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LSIAC-MRA for nonuniform meshes and applications to mesh adaptivity
Colorado Sch Mines, Appl Math & Stat, Golden, CO 80401 USA..
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Numerical Analysis, NA.ORCID iD: 0000-0002-6252-8199
2024 (English)In: Journal of Computational and Applied Mathematics, ISSN 0377-0427, E-ISSN 1879-1778, Vol. 451, article id 116091Article in journal (Refereed) Published
Abstract [en]

In this article we consider the extension of the (L)SIAC-MRA enhancement procedure to nonuniform meshes. We demonstrate that error reduction can be obtained on perturbed quadrilateral and Delaunay meshes, and investigate the effect of limited resolution and its impact on the procedure for various function types. We show that utilizing mesh -based localized kernel scalings, which were shown to reduce approximation errors for LSIAC filters, improve the performance of the LSIAC-MRA enhancement procedure. Lastly, we demonstrate the usefulness of enhanced approximations generated by (L)SIAC-MRA in mesh adaptivity applications, and show that SIAC reconstruction can be used in identification of regions of high error in steady-state DG approximations.

Place, publisher, year, edition, pages
Elsevier BV , 2024. Vol. 451, article id 116091
Keywords [en]
Discontinuous Galerkin, Post-processing, SIAC filtering, Line filtering, Mesh adaptivity, adaptivity Multi-resolution analysis
National Category
Other Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-350800DOI: 10.1016/j.cam.2024.116091ISI: 001264055900001Scopus ID: 2-s2.0-85197092586OAI: oai:DiVA.org:kth-350800DiVA, id: diva2:1885194
Note

QC 20240722

Available from: 2024-07-22 Created: 2024-07-22 Last updated: 2024-07-22Bibliographically approved

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Ryan, Jennifer K.

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