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This article is cited in 4 scientific papers (total in 4 papers)
Numerical techniques for surface PDEs. Review of approaches
E. B. Savenkov
Abstract:
In this paper we briefly review numerical techniques for solution of parabolic and elliptic PDEs defined on 2D surfaces embedded into 3D space. Special attention is paid to the case of implicitly defined surfaces. We present description of main trends on construction of such algorithms.
Keywords:
surface PDEs, levelset method, closest point projection method, finite elements method.
Citation:
E. B. Savenkov, “Numerical techniques for surface PDEs. Review of approaches”, Keldysh Institute preprints, 2020, 005, 18 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp2796 https://www.mathnet.ru/eng/ipmp/y2020/p5
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