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 language | English |
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Title of host publication | Advanced Computing in Industrial Mathematics - 11th Annual Meeting of the Bulgarian Section of SIAM, Revised Selected Papers |
Editors | Michail Todorov, Ivan Georgiev, Krassimir Georgiev, Ivan Georgiev |
Publisher | Springer Verlag |
Pages | 11-23 |
Number of pages | 13 |
ISBN (Print) | 9783319655291 |
DOIs | |
State | Published - 2018 |
Event | 11th Annual Meeting of the Bulgarian Section of the Society for Industrial and Applied Mathematics, BGSIAM 2016 - Sofia, Bulgaria Duration: 20 Dec 2016 → 22 Dec 2016 |
Publication series
Name | Studies in Computational Intelligence |
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Volume | 728 |
ISSN (Print) | 1860-949X |
Conference
Conference | 11th Annual Meeting of the Bulgarian Section of the Society for Industrial and Applied Mathematics, BGSIAM 2016 |
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Country/Territory | Bulgaria |
City | Sofia |
Period | 20/12/16 → 22/12/16 |
Bibliographical note
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