Integral equation methods for elliptic problems with boundary conditions of mixed type
Author
Summary, in English
Laplace’s equation with mixed boundary conditions, that is, Dirichlet conditions on parts of the boundary and Neumann conditions on the remaining contiguous parts, is solved on an interior planar domain using an integral equation method. Rapid execution and high accuracy is obtained by combining equations which are of Fredholm’s second kind with compact operators on almost the entire boundary with a recursive compressed inverse preconditioning technique. Then an elastic problem with mixed boundary conditions is formulated and solved in an analogous manner and with similar results. This opens up for the rapid and accurate solution of several elliptic problems of mixed type.
Department/s
- Mathematics (Faculty of Engineering)
- Harmonic Analysis and Applications
Publishing year
2009
Language
English
Pages
8892-8907
Publication/Series
Journal of Computational Physics
Volume
228
Issue
23
Full text
- Available as PDF - 358 kB
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Links
Document type
Journal article
Publisher
Elsevier
Topic
- Mathematics
Keywords
- Second kind integral equation
- Elasticity
- Mixed boundary value problem
- Potential theory
Status
Published
Research group
- Harmonic Analysis and Applications
- Harmonic Analysis and Applications
ISBN/ISSN/Other
- ISSN: 0021-9991