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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Ostrowski, J. Andjelic, Z. Bebendorf, M. Cranganu-Cretu, B. Smajic, J. |
| Copyright Year | 1965 |
| Abstract | The main problems for applying boundary element methods (BEM) in computational electromagnetism are related to the large memory requirements of the matrices and the convergence of the iterative solver. In this paper, we solve a Laplace problem with mixed boundary conditions by making use of a variational symmetric direct boundary integral equation. The Galerkin discretization results in densely populated matrices that are here compressed by adaptive cross approximation. This leads to an approximation of the underlying BEM-operator by means of so-called hierarchical matrices (H-Matrices). These matrices are then used to construct an effective preconditioner for the iterative solver. Numerical experiments demonstrate the application of the method |
| Sponsorship | IEEE Magnetics Society |
| Starting Page | 627 |
| Ending Page | 630 |
| Page Count | 4 |
| File Size | 481395 |
| File Format | |
| ISSN | 00189464 |
| Volume Number | 42 |
| Issue Number | 4 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2006-04-01 |
| Publisher Place | U.S.A. |
| Access Restriction | One Nation One Subscription (ONOS) |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Boundary conditions Symmetric matrices Integral equations Conductors Boundary element methods Geometry Laplace equations Current density Convergence Iterative methods symbol manipulation Algebra boundary element methods (BEM) boundary integral equations data compression stability |
| Content Type | Text |
| Resource Type | Article |
| Subject | Electronic, Optical and Magnetic Materials Electrical and Electronic Engineering |
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