Least-squares mixed finite element methods for non-selfadjoint elliptic problems: I. Error estimates
β Scribed by A.I. Pehlivanov; G.F. Carey; P.S. Vassilevski
- Publisher
- Springer-Verlag
- Year
- 1996
- Tongue
- English
- Weight
- 211 KB
- Volume
- 72
- 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__ β€ β) error estimates betw
Following the theme of our previous work on least-squares finite elements [ 10,281, we describe an adaptive remeshing scheme using local residuals as the error indicator. This choice of indicator is natural (and exact at the element level!) in the norm associated with the corresponding least-squares