An interative and multigrid solution of boundary integral equations
✍ Scribed by C. Gáspár
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 757 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0898-1221
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📜 SIMILAR VOLUMES
A multigrid scheme naturally contained in wa¨elet expansion methods is presented. Careful examination of the wa¨elet matrix re¨eals matrix representations of an integral operator at ¨arious coarse le¨els that can be identified as nested submatrices of the original wa¨elet matrix at the finest le¨el.
The classical integral equations which arise from the Dirichlet and Neumann problems for Laplace's equation in two dimensions are discussed. The exact representation of the density function in the neighbourhood of a corner point is found. This is used for an effective treatment of comer singularitie
parametric equations of the given arbitrary contour (assumed convex), and (b) the given arbitrary boundary value function. In a few minutes a solution to the Dirichlet problem will be obtained.