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A comparison of splittings and integral equation solvers for a nonseparable elliptic equation

Englund, Jonas LU and Helsing, Johan LU (2004) In BIT Numerical Mathematics 44(4). p.675-697
Abstract
Iterative numerical schemes for solving the electrostatic partial differential equation with variable conductivity, using fast and high-order accurate direct methods for preconditioning, are compared. Two integral method schemes of this type, based on previously suggested splittings of the equation, are proposed, analyzed, and implemented. The schemes are tested for large problems on a square. Particular emphasis is paid to convergence as a function of geometric complexity in the conductivity. Differences in performance of the schemes are predicted and observed in a striking manner.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
fast multipole method, equation, Fredholm integral, nonseparable elliptic PDE, variable coefficients
in
BIT Numerical Mathematics
volume
44
issue
4
pages
675 - 697
publisher
Springer
external identifiers
  • wos:000228638200004
  • scopus:18244374452
ISSN
0006-3835
DOI
10.1007/s10543-004-5242-4
language
English
LU publication?
yes
id
f5e4b063-7849-4a8f-b029-1d2aabad71f0 (old id 244547)
date added to LUP
2007-08-02 13:01:34
date last changed
2017-03-15 09:39:38
@article{f5e4b063-7849-4a8f-b029-1d2aabad71f0,
  abstract     = {Iterative numerical schemes for solving the electrostatic partial differential equation with variable conductivity, using fast and high-order accurate direct methods for preconditioning, are compared. Two integral method schemes of this type, based on previously suggested splittings of the equation, are proposed, analyzed, and implemented. The schemes are tested for large problems on a square. Particular emphasis is paid to convergence as a function of geometric complexity in the conductivity. Differences in performance of the schemes are predicted and observed in a striking manner.},
  author       = {Englund, Jonas and Helsing, Johan},
  issn         = {0006-3835},
  keyword      = {fast multipole method,equation,Fredholm integral,nonseparable elliptic PDE,variable coefficients},
  language     = {eng},
  number       = {4},
  pages        = {675--697},
  publisher    = {Springer},
  series       = {BIT Numerical Mathematics},
  title        = {A comparison of splittings and integral equation solvers for a nonseparable elliptic equation},
  url          = {http://dx.doi.org/10.1007/s10543-004-5242-4},
  volume       = {44},
  year         = {2004},
}