Prof. Dr. Stefan Sauter

Institut für Mathematik
Universität Zürich
Winterthurerstrasse 190
CH-8057 Zürich

E-Mail:
Phone: +41 44 635 58 45
Fax: +41 44 635 57 05
Office: Y27J24
Field of Research:
Numerische Analysis
Secretary:
E-Mail:
Phone:
Franziska Robmann

+41 44 635 58 31

Research

Arbeitsgruppenprofil

Die Arbeitsgruppe Numerik beschäftigt sich mit der Entwicklung, der Analyse und der Implementierung von Verfahren zur Lösung praxisrelevanter Probleme. Schwerpunkt bildet dabei die numerische Behandlung von Integralgleichungen und partiellen Differentialgleichungen.

Integralgleichungen

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.

Partielle Differentialgleichungen

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.

Spring 18

Seminars & Lectures

Research seminars
Zurich Colloquium in Applied and Computational Mathematics
Mi
16.15-17.45
Rémi Abgrall, Rima Alaifari, Habib Ammari, Ralf Hiptmair, Arnulf Jentzen, Carlos Jerez Hanckes, Siddhartha Mishra, Stefan Sauter, Christoph Schwab
 

Lectures
Numerical methods for elliptic and parabolic PDEs
Mi
08.00-09.45
Do
08.00-09.45

Exercises Numerical methods for elliptic and parabolic PDEs Gr.1
Mi
10.15-12.00

Exercises Numerical methods for elliptic and parabolic PDEs Gr.2
Do
10.15-12.00

Publications

J.M. Melenk, S. Sauter
Wavenumber-explicit hp-FEM analysis for Maxwell's equations with transparent boundary conditions
2018, submitted    arXiv:1803.01619

I. G. Graham, S. Sauter
Stability and error analysis for the Helmholtz equation with variable coefficients
2018, submitted    arXiv:1803.00966

S. Sauter, C. Torres
Stability estimate for the Helmholtz equation with rapidly jumping coefficients
2017, submitted    arXiv:1711.05430

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, No 3, pp. 515 - 531(2017)    arXiv:1704.01890

M. Grote, M. Mehlin, S. Sauter
Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation
2017, to appear in SIAM, J. Numer. Anal.    arXiv:1703.07965

P. Ciarlet, Jr., Ch.F. Dunkl, S. Sauter
A Family of Crouzeix-Raviart Finite Elements in 3D
2017, to appear in Analysis and Application    arXiv:1703.03224

U. Vögeli, K. Nedaiasl, S. Sauter
A Fully Discrete Galerkin Method for Abel-type Integral Equations
December 2016, to appear in Adv. Comp. Math. PDF  

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

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) 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) 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) PDF  

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

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) 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) PDF  

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

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

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) PDF  

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

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

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) 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) PDF  

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

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, 123(4), pp. 536 - 581 (2013) 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) 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) PDF  

W. Dörfler, S. Sauter
A Posteriori Error Estimation for HighlyIndefinite Helmholtz Problems
Comp. Meth. Appl. Math., Vol 13(3), pp. 333 - 347 (2013) 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., 123, no. 1, 145 - 176 (2013) PDF   additional material

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) PDF  

S. Sauter, A. Veit
A Galerkin Method for Retarded Boundary Integral Equations with Smooth and Compactly Supported Temporal Basis Functions
Numerische Mathematik, Springer, Vol 123(1), pp. 145 - 176 (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) PDF  

D. Braess, S. Sauter, C. Schwab
On the Justification of Plate Models
Journal of Elasticity, Vol 103(1) (2011), pp. 53-71 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, No. 1, pp. 245 - 258 (2012) PDF  

S. Sauter, C. Schwab
Boundary Element Methods, 561 pp,
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) PDF  

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

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) (2011), pp. 651-666   

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) PDF  

D. Peterseim, S. Sauter
Finite element methods for the Stokes problem on complicated domains
Comput. Methods Appl. Mech. Engrg. Vol. 200 (2011), Issues 33-36, pp. 2611-2623 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, No. 3, pp. 665 - 695 (2012) PDF  

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

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) (2010), 587-592   

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 (2010), No. 272, pp 1871-1914 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) (2010), pp. 409-42 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 (2010), No. 1, pp. 95-108 PDF   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 (2009), No 4 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 (2009), pp 158-179 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. (2008), Vol 47, No 1, pp 227-249 PDF  

D. Peterseim, S. Sauter
The Composite Mini Element - Coarse Mesh Computation of Stokes Flows on Complicated Domains
SIAM J. Num. Anal. (2008), Vol 46, No 6, pp 3181-3206 PDF  

I. Babuska, S. Sauter
Efficient Solution of Anisotropic Lattice Equations by the Recovery Method
SIAM, J. Sci. Comput. (2008), Vol 30, No 5, pp 2386-2404 PDF  

I. G. Graham, L. Grasedyck, W. Hackbusch, S. Sauter
Optimal Panel-Clustering in the Presence of Anisotropic Mesh Refinement
SIAM J. Num. Anal. (2008), Vol 46, No 1, pp 517-543 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 to MFO)

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 (2008), Vol 11, No 4-6, pp 363-372 PDF  

W. Kress, S. Sauter
Numerical treatment of Retarded Boundary Integral Equations by Sparse Panel Clustering
IMA J Numer Anal.(2008), Vol 28, pp 162-185 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 (2007), 113 - 134. PDF  

L. Banjai, S. Sauter
A refined Galerkin error and stability analysis for highly indefinite variational problems
SIAM J. on Num. Anal., 45, No. 1 (2007): 37-53 PDF  

S. I. Repin, S. Sauter, A. Smolianski
Two-Sided A Posteriori Error Estimates for Mixed Formulations of Elliptic Problems
SIAM J. Num. Anal. pp 928-945, Vol 45, No 3. 2007. PDF  

W. Hackbusch, B. N. Khoromskij, S. Sauter
Adaptive Galerkin Boundary Element Methods with Panel Clustering
Numer. Math. Vol. 105, No. 4 (2007), 603-631. 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, 2007   

S. Sauter
A Refined Finite Element Convergence Theory for Highly Indefinite Helmholtz Problems
Computing, Vol. 78, No. 2 (2006), 95-120. PDF  

W. Hackbusch, M. Löhndorf, S. Sauter
Coarsening of Finite Element and Boundary Element Spaces
Computing. Vol. 77, No. 3 (2006), 253 - 273 PDF  

S. Nicaise, S. Sauter
Efficient Numerical Solution of Neumann Problems on Complicated Domains
Calcolo. Vol. 43, No. 2 (2006), 95-120. PDF  

S. I. Repin, S. Sauter
Functional A Posteriori Estimates for the Reaction-Diffusion Problem
Comptes rendus Mathematique. Vol. 343, No. 5 (2006), 349-355.   

S. Sauter, R. Warnke
Composite Finite Elements for Elliptic Boundary Value Problems with Discontinuous Coefficients
Computing, Vol. 77, No. 1, pp. 29-55, (2006). PDF  

A. Buffa, S. Sauter
On the acoustic single layer potential: Stabilisation and Fourier analysis
SIAM, J. Sci. Comput. Vol. 28, No. 5 (2006), 1974-1999. PDF  

M. Rech, S. Sauter, A. Smolianski
Two-Scale Composite Finite Element Method for the Dirichlet Problem on Complicated Domains
Numer. Math. Vol. 102, No. 4 (2006), 681-708. 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, (2005) 383-393. PDF  

S. Börm, S. Sauter
Classical BEM with linear complexity
MathComp. 74 (2005) 1139-1177. PDF  

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

S. Sauter, C. Schwab
Randelementmethoden
Teubner (2004)   

F. Liehr, H.-O. Peitgen, T. Preusser, M. Rumpf, S. Sauter, U. Weikard
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, (2004), 303-310.   

I. Babuska, S. Sauter
Algebraic Algorithms for the Analysis of Mechanical Trusses
Math. Comp. 73 (2004), 1601-1622. 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
Math. Comp. 73 (2004), 1107-1138. PDF   Inverse Inequalities on Non-Quasiuniform Mehses and Applications to the Mortar Element Method

S. I. Repin, S. Sauter, A. Smolianski
A Posteriori Error Estimation for the Poisson Equation with Mixed Dirichlet/Neumann Boundary Conditions
JCAM 164-165, 601-612, (2004). 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, (2004), pp. 716-725. PDF  

I. Babuska, S. Sauter
Efficient Solution of Lattice Equations by the Recovery Method. Part 1: Scalar Elliptic Problems
Comp. Vis. Sci. (2004),Vol. 7, No. 3-4, pp. 113-119, Springer-Verlag 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, Number 4, pp. 1435-1451, (2004). PDF  

C. Carstensen, S. Sauter
A posteriori error analysis for elliptic PDEs on domains with complicated structures
Numer. Math. 96, pp. 691--721, (2004) 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, pp 205-233 (2003) PDF  

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

N. Krzebek, S. Sauter
Fast Cluster Techniques for BEM
Eng. Anal. with Boundary Elem., pp. 455-467 (2003) 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 (2001), pp 69-86 PDF  

S. Sauter, C. Lage
Transformation of hypersingular integrals and black-box cubature
Math. Comp. 70 (97-17) pp. 223-250 (2001) PDF  

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

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

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)   

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, pp. 9-30, Springer-Verlag, Heidelberg (2000) PDF  

S. Sauter
Variable order panel clustering
Computing, 64, 223-261 (2000) 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. pp. 179-184. Chapman & Hall/CRC, London (2000)   

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

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) 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.), (1999), pp 177-188.   

S. Sauter, R. Warnke
Extension operators and approximation on domains containing small geometric details
East-West J. Numer. Math. 7 (1999), no. 1, pp. 61-77 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, (1999), pp 37-48. PDF  

W. Hackbusch, S. Sauter
A new finite element approach for problems containing small geometric details
Arch. Math. 34(1) (1998),pp 105-117 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., 33-42 (1998)   

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

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).   

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, 199-224 (1998) 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.), 625-634 (1997)   

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. 75(4), 447-472 (1997) 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 1, 15-25 (1997) 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), 51-76 (1997) PDF  

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

I. Babuska, F. Ihlenburg, S. Sauter
Reliability of finite element methods for the numerical computation of waves
Advances in Engineering Software 28, 417-424 (1997) 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 (1997), pp 98-107.   

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) (1996), 218-219. 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 8, N 9, 31-43 (1996)   

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 (1996), 29-44. PDF  

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

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

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).   

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. 128, pp. 325-359 (1995).   

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. 2. pp. 17-28 (1995).   

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

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

W. Hackbusch, S. Sauter
On the Efficient Use of the Galerkin Method to Solve Fredholm Integral Equations.
Applications of Mathematics, Vol 38, No 4-5, pp 301-322 (1993).   

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. Hackbus
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 4, pp. 124-152, (1992).   

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

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 36, pp. 91-106, (1991).   

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

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GuestStay
Dr. Sarah Eberle, Institut für Mathematik, Goethe-Universität Frankfurt am Main (Frankfurt)
18.11.18 - 23.11.18Sauter, Stefan
Prof. Dr. Steffen Börm, Institut für Informatik, Christian-Albrechts-Universität Kiel (Kiel)
Talk: Hybrid compression of boundary element matrices for high-frequency Helmholtz problems
08.10.18 - 12.10.18Sauter, Stefan
Martha Frysztacki, Friedrich-Alexander Universität Erlangen-Nürnberg (Nürnberg)
13.08.18 - 19.08.18Sauter, Stefan
Prof. Dr. Carsten Carstensen, Institut für Mathematik, Humboldt-Universität Berlin (Berlin)
09.06.18 - 11.06.18Sauter, Stefan
Prof. Dr. Sergey I. Repin, V.A. Steklov Institute of Mathematics at St. Petersburg (St. Peterburg)
Talk: Estimates of the distance to the set of divergence free fields and applications to analysis of incompressible viscous flow problems
23.04.18 - 05.05.18Sauter, Stefan
Prof. Dr. Marcus Grote, Mathematisches Institut, Universität Basel (Basel)
01.02.18 - 02.02.18Sauter, Stefan
Dr. Sarah Eberle, Institut für Mathematik, Goethe-Universität Frankfurt am Main (Frankfurt)
Talk: FEM-BEM coupling for wave-type equations in 3d
01.11.17 - 31.01.18Sauter, Stefan