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Local Discontinuous Galerkin Finite Element Method and Error Estimates for One Class of Sobolev Equation

✍ Scribed by Fuzheng Gao; Jianxian Qiu; Qiang Zhang

Publisher
Springer US
Year
2009
Tongue
English
Weight
647 KB
Volume
41
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