A posteriori estimators for the FEM: Analysis of the robustness of the estimators for the Poisson equation

Advances in Computational Mathematics

Volumn 15, Issue 1-4, 2001, Pages 375-392

  Zhang, L ^a   Strouboulis, T ^a   Babuska I ^b  

^a Texas AandM University   (United States)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

A posteriori error estimator; Finite element method

Indexed keywords

EID: 0035566491     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1014232321825     Document Type: Article

References (10)

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3. I. Babuška, T. Strouboulis, S.K. Gangaraj, K. Copps and D.K. Datta, Practical aspects of a posteriori estimation of the pollution error for reliable finite element analysis, Comput. Struct. 66 (1998) 626-664.
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5. I. Babuška, T. Strouboulis and C.S. Upadhyay, A model study of the quality of a-posteriori error estimators for finite element solutions of linear elliptic problems with particular reference to the behaviour near the boundary, Internat. J. Numer. Methods Engrg. 40 (1997) 2521-2577.
6. I. Babuška, T. Strouboulis and C.S. Upadhyay, Analysis of the local quality of a-posteriori error estimators near a singular vertex, manuscript.
7. I. Babuška, T. Strouboulis, C.S. Upadhyay, S.K. Gangaraj and K. Copps, Validation of a posteriori error estimators by numerical approach, Internat. J. Numer. Methods Engrg. 37 (1994) 1073-1123.
8. D.K. Datta, A posteriori estimation and adaptive control of the error in the quantities of interest, Master thesis, Texas A&M University, College Station, TX (1997).
9. C.S. Upadhyay, Validation of error estimators and superconvergence by a computer-based approach, Master thesis, Texas A&M University, College Station, TX (1993).
10. C.S. Upadhyay, Computer-based approaches for error estimators and superconvergence of finite element methods, Ph.D. thesis, Texas A&M University, College Station, TX (1997).