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

作者:Apel Thomas; Nicaise Serge*; Sirch Dieter
来源:Journal of Computational and Applied Mathematics, 2011, 235(8): 2805-2820.
DOI:10.1016/j.cam.2010.11.032

摘要

This paper presents a robust a posteriori residual error estimator for diffusion-convection-reaction problems with anisotropic diffusion, approximated by a SUPG finite element method on isotropic or anisotropic meshes in R(d), 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.

  • 出版日期2011-2-15