期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
卷 104, 期 7, 页码 502-512出版社
WILEY-BLACKWELL
DOI: 10.1002/nme.4892
关键词
mean curvature; Laplace-Beltrami operator; level set; ghost penalty stabilization
资金
- Swedish Foundation for Strategic Research [AM13-0029]
- Swedish Research Council [2011-4992, 2013-4708]
We suggest a finite element method for finding minimal surfaces based on computing a discrete Laplace-Beltrami operator operating on the coordinates of the surface. The surface is a discrete representation of the zero level set of a distance function using linear tetrahedral finite elements, and the finite element discretization is carried out on the piecewise planar isosurface using the shape functions from the background three-dimensional mesh used to represent the distance function. A recently suggested stabilized scheme for finite element approximation of the mean curvature vector is a crucial component of the method. Copyright (C) 2015 John Wiley & Sons, Ltd.
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