A practical phase field method for an elliptic surface PDE
IMA Journal of Numerical Analysis, ISSN: 1464-3642, Vol: 41, Issue: 3, Page: 1668-1695
2021
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
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Article Description
We consider a diffuse interface approach for solving an elliptic PDE on a given closed hypersurface. The method is based on a (bulk) finite element scheme employing numerical quadrature for the phase field function and hence is very easy to implement compared to other approaches. We estimate the error in natural norms in terms of the spatial grid size, the interface width and the order of the underlying quadrature rule. Numerical test calculations are presented, which confirm the form of the error bounds.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85121767733&origin=inward; http://dx.doi.org/10.1093/imanum/draa042; https://academic.oup.com/imajna/article/41/3/1668/5893597; http://academic.oup.com/imajna/article-pdf/41/3/1668/38983481/draa042.pdf; https://dx.doi.org/10.1093/imanum/draa042; https://academic.oup.com/imajna/article-abstract/41/3/1668/5893597?redirectedFrom=fulltext
Oxford University Press (OUP)
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