A Volume Mesh Finite Element Method for Pdes on Surfaces
نویسندگان
چکیده
We treat a surface finite element method that is based on the trace of a standard finite element space on a tetrahedral triangulation of an outer domain that contains a stationary 2D surface. This surface FEM is used to discretize partial differential equation on the surface. We demonstrate the performance of this method for stationary and time-dependent diffusion equations. For the stationary case, results of an adaptive method based on a surface residualtype error indicator are presented. Furthermore, for the advection-dominated case a SUPG stabilization is introduced. The topic of finite element stabilization for advection-dominated surface transport equations has not been addressed in the literature so far. Maxim A. Olshanskii, Arnold Reusken, and Xianmin Xu
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تاریخ انتشار 2012