Investigation of the interactions between the numerical and the modeling errors in the Homogenized Dirichlet Projection Method

Computer Methods in Applied Mechanics and Engineering

Volumn 159, Issue 1-2, 1998, Pages 79-101

  Moës, Nicolas ^a   Oden, J Tinsley ^a   Zohdi, Tarek I ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; ERROR ANALYSIS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; PROBLEM SOLVING;

HOMOGENIZED DIRICHLET PROJECTION METHOD (HDPM);

NUMERICAL ANALYSIS;

EID: 0032121053     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)80104-7     Document Type: Article

References (5)

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2. J.T. Oden and Tarek I. Zohdi, Analysis of elastic structures composed of highly heterogeneous materials, TICAM report 96-56, Texas Institute for Computational and Applied Mathematics, Austin, 1996. Also to appear in Comput. Methods Appl. Mech. Engrg.
3. P. Ladevèze and D. Leguillon, Error estimate procedure in the finite element method and application, SIAM J. Numer. Anal. 20(3) (1983) 485-509.
4. P. Ladevèze and M. Reynier, A localisation method of stiffness errors for the adjustment of F.E. models, In Special issue, 12th ASME Mechanical Vibration and Noise Conference, Montreal, 1989.
5. W. Prager and J.L. Synge, Approximation in elasticity based on the concept of functions space, Quart. Appl. Math. 5 (1947) 261-269.