English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this article we develop an $hp$-adaptive refinement procedure for Trefftzdiscontinuous Galerkin methods applied to the homogeneous Helmholtz problem.Our approach combines not only mesh subdivision (h-refinement) and local basisenrichment (p-refinement), but also incorporates local directional adaptivity,whereby the elementwise plane wave basis is aligned with the dominantscattering direction. Numerical experiments based on employing an empirical aposteriori error indicator clearly highlight the efficiency of the proposedapproach for various examples.

Adaptive Refinement for $hp$-Version Trefftz Discontinuous Galerkin Methods for the Homogeneous Helmholtz Problem