THE HP-VERSION OF THE BOUNDARY-ELEMENT METHOD FOR HELMHOLTZ SCREEN PROBLEMS

Authors
HOLM H MAISCHAK M STEPHAN EP
Citation
H. Holm et al., THE HP-VERSION OF THE BOUNDARY-ELEMENT METHOD FOR HELMHOLTZ SCREEN PROBLEMS, Computing, 57(2), 1996, pp. 105-134
Citations number
22
Categorie Soggetti
Computer Sciences","Computer Science Theory & Methods
Journal title
Computing → ACNP
ISSN journal
0010485X
Volume
57
Issue
2
Year of publication
1996
Pages
105 - 134
Database
ISI
SICI code
0010-485X(1996)57:2<105:THOTBM>2.0.ZU;2-D
Abstract
We study the boundary element method for weakly singular and hypersing ular integral equations of the first kind on screens resulting from th e Dirichlet and Neumann problems for the Helmholtz equation. it is sho wn that the hp-version with geometrical refined meshes converges expon entially fast in both cases. We underline our theoretical results by n umerical experiments for the pure h-, p-versions, the graded mesh and the hp-version with geometrically refined mesh.