THE H-P BOUNDARY-ELEMENT METHOD FOR SOLVING 2-DIMENSIONAL AND 3-DIMENSIONAL PROBLEMS

Authors
Citation
Ep. Stephan, THE H-P BOUNDARY-ELEMENT METHOD FOR SOLVING 2-DIMENSIONAL AND 3-DIMENSIONAL PROBLEMS, Computer methods in applied mechanics and engineering, 133(3-4), 1996, pp. 183-208
Citations number
32
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
ISSN journal
00457825
Volume
133
Issue
3-4
Year of publication
1996
Pages
183 - 208
Database
ISI
SICI code
0045-7825(1996)133:3-4<183:THBMFS>2.0.ZU;2-Q
Abstract
In this survey paper we report on recent developments of the hp-versio n of the boundary element method. We consider weakly singular and hype rsingular integral equations on polygons and polyhedral surfaces. We s how that the Galerkin solutions (computed with the hp-version on geome tric meshes) converge exponentially fast towards the exact solutions o f the integral equations. The implementation of the hp-version of the boundary element method is discussed and adaptive algorithms are given . Model problems for the coupling of finite elements and boundary elem ents are also considered. Numerical results are presented which underl ine tile theoretical results.