Conf. on the Boundary Element Method, Orlando, Computational Mechanics Publications, pp. 289 - 298 (1998) link

Stefan Sauter (1998). The Panel Clustering Method in 3-d BEM. Wave Propagation in Complex Media (G. Papanicolaou ed.), Springer, IMA-Volumes in Mathematics and its Applications 96, pp. 199 - 224 (1998) link, [pdf]

Stefan Sauter, K. Hayami (1997). Application of the panel clustering method to the three-dimensional elastostatic problem. Boundary Elements XIX, Proceedings of the 19th International Conference on the Boundary Element Method, Rome, 1997, Computational Mechanics Publications, (M. Marchetti, C.A. Brebbia and M.H.Aliabadi, eds.), pp. 625 - 634 (1997) link

Stefan Sauter (1997). Composite Finite Elements for problems with complicated boundary. Part III: Essential Boundary Conditions. Technical-Report 97-16, Universität Kiel (1997) [pdf]

Stefan Sauter, Wolfgang Hackbusch (1997). Composite Finite Elements for the approximation of PDEs on domains with complicated micro-structures. Numer. Math., Vol 75(4), pp. 447 - 472 (1997) link, [pdf]

Stefan Sauter, Wolfgang Hackbusch (1997). Composite finite elements for problems containing small geometric details. Part II: Implementation and numerical results. Computing and Visualization in Science, Vol 1, pp. 15 - 25 (1997) link, [pdf]

Stefan Sauter, Wolfgang Hackbusch, C. Lage (1997). On the efficient realization of sparse matrix techniques for integral equations with focus on panel clustering, cubature and software design aspects. Boundary Element Topics, Springer, (eds. W.L. Wendland), pp. 51 - 76 (1997) link, [pdf]

Stefan Sauter, Christoph Schwab (1997). Quadrature for hp-Galerkin BEM in R^3. Numer. Math., Vol 78, pp. 211 - 258 (1997) link, [pdf]

Stefan Sauter, Ivo Babuska, F. Ihlenburg (1997). Reliability of finite element methods for the numerical computation of waves. Advances in Engineering Software, Vol 28, pp. 417 - 424 (1997) link, [pdf]

Stefan Sauter, I. G. Graham, Wolfgang Hackbusch (1997). The hybrid Galerkin boundary element method. Proceedings of the First UK Conference on Boundary Integral Methods, (L. Elliot, D.B. Ingham, D. Lesnic, eds.), Leeds University Press, pp. 98 - 107 (1997)

Stefan Sauter (1997). Vergröberung von Finite-Elemente-Räumen. Habilitationsschrift, Universität Kiel (1997) [pdf]

Stefan Sauter, K. Hayami (1996). A formulation of the Panel-Clustering Method for three-dimensional elastostatics. Proceedings of the Annual Meeting of the Japanese Society for Industrial and Applied Mathematics (JSIAM), pp. 218 - 219 (1996) [pdf]

Stefan Sauter, K. Hayami (1996). A formulation of the panel clustering method for the three-dimensional elastostatic problem. Proceedings of the JASCOME 13th symposium on BEM, Tokyo, 125 - 130 (1996)

Stefan Sauter (1996). A remark on extension theorems for domains having small geometric details. Technical report 96-03, Universität Kiel (1996) [pdf]

Stefan Sauter, Wolfgang Hackbusch (1996). Adaptive Composite Finite Elements for the solution of PDEs containing non-uniformly distributed micro-scales. Matematicheskoe modelirovanie, Vol 8(9), pp. 31 - 43 (1996) link

Stefan Sauter (1996). Cubature techniques for 3-d Galerkin BEM. Boundary Elements: Implementation and Analysis of Advanced Algorithms, W. Hackbusch, G. Wittum eds, NNNFM 54, Vieweg-Verlag, pp. 29 - 44 (1996) link, [pdf]

Stefan Sauter, A. Krapp (1996). On the effect of numerical integration in the Galerkin boundary element method. Numer. Math., Vol 74, pp. 337 - 360 (1996) link

Stefan Sauter, C. Lage (1996). On the efficient computation of singular and nearly singular surface integrals arising in 3D-Galerkin BEM. ZAMM Vol 76, pp. 273 - 275 (1996) link

Stefan Sauter, Christoph Schwab (1996). Realization of hp-Galerkin BEM in 3-d. Boundary Elements: Implementation and Analysis of Advanced Algorithms, W. Hackbusch, G. Wittum eds, NNNFM 54, Vieweg-Verlag, pp. 194 - 206 (1996) link

Stefan Sauter, Ivo Babuska, F. Ihlenburg, E.T. Paik (1995). A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution. Comp. Meth. Appl. Mech. Eng., Vol 128, pp. 325 - 359 (1995) link

Stefan Sauter (1995). On the stability of the Incomplete Cholesky Decomposition for a Singular Perturbed Problem, where the Coefficient Matrix is not an M-Matrix. J. Numer. Lin. Alg. Appl., Vol 2, pp. 17 - 28 (1995) link

Stefan Sauter, Wolfgang Hackbusch (1994). On Numerical Cubatures of Nearly Singular Surface Integrals Arising in BEM Collocation. Computing, Vol 52, pp. 139 - 159 (1994) link

Stefan Sauter (1994). On the Efficient Implementation of the Galerkin-BEM. ZAMM 74(6), pp. 516 - 518 (1994) link

Stefan Sauter, Wolfgang Hackbusch (1993). On the Efficient Use of the Galerkin Method to Solve Fredholm Integral Equations. Applications of Mathematics, Vol 38(4-5), pp. 301 - 322 (1993) link

Stefan Sauter (1993). On the stability of the ILU method for singular perturbed finite-element problems. In Notes on Numerical Fluid Mechanics, Incomplete Decompositions (ILU), Theory, Technique and Applications. Proceedings of the 8th Kieler GAMM-Seminar 1991, Eds. W. Hackbusch. Proceedings of the 8th Kieler GAMM-Seminar 1991, G. Wittum, pp. 139-149, Vieweg, Braunschweig, (1993)

Stefan Sauter, G. Wittum (1992). A Multigrid Method for the Computation of Eigenmodes of Closed Water Basins. Impact of Computing in Science and Engineering, Vol 4, pp. 124 - 152 (1992) link

Stefan Sauter (1992). Über die effiziente Verwendung des Galerkinverfahrens zur Lösung Fredholmscher Integralgleichungen. Phd thesis, Universität Kiel (1992) link

Stefan Sauter (1991). Der Aufwand der Panel-Clustering-Methode für Integralgleichungen.. Report Nr. 9115, University Kiel, (1991).

Stefan Sauter, G. Wittum (1991). On the computation of the Eigenmodes of Lake Constance by means of a Multi-Grid method.. GMD-Studien Nr. 189 of the 3rd European Conference on Multigrid methods, Eds. W. Hackbusch, U. Trottenberg, Bonn (1991).

Stefan Sauter (1991). The ILU method for finite-element discretizations. Journal of Computational and Applied Mathematics, Vol 36, pp. 91 - 106 (1991) link

Stefan Sauter (1989). Ein Mehrgitterverfahren zur Berechnung der Eigenschwingungen von abgeschlossenen Wasserbecken. Diploma thesis, Heidelberg, (1989) link [pdf]