A posteriori error estimation of residual type for anisotropic diffusion-convection-reaction problems

摘要

This paper presents a robust a posteriori residual error estimator for diffusionconvectionreaction problems with anisotropic diffusion, approximated by a SUPG finite element method on isotropic or anisotropic meshes in Rd, d=2 or 3. The equivalence between the energy norm of the error and the residual error estimator is proved. Numerical tests confirm the theoretical results.