Name
Abstract | ||
|---|---|---|
We prove local inverse-type estimates for the four non-local boundary integral operators associated with the Laplace operator on a bounded Lipschitz domain Omega in R-d for d >= 2 with piecewise smooth boundary. For piecewise polynomial ansatz spaces and is an element of {2, 3}, the inverse estimates are explicit in both the local mesh width and the approximation order. An application to efficiency-type estimates in a posteriori error estimation in boundary element methods is given. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1090/mcom/3175 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
Boundary element method,inverse estimates,adaptivity,efficiency,hp-finite element spaces | Boundary knot method,Ansatz,Mathematical optimization,Mathematical analysis,Lipschitz domain,Operator (computer programming),Boundary element method,Piecewise,Mathematics,Bounded function,Laplace operator | Journal |
Volume | Issue | ISSN |
86 | 308 | 0025-5718 |
Citations | PageRank | References |
5 | 0.47 | 8 |
Authors | ||
6 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Markus Aurada | 1 | 11 | 1.67 |
| M Feischl | 2 | 52 | 7.67 |
| Thomas Führer | 3 | 37 | 11.17 |
| Michael Karkulik | 4 | 47 | 6.50 |
| Jens Markus Melenk | 5 | 133 | 24.18 |
| Dirk Praetorius | 6 | 121 | 22.50 |