Estimating spatial and parameter error in parameterized nonlinear reaction-diffusion equations
β Scribed by Carnes, B. R. ;Carey, G. F.
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 255 KB
- Volume
- 23
- Category
- Article
- ISSN
- 1069-8299
- DOI
- 10.1002/cnm.928
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π SIMILAR VOLUMES
Several authors have proposed an error estimation strategy for the finite element method applied to linear reactiondiffusion equations in two space dimensions based on an odd/even-order dichotomy principle. For odd-order approximations the estimates are computed directly. For even-order approximatio
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