Calculating the energy-norm FEM-error for Reissner-Mindlin plates without known reference solution

Computational Mechanics

Volumn 26, Issue 6, 2000, Pages 566-570

  Carstensen, C ^a   Weinberg, K ^b  

^a UNIVERSITY OF KIEL   (Germany)

^b UNIVERSITY OF LÜBECK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE ALGORITHMS; APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL MODELS;

ADAPTIVE AUTOMATIC MESH REFINING ALGORITHMS; REISSNER-MINDLIN PLATE MODELS;

FINITE ELEMENT METHOD;

EID: 0034475627     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660000205     Document Type: Article

References (10)

1. Arnold DN, Brezzi FF (1989) Some new elements for the Reissner-Mindlin plate model. In Lions JL, Baiocchi C (eds.) Boundary Value Problems for Partial Differential Equations and Applications. Masson, pp 287-292
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3. Braess D (1997) Finite Elemente. Springer-Verlag
4. Brezzi F, Fortin M (1991) Mixed and hybrid finite element methods. Springer-Verlag
5. Carstensen C, Weinberg K (1999) Adaptive mixed finite element method for Reissner-Mindlin plates. Mathematisches Seminar, Christian-Albrechts-Universität zu Kiel, Technical Report, 00-7
6. Chapelle D, Stenberg R (1998) An optimal low-order locking-free finite element method for Reissner-Mindlin plates. Math. Models and Methods in Appl. Science 8: 407-430
7. Ciarlet PG (1978) The finite element method for elliptic problems. North-Holland, Amsterdam
8. Lovadina C (1996) A new class of finite elements for Reissner-Mindlin plates. SIAM J. Numer. Anal. 33: 2457-2467
9. Stoer J (1989) Numerische Mathematik. Springer-Verlag
10. Weinberg K (1999) An adaptive finite element approach for a mixed Reissner-Mindlin plate formulation. Comput. Methods Appl. Mech. Engrg., in press