Numerical techniques for surface PDEs. Review of approaches

Savenkov E. B.

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 elelements method

Publication language: russian, pages: 18

Research direction:

Mathematical modelling in actual problems of science and technics

Russian source text:

List of publications citation:

Export link to publication in format:

View statistics (updated once a day)
over the last 30 days — 8 (-5), total hit from 24.01.2020 — 329

About authors:

Savenkov Evgeny Borisovich, , ,