Prof. Dr. Stefan Sauter

Publikationen

M. Grote, S. Michel, S. Sauter
Explicit Local Time-Stepping for the Inhomogeneous Wave Equation with Optimal Convergence
(submitted 2024)    arXiv:2409.18085

C. Lin, J.M. Melenk, S. Sauter
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)    arXiv:2408.03587

C. Lin, J.M. Melenk, S. Sauter
The Green’s function for an acoustic half-space problem with impedance boundary conditions. Part I: Representation formula
(submitted 2024)    arXiv:2408.03108

N.-E. Bohne, P. Ciarlet, Jr., S. Sauter
Crouzeix-Raviart elements on simplicial meshes in d dimensions
(submitted 2024),    arXiv:2407.04361

F. Florian, R. Hiptmair, S. Sauter
Skeleton Integral Equations for Acoustic Transmission Problems with Varying Coefficients
SIAM J. Math. Anal., Vol. 56, No. 5, pp. 6232-6267 (2024) link,    arXiv:2305.00959

B. Grässle, N.-E. Bohne, S. Sauter
The pressure-wired Stokes element: a mesh-robust version of the Scott-Vogelius element
Numerische Mathematik, online first (Aug. 2024) link,    arXiv:2212.09673

J.M. Melenk, S. Sauter
Wavenumber-explicit hp-FEM analysis for Maxwell's equations with impedance boundary conditions
Foundations of Computational Mathematics, online first (Nov. 2023) link,    arXiv:2201.02602

S. Sauter
The inf-sup constant for hp-Crouzeix-Raviart triangular elements
Comput. Math. Appl., no. 149, pp. 49-70(2023) link,    arXiv:2204.01270

S. Sauter, C. Torres
On the Inf-Sup Stabillity of Crouzeix-Raviart Stokes Elements in 3D
Math Comp 92, no. 341, 1033-1059(2022) link,    arXiv:2205.00062

C. Carstensen, S. Sauter
Crouzeix-Raviart triangular elements are inf-sup stable
MathComp 91, pp. 2041-2057(2022)    arXiv:2105.14987

C. Carstensen, S. Sauter
Critical Functions and Inf-Sup Stability of Crouzeix-Raviart Elements
Computers & Mathematics with Applications, 108:12-23(2022) link,    arXiv:2105.14981

M. Bernkopf, S. Sauter, C. Torres, A. Veit
Solvability of Discrete Helmholtz Equations
IMA Journal of Numerical Analysis, Vol. 43, Issue 3, pp. 1802–1830 (May 2023) link,    arXiv:2105.02273

M. Grote, S. Michel, S. Sauter
Stabilized leapfrog based local time-stepping method for the wave equation
Math. Comp. 90, pp. 2603-2643(2021) link,    arXiv:2005.13350

M. Chipot, W. Hackbusch, S. Sauter, A. Veit
Numerical approximation of Poisson problems in long domains
Vietnam Journal of Mathematics, pp. 1-19(2021) link,    arXiv:1811.02227

S. Börm, M. López Fernández, S. Sauter
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,    arXiv:1903.02803

J.M. Melenk, S. Sauter
Wavenumber-explicit hp-FEM analysis for Maxwell's equations with transparent boundary conditions
Foundations of Computational Mathematics, 21, pp. 125–241(2021) link,    arXiv:1803.01619

S. Eberle, F. Florian, R. Hiptmair, S. Sauter
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,    arXiv:1907.01738

S. Sauter, C. Torres
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,    arXiv:2006.15866

J.M. Melenk, S. Sauter, C. Torres
Wavenumber Explicit Analysis for Galerkin Discretizations of Lossy Helmholtz Problems
SIAM J. Numer. Anal., 58(4), 2119 - 2143(2020) link,    arXiv:1904.00207

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

R. Gasser, J. Gedicke, S. Sauter
Benchmark computation of eigenvalues with large defect for non-selfadjoint elliptic differential operators
SIAM J. Sci. Comput., 41(6), A3938–A3953 (2019) link,    arXiv:1902.02114

I. G. Graham, S. Sauter
Stability and error analysis for the Helmholtz equation with variable coefficients
Mathematics of Computation, Vol. 89(321), pp. 105–138 (2019) link,    arXiv:1803.00966

S. Sauter, C. Torres
Stability estimate for the Helmholtz equation with rapidly jumping coefficients
Zeitschrift für Angewante Mathematik und Physik (ZAMP), 69:139 (2018) link,    arXiv:1711.05430

U. Vögeli, K. Nedaiasl, S. Sauter
A Fully Discrete Galerkin Method for Abel-type Integral Equations
Adv. Comput Math., Vol. 44(5), pp. 1601 - 1626 (2018) link,    arXiv:1612.01285

M. Grote, M. Mehlin, S. Sauter
Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation
SIAM J. Numer. Anal., 56(2), 994 – 1021 (2018) link,    arXiv:1703.07965

P. Ciarlet, Jr., Ch.F. Dunkl, S. Sauter
A Family of Crouzeix-Raviart Finite Elements in 3D
Analysis and Applications, Vol 16(05), pp. 649 - 691 (2018) link,    arXiv:1703.03224

S. Sauter, M. Schanz
Convolution Quadrature for the Wave Equation with Impedance Boundary Conditions
Journal of Computational Physics, Vol 334, pp. 442 - 459 (2017) link , PDF  

M. Weymuth, S. Sauter, S. I. Repin
A Posteriori Modelling-Discretization Error Estimate for Elliptic Problems with L∞-Coefficients
Comput. Methods Appl. Math. Vol. 17(3), pp. 515 - 531 (2017) link,    arXiv:1704.01890

D. Pölz, S. Sauter, M. Schanz
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  

K. Maleknejad, P. Torabi, S. Sauter
Numerical Solution of a Non-Linear Volterra Integral Equation
Vietnam Journal of Mathematics, 44 (1), pp. 5 - 28 (2016) link, PDF  

S. Falletta, S. Sauter
The Panel-Clustering Method for the Wave Equation in Two Spatial Dimensions
J. of Computational Physics, 305 (C), pp. 217 - 243 (2016) link, PDF  

M. López Fernández, S. Sauter
Generalized Convolution Quadrature based on Runge-Kutta Methods
Numerische Mathematik, 133 (4), pp. 734 - 779 (2016) link, PDF  

S. Sauter, A. Veit
Adaptive Time Discretization for Retarded Potentials
Numerische Mathematik, 132(3), pp. 569 - 595 (2016) link,    arXiv:1404.2322

P.G. Ciarlet, P. Ciarlet, Jr., S. Sauter, C. Simian
Intrinsic Finite Element Methods for theComputation of Fluxes for Poisson’s Equation
Numerische Mathematik, 132 (3), pp. 433 - 462 (2016) link, PDF  

S. I. Repin, T. Samrowski, S. Sauter
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  

S. Sauter, J. Zech
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,    arXiv:1407.1430

R. Bank, A. Parsania, S. Sauter
Saturation Estimates for hp-Finite Element Methods
Computing and Visualization in Science, Vol 16 (5), pp. 195 - 217 (2015) link, PDF  

S. Sauter, T. Koornwinder
The Intersection of Bivariate Orthogonal Polynomials on Triangle Patches
Mathematics of Computation, 84(294), pp. 1795 - 1812 (2015) link,    arXiv:1307.8429

M. López Fernández, S. Sauter
Generalized Convolution Quadrature with Variable Time Stepping.Part II: Algorithm and Numerical Results
Applied Numerical Mathematics, 94, pp. 88 - 105 (2015) link, PDF  

M. López Fernández, S. Sauter
Fast and Stable Contour Integration for High Order Divided Differences via Elliptic Functions
Math. Comp. 84, pp. 1291 - 1315 (2015) link, PDF  

S. Falletta, S. Sauter
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,    arXiv:1310.8493

J.M. Melenk, A. Parsania, S. Sauter
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  

S. I. Repin, T. Samrowski, S. Sauter
A Posteriori Error Majorants of the Modelling Errors for Elliptic Homogenization Problems
Comptes Rendus Mathématiques, 351 (23-24), pp. 877 - 882 (2013) link, PDF  

M. López Fernández, S. Sauter
A Generalized Convolution Quadrature with Variable Time Stepping
IMA J. Numer. Anal., Vol 33(4), pp. 1156 - 1175 (2013) link, PDF   .

J. Ballani, L. Banjai, S. Sauter, A. Veit
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  

W. Dörfler, S. Sauter
A Posteriori Error Estimation for Highly Indefinite Helmholtz Problems
Comp. Meth. Appl. Math., Vol 13(3), pp. 333 - 347 (2013) link, PDF  

S. Sauter, A. Veit
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   additional material

S. Sauter, A. Veit
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  

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

L. Banjai, S. Sauter
Frequency Explicit Regularity Estimates for the Electric Field Integral Operator
Preprint 05-2012, University of Zurich (2012) PDF  

S. I. Repin, T. Samrowski, S. Sauter
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  

L. Grasedyck, I. Greff, S. Sauter
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  

D. Peterseim, S. Sauter
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  

W. Hackbusch, B. N. Khoromskij, S. Sauter, E. E. Tyrtyshnikov
Use of Tensor Formats in Elliptic Eigenvalue Problems
Num. Lin. Alg. Appl. Vol 19(1), pp. 133 - 151 (2012) link, PDF  

B. N. Khoromskij, S. Sauter, A. Veit
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  

S. Sauter, C. Schwab
Boundary Element Methods
Book, pp. 561, Springer (2011)   

T. Preusser, M. Rumpf, S. Sauter, O. Schwen
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  

J.M. Melenk, S. Sauter
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,
PDF

P.G. Ciarlet, P. Ciarlet, Jr., O. Iosifescu, S. Sauter, J. Zou
Lagrange multipliers in intrinsic elasticity
Math. Mod. Meth. Appl. Sci. (M3AS). Vol 21(4), pp. 651-666 (2011) link   

D. Braess, S. Sauter, C. Schwab
On the Justification of Plate Models
Journal of Elasticity, Vol 103(1), pp. 53-71 (2011) link, PDF  

D. Peterseim, S. Sauter
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  

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

P.G. Ciarlet, P. Ciarlet, Jr., O. Iosifescu, S. Sauter, J. Zou
A Lagrangian approach to intrinsic linearized elasticity
Comptes Rendus Mathematique, Ser. I, 348(9-10), 587 - 592 (2010) link   

J.M. Melenk, S. Sauter
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  

S. I. Repin, S. Sauter
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  

S. Sauter
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  

F. Lihr, T. Preusser, M. Rumpf, S. Sauter, O. Schwen
Composite Finite Elements for 3D Image Based Computing
Computing and Visualization in Sciences, Vol 12(4), pp. 171 – 188 (2009) link, PDF  

W. Hackbusch, W. Kress, S. Sauter
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  

S. Sauter
Finite Elements for Elliptic Eigenvalue Problems: Lecture Notes for the Zürich Summerschool 2008
PDF

L. Banjai, S. Sauter
Rapid solution of the wave equation in unbounded domains
SIAM J. Num. Anal., Vol 47(1), pp. 227 - 249 (2008) link, PDF  

D. Peterseim, S. Sauter
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  

I. Babuska, S. Sauter
Efficient Solution of Anisotropic Lattice Equations by the Recovery Method
SIAM, J. Sci. Comput., Vol 30(5), pp. 2386 - 2404 (2008) link, PDF  

I. G. Graham, L. Grasedyck, W. Hackbusch, S. Sauter
Optimal Panel-Clustering in the Presence of Anisotropic Mesh Refinement
SIAM J. Num. Anal., Vol 46(1), pp. 517 - 543 (2008) link, PDF  

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

Ch. Wüst, S. Sauter, P.I. Ward, L. F. Bussiere
The fluid dynamics of yellow dung fly sperm flow
Preprint 16-2008, University of Zurich (2008) PDF  

L. Banjai, S. Börm, S. Sauter
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  

W. Kress, S. Sauter
Numerical treatment of Retarded BoundaryIntegral Equations by Sparse Panel Clustering
IMA J. Numer Anal., Vol 28, pp. 162 - 185 (2008) link, PDF  

W. Hackbusch, W. Kress, S. Sauter
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  

L. Banjai, S. Sauter
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  

S. I. Repin, S. Sauter, A. Smolianski
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  

W. Hackbusch, B. N. Khoromskij, S. Sauter
Adaptive Galerkin Boundary Element Methods with Panel Clustering
Numer. Math., Vol 105(4), pp. 603 - 631 (2007) link, PDF  

D. Peterseim, S. Sauter
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   

S. Sauter
A Refined Finite Element Convergence Theory for Highly Indefinite Helmholtz Problems
Computing, Vol 78(2), 101 - 1115 (2006) link, PDF  

W. Hackbusch, M. Löhndorf, S. Sauter
Coarsening of Finite Element and Boundary Element Spaces
Computing, Vol 77(3), 253 - 273 (2006) link, PDF  

S. Nicaise, S. Sauter
Efficient Numerical Solution of Neumann Problems on Complicated Domains
Calcolo, Vol 43(2), 95 - 120 (2006) link, PDF  

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

S. Sauter, R. Warnke
Composite Finite Elements for Elliptic Boundary Value Problems with Discontinuous Coefficients
Computing, Vol 77(1), pp. 29 - 55 (2006) link, PDF  

A. Buffa, S. Sauter
On the acoustic single layer potential: Stabilisation and Fourier analysis
SIAM, J. Sci. Comput., Vol 28(5), pp. 1974 - 1999 (2006) link, PDF  

M. Rech, S. Sauter, A. Smolianski
Two-Scale Composite Finite Element Method for the Dirichlet Problem on Complicated Domains
Numer. Math., Vol 102(4), pp. 681 - 708 (2006) link, PDF   fileadmin/math/preprints/17-03rev.pdf

S. Börm, N. Krzebek, S. Sauter
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  

S. Börm, S. Sauter
Classical BEM with linear complexity
Mathematics of Computation, Vol 74, pp. 1139 - 1177 (2005) link, PDF  

I. G. Graham, W. Hackbusch, S. Sauter
Finite elements on degenerate meshes: inverse-type inequalities and applications.
IMA, J. Numer. Anal., Vol 25(2), pp. 379 - 407 (2005) link, PDF  

S. Sauter, C. Schwab
Randelementmethoden
Book, pp. 382, Teubner (2004)   

T. Preusser, H.-O. Peitgen, F. Liehr, M. Rumpf, U. Weikard, S. Sauter
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   

I. Babuska, S. Sauter
Algebraic Algorithms for the Analysis of Mechanical Trusses
Mathematics of Computation, Vol 73, pp. 1601 - 1622 (2004) link, PDF  

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

S. I. Repin, S. Sauter, A. Smolianski
A Posteriori Error Estimation for the Poisson Equation with Mixed Dirichlet/Neumann Boundary Conditions
JCAM, Vol 164 - 165, 601 - 612 (2004) link, PDF  

S. I. Repin, S. Sauter, A. Smolianski
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  

I. Babuska, S. Sauter
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  

S. I. Repin, S. Sauter, A. Smolianski
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  

C. Carstensen, S. Sauter
A posteriori error analysis for elliptic PDEs on domains with complicated structures
Numer. Math., Vol 96(4), pp. 691 - 721 (2004) link, PDF  

S. I. Repin, S. Sauter, A. Smolianski
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  

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

N. Krzebek, S. Sauter
Fast Cluster Techniques for BEM
Eng. Analysis with Boundary Elem., Vol 27(5), pp. 455 - 467 (2003) link, PDF   (revised version) fileadmin/math/preprints/04-02rev.pdf

S. Sauter
Composite Finite Elements and Multigrid
Lecture Notes of the Zürich Summerschool 02, Preprint Nr. 22-2002 (2002), Universität Zürich PDF  

S. Sauter, N. Frauböse
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  

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

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

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

I. G. Graham, W. Hackbusch, S. Sauter
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   

W. Hackbusch, B. N. Khoromskij, S. Sauter
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  

S. Sauter
Variable order panel clustering
Computing, Vol 64(3), pp. 223 - 261 (2000) link, PDF  

K. Hayami, S. Sauter
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   

I. Babuska, S. Sauter
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   

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

I. G. Graham, R.A. Horrocks, S. Sauter
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)   

S. Sauter, R. Warnke
Extension operators and approximation on domains containing small geometric details
East-West J. Numer. Math., Vol 7(1), pp. 61 - 77 (1999) link, PDF  

I. G. Graham, W. Hackbusch, S. Sauter
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  

W. Hackbusch, S. Sauter
A new finite element approach for problems containing small geometric details
Arch. Math., Vol 34(1), pp. 105 - 117 (1998) link, PDF  

K. Hayami, S. Sauter
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   

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

K. Hayami, S. Sauter
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   

S. Sauter
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  

K. Hayami, S. Sauter
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   

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

W. Hackbusch, S. Sauter
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  

W. Hackbusch, S. Sauter
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  

W. Hackbusch, C. Lage, S. Sauter
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  

S. Sauter, C. Schwab
Quadrature for hp-Galerkin BEM in R^3
Numer. Math., Vol 78, pp. 211 - 258 (1997) link, PDF  

I. Babuska, F. Ihlenburg, S. Sauter
Reliability of finite element methods for the numerical computation of waves
Advances in Engineering Software, Vol 28, pp. 417 - 424 (1997) link, PDF  

I. G. Graham, W. Hackbusch, S. Sauter
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)   

S. Sauter
Vergröberung von Finite-Elemente-Räumen
Habilitationsschrift, Universität Kiel (1997) PDF  

K. Hayami, S. Sauter
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  

K. Hayami, S. Sauter
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)   

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

W. Hackbusch, S. Sauter
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   

S. Sauter
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  

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

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

S. Sauter, C. Schwab
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   

I. Babuska, F. Ihlenburg, E.T. Paik, S. Sauter
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   

S. Sauter
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   

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

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

W. Hackbusch, S. Sauter
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   

S. Sauter
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)   

S. Sauter, G. Wittum
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   

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

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

S. Sauter, G. Wittum
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).   

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

S. Sauter
Ein Mehrgitterverfahren zur Berechnung der Eigenschwingungen von abgeschlossenen Wasserbecken
Diploma thesis, Heidelberg, (1989) link PDF