Integral equation methods for elliptic problems with boundary conditions of mixed type
Författare
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.
Avdelning/ar
- Matematik LTH
- Harmonic Analysis and Applications
Publiceringsår
2009
Språk
Engelska
Sidor
8892-8907
Publikation/Tidskrift/Serie
Journal of Computational Physics
Volym
228
Issue
23
Fulltext
- Available as PDF - 358 kB
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Länkar
Dokumenttyp
Artikel i tidskrift
Förlag
Elsevier
Ämne
- Mathematics
Nyckelord
- Second kind integral equation
- Elasticity
- Mixed boundary value problem
- Potential theory
Status
Published
Forskningsgrupp
- Harmonic Analysis and Applications
- Harmonic Analysis and Applications
ISBN/ISSN/Övrigt
- ISSN: 0021-9991