Integral equation methods for elliptic problems with boundary conditions of mixed type
(2009) In Journal of Computational Physics 228(23). p.8892-8907- Abstract
- Laplace’s equation with mixed boundary conditions, that is, Dirichlet conditions on parts of the boundary and Neumann conditions on the remaining contiguous parts, is solved on an interior planar domain using an integral equation method. Rapid execution and high accuracy is obtained by combining equations which are of Fredholm’s second kind with compact operators on almost the entire boundary with a recursive compressed inverse preconditioning technique. Then an elastic problem with mixed boundary conditions is formulated and solved in an analogous manner and with similar results. This opens up for the rapid and accurate solution of several elliptic problems of mixed type.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1487788
- author
- Helsing, Johan LU
- organization
- publishing date
- 2009
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Second kind integral equation, Elasticity, Mixed boundary value problem, Potential theory
- in
- Journal of Computational Physics
- volume
- 228
- issue
- 23
- pages
- 8892 - 8907
- publisher
- Elsevier
- external identifiers
-
- wos:000271671100021
- scopus:70349745702
- ISSN
- 0021-9991
- DOI
- 10.1016/j.jcp.2009.09.004
- 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
- 17f5a795-89bd-4983-8158-5f2b134a2c39 (old id 1487788)
- alternative location
- http://www.maths.lth.se/na/staff/helsing/JCP09b.pdf
- date added to LUP
- 2016-04-01 12:26:16
- date last changed
- 2022-03-29 00:51:50
@article{17f5a795-89bd-4983-8158-5f2b134a2c39,
abstract = {{Laplace’s equation with mixed boundary conditions, that is, Dirichlet conditions on parts of the boundary and Neumann conditions on the remaining contiguous parts, is solved on an interior planar domain using an integral equation method. Rapid execution and high accuracy is obtained by combining equations which are of Fredholm’s second kind with compact operators on almost the entire boundary with a recursive compressed inverse preconditioning technique. Then an elastic problem with mixed boundary conditions is formulated and solved in an analogous manner and with similar results. This opens up for the rapid and accurate solution of several elliptic problems of mixed type.}},
author = {{Helsing, Johan}},
issn = {{0021-9991}},
keywords = {{Second kind integral equation; Elasticity; Mixed boundary value problem; Potential theory}},
language = {{eng}},
number = {{23}},
pages = {{8892--8907}},
publisher = {{Elsevier}},
series = {{Journal of Computational Physics}},
title = {{Integral equation methods for elliptic problems with boundary conditions of mixed type}},
url = {{https://lup.lub.lu.se/search/files/2923282/3878575.pdf}},
doi = {{10.1016/j.jcp.2009.09.004}},
volume = {{228}},
year = {{2009}},
}