Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0903.65083
Mishev, Ilya D.
Finite volume methods on Voronoi meshes. (English)
[J] Numer. Methods Partial Differ. Equations 14, No.2, 193-212 (1998). ISSN 0749-159X; ISSN 1098-2426/e

The article is concerned with finite volume methods for (stationary) diffusion-convection equations on convex domains, with Dirichlet boundary conditions. The author proposes two schemes on Voronoi meshes and investigates their stability, monotonicity, and convergence properties. Several numerical examples, partly diffusion and partly convection dominated, illustrate the theoretical convergence results.
[M.Plum (Karlsruhe)]

MSC 2000:: *65N30 Finite numerical methods (BVP of PDE)
65N12 Stability and convergence of numerical methods (BVP of PDE)
35J25 Second order elliptic equations, boundary value problems

Keywords: finite volume methods; diffusion-convection equations; Voronoi meshes; stability; monotonicity; convergence; numerical examples

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]