Skip to main content

Research Repository

Advanced Search

Adaptive refinement for hp-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem

Congreve, Scott; Houston, Paul; Perugia, Ilaria

Adaptive refinement for hp-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem Thumbnail


Authors

Scott Congreve

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 Jul 17, 2019
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




You might also like



Downloadable Citations