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Optimal Error Estimates of the Local Discontinuous Galerkin Method for Surface Diffusion of Graphs on Cartesian Meshes

✍ Scribed by Liangyue Ji; Yan Xu

Book ID
113071778
Publisher
Springer US
Year
2011
Tongue
English
Weight
823 KB
Volume
51
Category
Article
ISSN
0885-7474

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πŸ“œ SIMILAR VOLUMES

Error estimates of the semi-discrete loc
Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection–diffusion and KdV equations
✍ Yan Xu; Chi-Wang Shu πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 364 KB

In this paper, we provide L 2 error estimates for the semi-discrete local discontinuous Galerkin methods for nonlinear convection-diffusion equations and KdV equations with smooth solutions. The main technical difficulty is the control of the inter-element jump terms which arise because of the nonli