𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Mixed finite volume method for nonlinear elliptic problems

✍ Scribed by Kwang Y. Kim

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
153 KB
Volume
21
Category
Article
ISSN
0749-159X

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

In this article we construct and analyze a mixed finite volume method for second‐order nonlinear elliptic problems employing H(div; Ξ©)‐conforming approximations for the vector variable and completely discontinuous approximations for the scalar variable. The main attractive feature of our method is that, although the vector variable is H(div; Ξ©)‐conforming, one can eliminate it in a local manner to obtain a discontinuous Galerkin method for the scalar variable. Optimal error estimates will be established for both vector and scalar variables. We also present a fully discrete version of this method that is more convenient for computational purposes. Β© 2005 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2005

πŸ“œ SIMILAR VOLUMES

Dual-primal mixed finite elements for el
Dual-primal mixed finite elements for elliptic problems
✍ Stefano Micheletti; Riccardo Sacco πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 164 KB πŸ‘ 2 views

In this article, a novel dual-primal mixed formulation for second-order elliptic problems is proposed and analyzed. The Poisson model problem is considered for simplicity. The method is a Petrov-Galerkin mixed formulation, which arises from the one-element formulation of the problem and uses trial f