Error estimates for a mixed finite volume method for thep-Laplacian problem
โ Scribed by Kwang Y. Kim
- Publisher
- Springer-Verlag
- Year
- 2005
- Tongue
- English
- Weight
- 250 KB
- Volume
- 101
- Category
- Article
- ISSN
- 0029-599X
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## Abstract We treat the finite volume element method (FVE) for solving general second order elliptic problems as a perturbation of the linear finite element method (FEM), and obtain the optimal __H__^1^ error estimate, __H__^1^ superconvergence and __L__^__p__^ (1 < __p__ โค โ) error estimates betw
For the discrete solution of the dual mixed formulation for the p-Laplace equation, we define two residues R and r. Then we bound the norm of the errors on the two unknowns in terms of the norms of these two residues. Afterwards, we bound the norms of these two residues by functions of two error est