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

Research output: Contribution to journalArticle


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.


Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics


  • fast solvers, integral equation, multiply connected domains, Laplace's equation, exterior problem, Dirichlet-Neumann map
Original languageEnglish
Pages (from-to)391-410
JournalJournal of Computational Physics
Issue number2
Publication statusPublished - 2005
Publication categoryResearch

Bibliographic note

The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004)

Total downloads

No data available