An a posteriori error estimator for anisotropic refinement

Numerische Mathematik

Volumn 73, Issue 3, 1996, Pages 373-398

  Siebert, Kunibert G ^a  

^a UNIVERSITY OF FREIBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030530686     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050197     Document Type: Article

References (17)

1. Ainsworth, M., Oden, J. T. (1993): A unified approach to a posteriori estimation using element residual methods. In: Numer. Math. 65, 23-50
2. Apel, T., Dobrowolski, M. (1992): Anisotropic interpolation with applications to the finite element method. In: Computing 48, 3/4, 277-293
3. Babuška, I., Rheinboldt, W. C. (1978): Error estimates for adaptive finite element computations. In: SIAM J. Numer. Anal. 15, 736-754
4. Bank, R. E., Weisser, A. (1985): Some a posteriori error estimators for elliptical partial differential equations. In: Math. Comput. 44, 283-301
5. Bänsch, E. (1991): Local mesh refinement in 2 and 3 dimensions. In: IMPACT Comput. Sci. Engrg. 3, 181-191
6. Bänsch, E.: Anisotropic interpolation estimates. Computing (submitted)
7. Clément, P. (1975): Approximation by finite element functions using local regularization. In: R. A. I. R. O. 9, R-2, 77-84
8. Eriksson, K., Johnson, C. (1991): Adaptive finite element methods for parabolic problems I: A linear model problem. In: SIAM J. Numer. Anal. 28, 1, 43-77
9. van der Graaf, H. et al. (1991): The honeycomb strip chamber: the application in LHC/ SSC experiments and the test result of a prototype. In: Nucl. Instr. Methods, A307
10. Mitchell, W. F. (1989): A comparison of adaptive refinement techniques for elliptic problems. In: ACM Trans. Math. Softw. 15, 4, 326-347
11. Rachowicz, W. (1993): An anisotropic h-type mesh-refinement strategy. In: Comput. Methods Appl. Mech. Engrg. 53, 169-181
12. Rheinboldt, W. C., Mesztenyi, C. K. (1980): On a data structure for adaptive finite element mesh refinements. In: ACM Trans. Math. Softw. 6, 2, 166-187
13. Rivara, M. C. (1984): Algorithms for refining triangular grids suitable for adaptive and multigrid techniques. In: Int. J. Numer. Methods Eng. 20, 745-756
14. Rivara, M. C. (1984): Mesh refinement processes based on the generalized bisection of simplices. In: SIAM J. Numer. Anal. 21, 604-613
15. Rumpf, M., Schmidt, A., et al. (1990): GRAPE, GRAphics Programming Environment. Report 8, SFB 256, Bonn
16. Siebert, K. G. (1993): Local refinement of 3-d meshes consisting of prisms and conforming closure. In: IMPACT Comput. Sci. Engrg. 5, 271-284
17. Verfürth, R. (1994): A posteriori error estimation and adaptive mesh-refinement techniques. In: J. Comp. Appl. Math. 50, 67-83