Convergence of an upwind control-volume mixed finite element method for convection–diffusion problems
✍ Scribed by H. Rui
- Publisher
- Springer Vienna
- Year
- 2007
- Tongue
- English
- Weight
- 229 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0010-485X
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📜 SIMILAR VOLUMES
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Control advection diffusion problems are formulated via variational inequalities and effective upwind finite element approximations are studied. The method of local subdifferentials is applied to model and dualize control constraints, as well as to produce global primal and mixed variational formula
The paper is devoted to the study of convergence properties for an often used cell-centered full-upwind Finite Volume Method (FVM) with Voronoi boxes. This FVM is applied to a convection-diffusion problem. The approach to proving convergence of the FVM is based on the construction of a nonconforming
This article is a continuation of the work [M. Feistauer et al., Num Methods PDEs 13 (1997), 163-190] devoted to the convergence analysis of an efficient numerical method for the solution of an initial-boundary value problem for a scalar nonlinear conservation law equation with a diffusion term. Non