A robust and accurate solver of Laplace’s equation with general boundary conditions on general domains in the plane
(2012) In Journal of Computational Mathematics 30(4). p.433-448- Abstract
- A robust and general solver for Laplace’s equation on the interior of a simply connected
domain in the plane is described and tested. The solver handles general piecewise smooth
domains and Dirichlet, Neumann, and Robin boundary conditions. It is based on an
integral equation formulation of the problem. Difficulties due to changes in boundary
conditions and corners, cusps, or other examples of non-smoothness of the boundary are
handled using a recent technique called recursive compressed inverse preconditioning. The
result is a rapid and very accurate solver which is general in scope, its performance is
demonstrated via some challenging numerical tests.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2971888
- author
- Ojala, Rikard LU
- organization
- publishing date
- 2012
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Laplace's equation, Integral equations, mixed boundary conditions, Robin boundary conditions
- in
- Journal of Computational Mathematics
- volume
- 30
- issue
- 4
- pages
- 433 - 448
- publisher
- Global Science Press
- external identifiers
-
- wos:000308511900007
- scopus:84867069141
- ISSN
- 0254-9409
- DOI
- 10.4208/jcm.1201-m3644
- 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
- a79e8d43-9e26-48f5-91d8-19f629b80efb (old id 2971888)
- alternative location
- http://www.maths.lth.se/na/staff/helsing/LaplaceOjala.pdf
- date added to LUP
- 2016-04-01 10:30:21
- date last changed
- 2022-01-25 23:54:14
@article{a79e8d43-9e26-48f5-91d8-19f629b80efb, abstract = {{A robust and general solver for Laplace’s equation on the interior of a simply connected<br/><br> domain in the plane is described and tested. The solver handles general piecewise smooth<br/><br> domains and Dirichlet, Neumann, and Robin boundary conditions. It is based on an<br/><br> integral equation formulation of the problem. Difficulties due to changes in boundary<br/><br> conditions and corners, cusps, or other examples of non-smoothness of the boundary are<br/><br> handled using a recent technique called recursive compressed inverse preconditioning. The<br/><br> result is a rapid and very accurate solver which is general in scope, its performance is<br/><br> demonstrated via some challenging numerical tests.}}, author = {{Ojala, Rikard}}, issn = {{0254-9409}}, keywords = {{Laplace's equation; Integral equations; mixed boundary conditions; Robin boundary conditions}}, language = {{eng}}, number = {{4}}, pages = {{433--448}}, publisher = {{Global Science Press}}, series = {{Journal of Computational Mathematics}}, title = {{A robust and accurate solver of Laplace’s equation with general boundary conditions on general domains in the plane}}, url = {{https://lup.lub.lu.se/search/files/1903088/4254528.pdf}}, doi = {{10.4208/jcm.1201-m3644}}, volume = {{30}}, year = {{2012}}, }