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

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Author

Summary, in 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.

Department/s

Publishing year

2005

Language

English

Pages

391-410

Publication/Series

Journal of Computational Physics

Volume

202

Issue

2

Document type

Journal article

Publisher

Elsevier

Topic

  • Mathematics

Keywords

  • fast solvers
  • integral equation
  • multiply connected domains
  • Laplace's equation
  • exterior problem
  • Dirichlet-Neumann map

Status

Published

Research group

  • Harmonic Analysis and Applications
  • Harmonic Analysis and Applications

ISBN/ISSN/Other

  • ISSN: 0021-9991