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Title of Journal: Numer Math

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Abbravation: Numerische Mathematik

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Springer-Verlag

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DOI

10.1007/s10067-005-1121-x

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0945-3245

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A mixed finite element method for nonlinear elasti

Authors: Mauricio A Barrientos Gabriel N Gatica Ernst P Stephan
Publish Date: 2014/02/21
Volume: 91, Issue: 2, Pages: 197-222
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Abstract

We extend the applicability of stable mixed finite elements for linear plane elasticity such as PEERS to a mixed variational formulation of hyperelasticity The present approach is based on the introduction of the strain tensor as a further unknown which yields a twofold saddle point nonlinear operator equation for the corresponding weak formulation We provide the uniqueness of solution for the continuous and discrete schemes and derive the usual Cea estimate for the associated error Finally a reliable aposteriori error estimate based on the solution of local Dirichlet problems and well suited for adaptive computations is also given

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