𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Adaptive finite element approximations on nonmatching grids for second-order elliptic problems

✍ Scribed by Hongsen Chen; Richard E. Ewing; Guan Qin

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
240 KB
Volume
26
Category
Article
ISSN
0749-159X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

A nonconforming mixed finite element for
A nonconforming mixed finite element for second-order elliptic problems
✍ Mohamed Farhloul; And Michel Fortin πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 131 KB πŸ‘ 2 views

In a recent work, Hiptmair [Mathematisches Institut, M9404, 1994] has constructed and analyzed a family of nonconforming mixed finite elements for second-order elliptic problems. However, his analysis does not work on the lowest order elements. In this article, we show that it is possible to constru

Discontinuous Galerkin finite volume ele
Discontinuous Galerkin finite volume element methods for second-order linear elliptic problems
✍ Sarvesh Kumar; Neela Nataraj; Amiya K. Pani πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 191 KB

## Abstract In this article, a one parameter family of discontinuous Galerkin finite volume element methods for approximating the solution of a class of second‐order linear elliptic problems is discussed. Optimal error estimates in __L__^2^ and broken __H__^1^‐ norms are derived. Numerical results

Error estimates for finite volume elemen
Error estimates for finite volume element methods for general second-order elliptic problems
✍ Haijun Wu; Ronghua Li πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 129 KB πŸ‘ 1 views

## 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__ ≀ ∞) error estimates betw