𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A discontinuous finite volume element method for second-order elliptic problems

✍ Scribed by Chunjia Bi; Mingming Liu

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
137 KB
Volume
28
Category
Article
ISSN
0749-159X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

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

A stabilized discontinuous finite elemen
A stabilized discontinuous finite element method for elliptic problems
✍ Richard E. Ewing; Junping Wang; Yongjun Yang πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 167 KB

## Abstract A new finite element method is proposed and analysed for second order elliptic equations using discontinuous piecewise polynomials on a finite element partition consisting of general polygons. The new method is based on a stabilization of the well‐known primal hybrid formulation by usin

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

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