Edge residuals dominate a posteriori error estimates for linear finite element methods on anisotropic triangular and tetrahedral meshes

Numerische Mathematik

Volumn 86, Issue 2, 2000, Pages 283-303

  Kunert, G ^a   Verfurth R ^b  

^a CHEMNITZ UNIVERSITY OF TECHNOLOGY   (Germany)

^b RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039372640     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005407     Document Type: Article

References (10)

1. Adams, R.A. (1975): Sobolev Spaces. Academic Press
2. Apel, Th. (1999): Interpolation of non-smooth functions on anisotropic finite element meshes. Math. Modeling Numer. Anal. 33, 1149-1185
3. Carstensen, C., Verfürth, R. (1999): Edge residuals dominate a posteriori estimates for low order finite element methods. SIAM J. Numer. Anal. 36, 1571-1587
4. 2-projection onto finite element function spaces. Math. Comput. 48, 521-532
5. Kunert, G. (1999): A posteriori error estimation for anisotropic tetrahedral and triangular finite element meshes. Dissertation, TU Chemnitz. http://archiv.tu-chemnitz.de/pub/1999/0012/index.html
6. Kunert, G.: A residual error estimator for the finite element method on anisotropic tetrahedral or triangular meshes, (in preparation)
7. Verfürth, R. (1996): A Review of a Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques. Wiley-Teubner
8. Verfürth, R. (1998): Robust a posteriori error estimators for a singularly perturbed reaction-diffusion equation. Numer. Math. 78, 479-493
9. Yu, D. (1991): Asymptotically exact a posteriori error estimators for elements of bi-odd degree. Chinese J. Num. Math. and Appl. 13, 64-78
10. Yu, D. (1991): Asymptotically exact a posteriori error estimator for elements of bi-even degree. Chinese J. Num. Math. and Appl. 13, 82-90