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Locking-free adaptive mixed finite element methods in linear elasticity

✍ Scribed by C. Carstensen; G. Dolzmann; S.A. Funken; D.S. Helm

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 860 KB
Volume: 190
Category: Article
ISSN: 0045-7825
DOI: 10.1016/s0045-7825(00)00185-7

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✦ Synopsis

Mixed ®nite element methods such as PEERS or the BDMS methods are designed to avoid locking for nearly incompressible materials in plane elasticity. In this paper, we establish a robust adaptive mesh-re®ning algorithm that is rigorously based on a reliable and ecient a posteriori error estimate. Numerical evidence is provided for the k-independence of the constants in the a posteriori error bounds and for the eciency of the adaptive mesh-re®ning algorithm proposed.

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