Ebook: Boundary Elements: Implementation and Analysis of Advanced Algorithms: Proceedings of the Twelfth GAMM-Seminar Kiel, January 19–21, 1996
- Tags: Engineering general
- Series: Notes on Numerical Fluid Mechanics (NNFM) 50
- Year: 1996
- Publisher: Vieweg+Teubner Verlag
- Edition: 1
- Language: English
- pdf
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.
Zielgruppe
Str?mungsmechaniker, Mathematiker, Computerwissenschaftler
Zielgruppe
Str?mungsmechaniker, Mathematiker, Computerwissenschaftler
Content:
Front Matter....Pages i-vi
Multiscale Methods for Boundary Integral Equations and Their Application to Boundary Value Problems in Scattering Theory and Geodesy....Pages 1-28
Cubature Techniques for 3-D Galerkin Bem....Pages 29-44
A Galerkin-Type Boundary Element Implementation for 3d Elasticity Problems by Using a Computer Algebra System....Pages 45-56
Preconditioning Boundary Element Equations....Pages 57-67
Local A-Posteriori Error Estimators for the Discretization of Boundary Integral Equations....Pages 68-81
On Spline Approximation Methods for Singular Integral Equations over Plane Domains....Pages 82-91
Hierarchical Basis Preconditioners for Coupled Fem-Bem Equations....Pages 92-101
Multigrid and Multipole Techniques in the Boundary Integral Equation Methods....Pages 102-114
Rapid Parallel Evaluation of Integrals in Potential Theory on General Three Dimensional Regions....Pages 115-125
Additive Schwarz Methods for Weakly Singular Integral Equations In R3 — The P-Version....Pages 126-135
Adaptive Schemes for Multiscale Discretisations of Boundary Integral Equations....Pages 136-146
Domain Decomposition Boundary Element Methods: Preprocessing and Parallel Solution....Pages 147-158
Object Oriented Design Aspects for Boundary Element Methods....Pages 159-170
Parallel Setup of Galerkin Equation System for a Geodetic Boundary Value Problem....Pages 171-181
On the Implementation of the h-p Boundary Element Method on Curved Surfaces....Pages 182-193
A Symmetrical Boundary Element Formulation for Sound Transmission Through Cabin Walls....Pages 194-206
An Extraction Technique for Boundary Element Methods....Pages 207-218
Fast Solvers for the Symmetric Boundary Element Method....Pages 219-231
A Two Grid Method for Coupling Fem and Bem in Elasticity....Pages 232-242
Back Matter....Pages 243-254
A Multipole Boundary Element Method for Two Dimensional Elastostatics....Pages 268-274
....Pages 255-267