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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Apel, Thomas²  Nicaise, Serge¹  Sirch, Dieter² 

[1] Univ Valenciennes & Hainaut Cambresis, LAMAV, ISTV, F-59313 Valenciennes 9, France

[2] Univ Bundeswehr Munchen, Inst Math & Bauinformat, D-85577 Neubiberg, Germany

关键词: Anisotropic diffusion;    SUPG;    A posteriori error estimate;   

DOI  :  10.1016/j.cam.2010.11.032

来源: Elsevier

【 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. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free