Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 2578-2586 |
| Journal | Journal of Computational Physics |
| Volume | 228 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 2009 |
Bibliographical note
The information about affiliations in this record was updated in December 2015.The record was previously connected to the following departments: Numerical Analysis (011015004)
Subject classification (UKÄ)
- Mathematics
Free keywords
- Fast multipole method
- Integral equations
- Dirichlet–Neumann map
- Potential theory
- Nyström method