Optimal error estimates of the local discontinuous galerkin method for willmore flow of graphs on cartesian meshes

Liangyue Ji; Yan Xu

Optimal error estimates of the local discontinuous galerkin method for willmore flow of graphs on cartesian meshes

Liangyue Ji, Yan Xu

Mathematics

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

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≥1.

Original language	English (US)
Pages (from-to)	252-283
Number of pages	32
Journal	International Journal of Numerical Analysis and Modeling
Volume	8
Issue number	2
State	Published - Jan 12 2011

Keywords

Error estimates
Local discontinuous galerkin method
Stability
Willmore flow of graphs

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Optimal error estimates of the local discontinuous galerkin method for willmore flow of graphs on cartesian meshes

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Keywords

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