Name
Title | ||
|---|---|---|
Wavenumber Explicit Analysis for Galerkin Discretizations of Lossy Helmholtz Problems |
Abstract | ||
|---|---|---|
We present a stability and convergence theory for the lossy Helmholtz equation and its Galerkin discretization. The boundary conditions are of Robin type. All estimates are explicit with respect to the real and imaginary parts of the complex wavenumber zeta is an element of C, Red zeta >= 0, vertical bar zeta vertical bar >= 1. For the extreme cases zeta is an element of iR and zeta is an element of R->= 0, the estimates coincide with the existing estimates in the literature and exhibit a seamless transition between these cases in the right complex half plane. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1137/19M1253952 | SIAM JOURNAL ON NUMERICAL ANALYSIS |
Keywords | DocType | Volume |
Helmholtz equation,stability,hp-finite elements | Journal | 58 |
Issue | ISSN | Citations |
4 | 0036-1429 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jens Markus Melenk | 1 | 133 | 24.18 |
| Stefan Sauter | 2 | 87 | 6.98 |
| Céline Torres | 3 | 0 | 0.34 |