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Convergence of the Generalized Volume Averaging Method on a Convection-Diffusion Problem: A Spectral Perspective
✍ Scribed by Pierre, C.; Plouraboue, F.; Quintard, M.
- Book ID
- 118193142
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2005
- Tongue
- English
- Weight
- 323 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0036-1399
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📜 SIMILAR VOLUMES
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
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
A new high order FV method is presented for the solution of convection±diusion equations, based on a 4-point approximation of the diusive term and on the de®nition of a quadratic pro®le for the approximation of the convective term, in which coecients are obtained by imposing conditions on the trunca