Scott Congreve
Adaptive refinement for hp-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem
Congreve, Scott; Houston, Paul; Perugia, Ilaria
Authors
PAUL HOUSTON PAUL.HOUSTON@NOTTINGHAM.AC.UK
Professor of Computational and Applied Maths
Ilaria Perugia
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.
Citation
Congreve, S., Houston, P., & Perugia, I. (2019). Adaptive refinement for hp-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem. Advances in Computational Mathematics, 45(1), 361-393. https://doi.org/10.1007/s10444-018-9621-9
Journal Article Type | Article |
---|---|
Acceptance Date | Jun 19, 2018 |
Online Publication Date | Jul 16, 2018 |
Publication Date | Feb 28, 2019 |
Deposit Date | Jun 22, 2018 |
Publicly Available Date | Mar 29, 2024 |
Journal | Advances in Computational Mathematics |
Print ISSN | 1019-7168 |
Electronic ISSN | 1572-9044 |
Publisher | Springer Verlag |
Peer Reviewed | Peer Reviewed |
Volume | 45 |
Issue | 1 |
Pages | 361-393 |
DOI | https://doi.org/10.1007/s10444-018-9621-9 |
Public URL | https://nottingham-repository.worktribe.com/output/946924 |
Publisher URL | https://link.springer.com/article/10.1007/s10444-018-9621-9 |
Files
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