| Title | Laplace's equation and the Dirichlet-Neumann map: a new mode for Mikhlin's method |
| Authors | Johan Helsing, E Wadbro |
| Alternative Location | http://dx.doi.org/10.1016/j..., Restricted Access |
| Publication | JOURNAL OF COMPUTATIONAL PHYSICS |
| Year | 2005 |
| Volume | 202 |
| Issue | 2 |
| Pages | 391 - 410 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Abstract English | Mikhlin's method for solving Laplace's equation in domains exterior to a number of closed contours is discussed with particular emphasis on the Dirichlet-Neutnann map. In the literature there already exit tyro computational modes for Mikhlin's method. Here a new mode is presented. The new mode is at least as stable as the previous modes. Furthermore, its computational complexity in the number of closed contours is better. As a result. highly. accurate solutions in domains exterior to tens of thousands of closed contours can be obtained on a simple workstation. |
| Keywords | fast solvers, integral equation, multiply connected domains, Laplace's equation, exterior problem, Dirichlet-Neumann map, |
| ISBN/ISSN/Other | ISSN: 0021-9991 |
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