Robust a posteriori error estimates for nonstationary convection-diffusion equations. (English) Zbl 1099.65077

Verfürth, R.

SIAM J. Numer. Anal. 43, No. 4, 1783-1802 (2005).

The author developes robust a posteriori error estimates for a nonstationary convection-diffusion equation using the finite element method. The estimates yield local and global bounds. Theorems on stability and convergence are established with lemmas. No numerical experiments are performed for illustration.

Reviewer: Prabhat Kumar Mahanti (Saint John)

MSC:

65M15	Error bounds for initial value and initial-boundary value problems involving PDEs
65M60	Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
35K15	Initial value problems for second-order parabolic equations
65M12	Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

Keywords:

finite element method; stability; convergence