Optimal Error Estimates of the Local Discontinuous Galerkin Method for Willmore Flow of Graphs on Cartesian Meshes
Year: 2011
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 2 : pp. 252–283
Abstract
In this paper, we analyze a local discontinuous Galerkin method for the willmore flow of graphs. We derive the optimal error estimates for this nonlinear equation in one-dimension and in multi-dimensions for Cartesian meshes using completely discontinuous piecewise polynomial space with degree $k \leq 1$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2011-IJNAM-685
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 2 : pp. 252–283
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 32
Keywords: local discontinuous Galerkin method Willmore flow of graphs stability error estimates.