Zurich Summer School 2014
Outline18-22 August 2014

Lectures

Lecturer : Prof. Dr. Dirk Praetorius

Adaptive Boundary Element Methods: Error Estimation, Convergence, and Optimality

Lecturer : Prof. Dr. Stefan Sauter

Retarded Potential Integral Equations

Lecturer : Prof. Dr. Ralf Hiptmair

Boundary Integral Equations and the Boundary Element Method

Lecturer : Dr. Toufic Abboud

Time Domain Boundary Element Methods

Lecturer : Prof. Dr. Laurent Demanet

Fast Multipole Methods and Butterfly Algorithms

Lecturer : Prof. Dr. Steffen Boerm

Hierarchical Matrices

MATLAB BEM library Hilbert

MATLAB BEM library Hilbert: documentation and sources

Participants' slides

Slides of Participants can be found here

Literature

Markus Aurada, Samuel Ferraz-Leite, Dirk Praetorius
Estimator reduction and convergence of adaptive BEM

Alain Bossavit
A uniform rationale for Whitney forms on various supporting shapes

Emmanuel Candes, Laurent Demanet, Lexing Ying
A fast butterfly algorithm for the computation of fourier integral operators

C. Carstensen, M. Feischl, M. Page, D. Praetorius
Computers and Mathematics with Applications

Laurent Demanet
Fast algorithms for PDE and integral equations

Björn Engquist and Lexing Ying
Fast directional multilevel algorithms for oscillatory kernels

M. Feischl, M. Karkulik, J. M. Melenk, D. Praetorius
Quasi-optimal convergence rate for an adaptive boundary element method

S. Ferraz-Leite and D. Praetorius
Simple a posteriori error estimators for the h-version of the boundary element method

W. Hackbusch
Hierarchische Matrizen, Algorithmen und Analysis

George C. Hsiao and Wolfgang L. Wendland
Boundary Integral Equations

Stefan A. Sauter and Christoph Schwab
Boundary element methods

Olaf Steinbach
Numerical Approximation Methods for Elliptic Boundary Value Problems

Steffen Börm
Efficient numerical methods for non-local operators: H²-matrix compression, algorithms and analysis", EMS 2010