A two-grid method with expanded mixed element for nonlinear reaction-diffusion equations
β Scribed by Wei Liu; Hong-xing Rui; Hui Guo
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2011
- Tongue
- English
- Weight
- 221 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0168-9673
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We present a scheme for solving two-dimensional, nonlinear reaction-diffusion equations, using a mixed finite-element method. To linearize the mixed-method equations, we use a two grid scheme that relegates all the Newton-like iterations to a grid H much coarser than the original one h , with no lo
We develop 2-grid schemes for solving nonlinear reaction-diffusion systems: where p = (p, q) is an unknown vector-valued function. The schemes use discretizations based on a mixed finite-element method. The 2-grid approach yields iterative procedures for solving the nonlinear discrete equations. Th