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A posteriori error estimates and adaptivity for finite element solutions in finite elasticity

✍ Scribed by Roland Mücke; J. R. Whiteman

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
1014 KB
Volume
38
Category
Article
ISSN
0029-5981

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✦ Synopsis

Methods for a posteriori error estimation for finite element solutions are well established and widely used in engineering practice for linear boundary value problems. In contrast here we are concerned with finite elasticity and error estimation and adaptivity in this context. In the paper a brief outline of continuum theory of finite elasticity is first given. Using the residuals in the equilibrium conditions the discretization error of the finite element solution is estimated both locally and globally. The proposed error estimator is physically interpreted in the energy sense. We then present and discuss the convergence behaviour of the discretization error in uniformly and adaptively refined finite element sequences.

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