Name
Title | ||
|---|---|---|
A Nyström method for a boundary integral equation related to the Dirichlet problem on domains with corners |
Abstract | ||
|---|---|---|
The authors consider the interior Dirichlet problem for Laplace's equation on planar domains with corners. They provide a complete analysis of a natural method of Nyström type based on the global Gauss---Lobatto quadrature rule, in order to approximate the solution of the corresponding double layer boundary integral equation. Mellin-type integral operators are involved and, as usual, a modification of the method close to the corners is needed. A new modification is proposed and the convergence and stability of the "modified" quadrature method are proved. Some numerical tests are also included. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1007/s00211-014-0657-6 | Numerische Mathematik |
Keywords | Field | DocType |
65R20 | Nyström method,Convergence (routing),Mathematical optimization,Dirichlet problem,Laplace transform,Mathematical analysis,Dirichlet integral,Planar,Operator (computer programming),Gaussian quadrature,Mathematics | Journal |
Volume | Issue | ISSN |
130 | 1 | 0945-3245 |
Citations | PageRank | References |
2 | 0.51 | 6 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Luisa Fermo | 1 | 17 | 4.62 |
| C. Laurita | 2 | 11 | 3.29 |