A comparison of splittings and integral equation solvers for a nonseparable elliptic equation
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/244547
- author
- Englund, Jonas LU and Helsing, Johan LU
- organization
- publishing date
- 2004
- 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
- additional info
- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004)
- id
- f5e4b063-7849-4a8f-b029-1d2aabad71f0 (old id 244547)
- date added to LUP
- 2016-04-01 16:59:17
- date last changed
- 2022-01-28 23:33:54
@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}}, keywords = {{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 = {{https://lup.lub.lu.se/search/files/4839112/3878564.pdf}}, doi = {{10.1007/s10543-004-5242-4}}, volume = {{44}}, year = {{2004}}, }