Name
Abstract | ||
|---|---|---|
In Grote and Sim (Efficient PML for the wave equation. Preprint, arXiv:1001.0319 [math:NA], 2010; in: Proceedings of the ninth international conference on numerical aspects of wave propagation (WAVES 2009, held in Pau, France, 2009), pp 370–371), a PML formulation was proposed for the wave equation in its standard second-order form. Here, energy decay and $$L^2$$ stability bounds in two and three space dimensions are rigorously proved both for continuous and discrete formulations with constant damping coefficients. Numerical results validate the theory. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1007/s10915-019-01089-9 | Journal of Scientific Computing |
Keywords | DocType | Volume |
Perfectly matched layers, Stability, Numerical stability | Journal | 81 |
Issue | ISSN | Citations |
3 | 0885-7474 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Daniel Baffet | 1 | 0 | 0.34 |
| Marcus J. Grote | 2 | 401 | 51.61 |
| Sébastien Imperiale | 3 | 0 | 0.34 |
| Maryna Kachanovska | 4 | 0 | 0.34 |