Vanessa Styles 2-Accepted-30.05.20.pdf (702.59 kB)
A practical phase field method for an elliptic surface PDE
journal contribution
posted on 2023-06-07, 07:10 authored by John W Barrett, Klaus Deckelnick, Vanessa StylesVanessa StylesWe 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.
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Publication status
- Published
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- Accepted version
Journal
IMA Journal of Numerical AnalysisISSN
0272-4979Publisher
Oxford University PressExternal DOI
Pages
26.0Department affiliated with
- Mathematics Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2020-06-04First Open Access (FOA) Date
2021-08-20First Compliant Deposit (FCD) Date
2020-06-03Usage metrics
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