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Error analysis of the semi-discrete local discontinuous Galerkin method for semiconductor device simulation models

✍ Scribed by YunXian Liu; Chi-Wang Shu


Book ID
107348307
Publisher
SP Science China Press
Year
2010
Tongue
English
Weight
346 KB
Volume
53
Category
Article
ISSN
1674-7283

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Error estimates of the semi-discrete loc
✍ Yan Xu; Chi-Wang Shu 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 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