Name
Abstract | ||
|---|---|---|
One particular strength of the boundary element method is that it allows for a high-order pointwise approximation of the solution of the related partial differential equation via the representation formula. However, the high-order convergence and hence accuracy usually suffers from singularities of the Cauchy data. We propose two adaptive mesh-refining algorithms and prove their quasi-optimal convergence behavior with respect to an a posteriori computable bound for the point error in the representation formula. Numerical examples for the weakly-singular integral equations for the 2D and 3D Laplacian underline our theoretical findings. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1007/s00211-015-0727-4 | Numerische Mathematik |
Keywords | Field | DocType |
65N38, 65N50, 41A25, 65Y20 | Convergence (routing),Order of accuracy,Mathematical optimization,Mathematical analysis,Integral equation,Cauchy distribution,Boundary element method,Partial differential equation,Mathematics,Modes of convergence,Pointwise | Journal |
Volume | Issue | ISSN |
132 | 3 | 0945-3245 |
Citations | PageRank | References |
0 | 0.34 | 13 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| M Feischl | 1 | 52 | 7.67 |
| gregor gantner | 2 | 3 | 1.77 |
| alexander haberl | 3 | 0 | 0.34 |
| Dirk Praetorius | 4 | 121 | 22.50 |
| Thomas Führer | 5 | 37 | 11.17 |