## 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__ β€ β) error estimates betw
A posterior error estimate for finite volume methods of the second order elliptic problem
β Scribed by Xiu Ye
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 165 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0749-159X
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π SIMILAR VOLUMES
## 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
Communicated by H
## Abstract In this article, we study the a posteriori __H__^1^ and __L__^2^ error estimates for CrouzeixβRaviart nonconforming finite volume element discretization of general secondβorder elliptic problems in __β__^2^. The error estimators yield global upper and local lower bounds. Finally, numeri