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Finite element methods for surface PDEs
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DOI：10.1017/S0962492913000056.png)
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摘要
En 中文
In this article we consider finite element methods for approximating the solution of partial differential equations on surfaces. We focus on surface finite elements on triangulated surfaces, implicit surface methods using level set descriptions of the surface, unfitted finite element methods and diffuse interface methods. In order to formulate the methods we present the necessary geometric analysis and, in the context of evolving surfaces, the necessary transport formulae. A wide variety of equations and applications are covered. Some ideas of the numerical analysis are presented along with illustrative numerical examples.
Keyword:
PARTIAL-DIFFERENTIAL-EQUATIONS
GENERIC GRID INTERFACE
CAHN-HILLIARD EQUATION
ELLIPTIC-EQUATIONS
NUMERICAL COMPUTATION
DIFFUSION EQUATION
PHASE-SEPARATION
VOLUME METHOD
SOLVING PDES
APPROXIMATION
期刊
IF:
11.3
论文数:
89
被引数:
3.4K
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