Laplace's equation and the Dirichlet-Neumann map: a new mode for Mikhlin's method

JOURNAL OF COMPUTATIONAL PHYSICS

卷:202

Article

Helsing, J ; Wadbro, E

关键词: Laplace's equation;    exterior problem;    multiply connected domains;    integral equation;    fast solvers;    Dirichlet-Neumann map;   

DOI  :  10.1016/j.jcp.2004.06.024

来源: Elsevier

【 摘 要 】

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. (C) 2004 Elsevier Inc. All rights reserved.

【 授权许可】

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