Identifier: 2008-15
Author(s): Y. Xu and C.-W. Shu
Title: Local discontinuous Galerkin method for surface diffusion and Willmore flow of graphs
Page count: 22 pp.
Date: 2008-01-01
Abstract:
In this paper, we develop a local discontinuous Galerkin (LDG) finite element method for surface diffusion and Willmore flow of graphs. We prove L2 stability for the equation of surface diffusion of graphs and energy stability for the equation of Willmore flow of graphs. We provide numerical simulation results for different types of solutions of these two types of the equations to illustrate the accuracy and capability of the LDG method.
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