Name
Title | ||
|---|---|---|
Adaptive refinement for hp-Version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem. |
Abstract | ||
|---|---|---|
In this article, we develop an hp-adaptive refinement procedure for Trefftz discontinuous Galerkin methods applied to the homogeneous Helmholtz problem. Our approach combines not only mesh subdivision (h---refinement) and local basis enrichment (p---refinement), but also incorporates local directional adaptivity, whereby the elementwise plane wave basis is aligned with the dominant scattering direction. Numerical experiments based on employing an empirical a posteriori error indicator clearly highlight the efficiency of the proposed approach for various examples.
|
Year | DOI | Venue |
|---|---|---|
2019 | 10.1007/s10444-018-9621-9 | Adv. Comput. Math. |
Keywords | Field | DocType |
35J05, 65N30, 65N50, Adaptivity, Discontinuous Galerkin methods, Homogeneous Helmholtz problem, Trefftz methods, hp-finite element methods | Discontinuous Galerkin method,Mathematical optimization,Plane wave,Adaptive refinement,Mathematical analysis,Homogeneous,A priori and a posteriori,Helmholtz free energy,Subdivision,Scattering,Mathematics | Journal |
Volume | Issue | ISSN |
45 | 1 | 1019-7168 |
Citations | PageRank | References |
0 | 0.34 | 9 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Scott Congreve | 1 | 3 | 1.46 |
| Paul Houston | 2 | 172 | 15.86 |
| Ilaria Perugia | 3 | 534 | 134.99 |