Error estimates of finite volume element method for the pollution in groundwater flow
β Scribed by Zhiyue Zhang
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 202 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0749-159X
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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__ β€ β) error estimates betw
In part I of this investigation, we proved that the standard a posteriori estimates, based only on local computations, may severely underestimate the exact error for the classes of wave-numbers and the types of meshes employed in engineering analyses. We showed that this is due to the fact that the