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

Helsing, Johan LU and Wadbro, E (2005) In Journal of Computational Physics 202(2). p.391-410
Abstract
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.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
fast solvers, integral equation, multiply connected domains, Laplace's equation, exterior problem, Dirichlet-Neumann map
in
Journal of Computational Physics
volume
202
issue
2
pages
391 - 410
publisher
Elsevier
external identifiers
  • wos:000225741800001
  • scopus:10244259131
ISSN
0021-9991
DOI
10.1016/j.jcp.2004.06.024
language
English
LU publication?
yes
id
de2344fd-dc9a-47ff-9475-beca85b0c2be (old id 258453)
date added to LUP
2007-08-16 13:52:01
date last changed
2017-05-28 03:29:14
@article{de2344fd-dc9a-47ff-9475-beca85b0c2be,
  abstract     = {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.},
  author       = {Helsing, Johan and Wadbro, E},
  issn         = {0021-9991},
  keyword      = {fast solvers,integral equation,multiply connected domains,Laplace's equation,exterior problem,Dirichlet-Neumann map},
  language     = {eng},
  number       = {2},
  pages        = {391--410},
  publisher    = {Elsevier},
  series       = {Journal of Computational Physics},
  title        = {Laplace's equation and the Dirichlet-Neumann map: a new mode for Mikhlin's method},
  url          = {http://dx.doi.org/10.1016/j.jcp.2004.06.024},
  volume       = {202},
  year         = {2005},
}