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

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.

• Författare: Johan Helsing; E Wadbro
• Avdelning/ar: Matematik LTH; Harmonic Analysis and Applications
• Publiceringsår: 2005
• Språk: Engelska
• Sidor: 391-410
• Publikation/Tidskrift/Serie: Journal of Computational Physics
• Volym: 202
• Issue: 2
• Fulltext: - 2 MB; Download statistics
• Länkar: http://dx.doi.org/10.1016/j.jcp.2004.06.024
• Dokumenttyp: Artikel i tidskrift
• Förlag: Elsevier
• Ämne: Mathematics
• Nyckelord: fast solvers; integral equation; multiply connected domains; Laplace's equation; exterior problem; Dirichlet-Neumann map
• Status: Published
• Forskningsgrupp: Harmonic Analysis and Applications; Harmonic Analysis and Applications
• ISBN/ISSN/Övrigt: ISSN: 0021-9991