Boundary Elements: Implementation and Analysis of Advanced Algorithms Proceedings of the Twelfth GAMM-Seminar Kiel, January 19–21, 1996

The GAMM Committee for "Efficient Numerical Methods for Partial Differential Equations" organizes seminars and workshops on subjects concerning the algorithmic treatment of partial differential equations. The topics are discretisation methods like the finite element and the boundary element method for various type of applications in struc­ tural and fluid mechanics. Particular attention is devoted to advanced solution method". The latest seminar in this series was the 12th Kiel-Seminar which took place on January 19-21, 1996 at Christian-Albrechts-University of Kiel and focussed on the topic Boundary Elements: Implementation and Analysis of Advanced Algorithms. The seminar was attended by 65 scientists from 10 countries. 23 lectures were given, including two survey lectures. In the last years, a remarkable progress in the numerical treatment of boundary de­ ment methods (BEM) has been obtained in Germany. This is, in particular, a res~I1t of a Schwerpunktverfahren supported by the DFG. Many aspects of the BEM are not ouly analysed but also implemented. Therefore, these proceedings present a number of papers on implementational aspects besides the analysis of advanced techniques.

Multiscale methods for boundary integral equations and their application to boundary value problems in scattering theory and geodesy.- Cubature techniques for 3-D Galerkin BEM.- A Galerkin-type boundary element implementation for 3D elasticity problems by using a computer algebra system.- Preconditioning boundary element equations.- Local a-posteriori error estimators for the discretization of boundary integral equations.- On spline approximation methods for singular integral equations over plane domains.- Hierarchical basis preconditioned for coupled FEM-BEM equations.- Multigrid and multipole techniques in the boundary integral equation methods.- Rapid parallel evaluation of integrals in potential theory on general three dimensional regions.- Additive Schwarz methods for weakly singular integral equations in IR3 — the p-version.- Adaptive schemes for multiscale discretisations of boundary integral equations.- Domain decomposition boundary element methods: preprocessing and parallel solution.- Object oriented design aspects for boundary element methods.- Parallel setup for Galerkin equation system for a geodetic boundary value problem.- On the implementation of the h-p-boundary element method on curved surfaces.- Realization of hp-Galerkin BEM in IR3.- A symmetrical boundary element formulation for sound transmission through cabin walls.- An extraction technique for boundary element methods.- Fast solvers for the symmetric boundary element method.- A two-grid method for coupling FEM and BEM in elasticity.- A multipole boundary element method for two dimensional elastostatics.- List of participants.- How to contact the authors by email.