| Title | Faster convergence and higher accuracy for the Dirichlet-Neumann map |
| Authors | Johan Helsing |
| Full-text | Available as PDF, Restricted Access |
| Alternative Location | http://www.maths.lth.se/na/... |
| Alternative Location | http://dx.doi.org/10.1016/j..., Restricted Access |
| Publication | Journal of Computational Physics |
| Year | 2009 |
| Volume | 228 |
| Issue | 7 |
| Pages | 2578 - 2586 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Elsevier Inc. |
| Abstract English | New techniques allow for more efficient boundary integral algorithms to compute the Dirichlet–Neumann map for Laplace’s equation in two-dimensional exterior domains. Novelties include a new post-processor which reduces the need for discretization points with 50%, a new integral equation which reduces the error for resolved geometries with a factor equal to the system size, systematic use of regularization which reduces the error even further, and adaptive mesh generation based on kernel resolution. |
| Keywords | Fast multipole method, Integral equations, Dirichlet–Neumann map, Potential theory, Nyström method, |
| ISBN/ISSN/Other | ISSN: 0021-9991 |
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