A posteriori error estimators for convection-diffusion equations. (English) Zbl 0913.65095

Verfürth, R.

Numer. Math. 80, No. 4, 641-663 (1998).

This paper deals with convection-diffusion equations with dominant convection. The author derives a posteriori error estimators for finite element discretizations. The main tools in achieving the results are an appropriate trace theorem in deriving upper bounds, judicious modification, and, finally, a sharp estimate for the convection term in establishing lower bounds.

Reviewer: V.V.Strygin (Voronezh)

MSC:

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

Keywords:

convection-diffusion equations; error estimators; finite element