An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh. (English) Zbl 0822.65085

Herbin, Raphaèle

Numer. Methods Partial Differ. Equations 11, No. 2, 165-173 (1995).

A finite volume scheme for a diffusion-convection equation is considered using a triangular mesh satisfying certain non-degenerating conditions instead of the usual rectangular mesh. The aim is that the obtained scheme will be robust and useful for any shape of the physical domain. An error estimate is obtained directly without any reference to the finite element techniques. For a numerical experiment a diffusion operator is considered.

Reviewer: V.Subba Rao (Madras)

MSC:

65N30	Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N15	Error bounds for boundary value problems involving PDEs
65N50	Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
35J25	Boundary value problems for second-order elliptic equations

Keywords:

numerical example; finite volume scheme; diffusion-convection equation; triangular mesh; error estimate

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