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
Finite element versus finite volume schemes for Poisson-type problems: the point of view of conditioning
✍ Scribed by Bitar, L. ;Vincent, C.
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 143 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1069-8299
- DOI
- 10.1002/cnm.417
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✦ Synopsis
Abstract
This paper compares finite element and finite volume schemes for some Poisson‐type problems. Special attention is devoted to the conditioning properties of the linear systems to be solved. For the benchmark which is considered, we show that the finite element scheme leads to the lowest condition numbers. Copyright © 2001 John Wiley & Sons, Ltd.
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An iterative procedure is described for the finite-element solution of scalar scattering problems in unbounded domains. The scattering objects may have multiple connectivity, may be of different materials or with different boundary conditions. A fictitious boundary enclosing all the objects involved