An Embedded Compact Scheme for Biharmonic Problems in Irregular Domains

Matania Ben-Artzi, Jean Pierre Croisille*, Dalia Fishelov

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

In Ben-Artzi et al. (SIAM J Numer Anal 47:3087–3108 (2009), [1]) a Cartesian embedded finite difference scheme for biharmonic problems has been introduced. The design of the scheme relies on a 19-dimensional polynomial space. In this paper, we show how to simplify the implementation by introducing a directional decomposition of this space. The boundary is handled via a level-set approach. Numerical results for non convex domains demonstrate the fourth order accuracy of the scheme.

Original languageEnglish
Title of host publicationAdvanced Computing in Industrial Mathematics - 11th Annual Meeting of the Bulgarian Section of SIAM, Revised Selected Papers
EditorsMichail Todorov, Ivan Georgiev, Krassimir Georgiev, Ivan Georgiev
PublisherSpringer Verlag
Pages11-23
Number of pages13
ISBN (Print)9783319655291
DOIs
StatePublished - 2018
Event11th Annual Meeting of the Bulgarian Section of the Society for Industrial and Applied Mathematics, BGSIAM 2016 - Sofia, Bulgaria
Duration: 20 Dec 201622 Dec 2016

Publication series

NameStudies in Computational Intelligence
Volume728
ISSN (Print)1860-949X

Conference

Conference11th Annual Meeting of the Bulgarian Section of the Society for Industrial and Applied Mathematics, BGSIAM 2016
Country/TerritoryBulgaria
CitySofia
Period20/12/1622/12/16

Bibliographical note

Publisher Copyright:
© 2018, Springer International Publishing AG.

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