This paper is intended to present wavelet Galerkin
schemes for the boundary element method.
Wavelet Galerkin schemes employ appropriate
wavelet bases for the discretization of boundary
integral operators. This yields quasisparse system
matrices which can be compressed to O(N_J)
relevant matrix entries without compromising the
accuracy of the underlying Galerkin scheme.
Herein, O(N_J) denotes the number of unknowns.
The assembly of the compressed system matrix
can be performed in O(N_J) operations. Therefore,
we arrive at an algorithm which solves boundary
integral equations within optimal complexity.
By numerical experiments we provide results which
corroborate the theory.
| Identifer | oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:18484 |
| Date | 04 April 2006 |
| Creators | Harbrecht, Helmut, Schneider, Reinhold |
| Publisher | Technische Universität Chemnitz |
| Source Sets | Hochschulschriftenserver (HSSS) der SLUB Dresden |
| Language | English |
| Detected Language | English |
| Type | doc-type:preprint, info:eu-repo/semantics/preprint, doc-type:Text |
| Source | Preprintreihe des Chemnitzer SFB 393, 02-05 |
| Rights | info:eu-repo/semantics/openAccess |
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