Two cell-centered finite difference schemes on Voronoi meshes are derived and investigated. Stability and error estimates in a discrete H 1 -norm for both symmetric and nonsymmetric problems, including convection dominated, are proven. The theoretical results are illustrated with several numerical e
On a Class of Padé Finite Volume Methods
✍ Scribed by Marcelo H. Kobayashi
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 287 KB
- Volume
- 156
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
A class of Padé finite volume methods providing an improved spectral resolution is presented and compared with well-known methods. The formulation is based on the sliding averages of the variables and allows the computation of derivatives of all orders. Using the Fourier analysis, these methods are examined with respect to (i) order of accuracy, (ii) spectral resolution, (iii) boundary conditions, and (iv) stability.
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## On a Class of Iteration Methods By REINRARD KLUGE of Berlin (Eingegangen am 21. 1.1975
The article is devoted to the study of convergence properties of a Finite Volume Method (FVM) using Voronoi boxes for discretization. The approach is based on the construction of a new nonconforming Finite Element Method (FEM), such that the system of linear equations coincides completely with that