## Abstract In this article we construct and analyze a mixed finite volume method for secondβorder nonlinear elliptic problems employing __H__(div; Ξ©)βconforming approximations for the vector variable and completely discontinuous approximations for the scalar variable. The main attractive feature o
Two-grid finite volume element method for linear and nonlinear elliptic problems
β Scribed by Chunjia Bi; Victor Ginting
- Publisher
- Springer-Verlag
- Year
- 2007
- Tongue
- English
- Weight
- 403 KB
- Volume
- 108
- Category
- Article
- ISSN
- 0029-599X
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π SIMILAR VOLUMES
a b s t r a c t Two-grid methods are studied for solving a two dimensional nonlinear parabolic equation using finite volume element method. The methods are based on one coarse-grid space and one fine-grid space. The nonsymmetric and nonlinear iterations are only executed on the coarse grid and the f
## Abstract In this article, a one parameter family of discontinuous Galerkin finite volume element methods for approximating the solution of a class of secondβorder linear elliptic problems is discussed. Optimal error estimates in __L__^2^ and broken __H__^1^β norms are derived. Numerical results