| Title | A robust and accurate solver of Laplace’s equation with general boundary conditions on general domains in the plane |
| Authors | Rikard Ojala |
| Alternative Location | http://www.maths.lth.se/na/... |
| Alternative Location | http://dx.doi.org/10.4208/j... |
| Publication | Journal of Computational Mathematics |
| Year | 2012 |
| Volume | 30 |
| Issue | 4 |
| Pages | 433 - 448 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Global Science Press |
| Abstract English | A robust and general solver for Laplace’s equation on the interior of a simply connected<br> domain in the plane is described and tested. The solver handles general piecewise smooth<br> domains and Dirichlet, Neumann, and Robin boundary conditions. It is based on an<br> integral equation formulation of the problem. Difficulties due to changes in boundary<br> conditions and corners, cusps, or other examples of non-smoothness of the boundary are<br> handled using a recent technique called recursive compressed inverse preconditioning. The<br> result is a rapid and very accurate solver which is general in scope, its performance is<br> demonstrated via some challenging numerical tests. |
| Keywords | Laplace's equation, Integral equations, mixed boundary conditions, Robin boundary conditions, |
| ISBN/ISSN/Other | ISSN: 1991-7139 (online) |
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Last update: 2013-04-11
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