On a posteriori error estimators in the finite element method on anisotropic meshes

Electronic Transactions on Numerical Analysis

Volumn 8, Issue , 1999, Pages 36-45

  Dobrowolski, Manfred ^a   Gräf, Steffen ^a   Pflaum, Christoph ^a  

^a UNIVERSITY OF WÜRZBURG   (Germany)

Author keywords

A posteriori estimators; Anisotropic meshes; Finite elements

Indexed keywords

EID: 0003140025     PISSN: 10689613     EISSN: 10689613     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. TH. APEL AND M. DOBROWOLSKI, Anisotropic interpolation with applications to the finite element method, Computing, 47, (1992), pp. 277-293.
2. I. BABUSKA AND W. C. RHEINBOLDT, Error estimates for adaptive finite element computation, SIAM, J. Numer. Anal., 15, (1978), pp. 736-754.
3. I. BABUSKA, O. C. ZIENKIEWICZ, J. GAGO AND E. OLIVIERA, Accuracy Estimates and Adaptive Refinements in Finite Element Computations, John Wiley, Chichester, 1986.
4. R. E. BANK AND A. E. WEISER, Some a posteriori error estimators for elliptic partial differential equations, Math. Comp., 44, (1985), pp. 283-301.
5. P. G. CLARLET, The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam, 1978.
6. D. GILBARG AND N. S. TRUDINGER, Elliptic Partial Differential Equations of Second Order, Grundlehren der math. Wiss., 224, Springer-Verlag, Berlin, 1977.
7. L. R. SCOTT AND S. ZHANG, Finite element interpolation of nonsmooth functions satisfying boundary conditions, Math. Comp., 54, (1990), pp. 483-493.
8. K. G. SIEBERT, An a posteriori error estimator for anisotropic refinement, Numer. Math., 73, (1996), pp. 373-398.
9. R. VERFÜRTH, A posteriori error estimators for the Stokes equation, Numer. Math., 55, (1989), pp. 309-325.
10. R. VERFÜRTH, A Review of A Posteriori Estimation and Adaptive Mesh-Refinement Techniques, Advances in Numerical Mathematics, Wiley/Teubner, New York - Stuttgart, 1996.