ISSN:
0945-3245
Keywords:
Mathematics Subject Classification (1991): 65N30, 65N15, 73C35
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract. A residue based reliable and efficient error estimator is established for finite element solutions of mixed boundary value problems in linear, planar elasticity. The proof of the reliability of the estimator is based on Helmholtz type decompositions of the error in the stress variable and a duality argument for the error in the displacements. The efficiency follows from inverse estimates. The constants in both estimates are independent of the Lamé constant $\lambda$ , and so locking phenomena for $\lambda\to\infty$ are properly indicated. The analysis justifies a new adaptive algorithm for automatic mesh–refinement.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002110050389
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