99-12   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Carsten Carstensen, Georg Dolzmann:

An a priori error estimate for finite element discretizations in nonlinear elasticity for polyconvex materials under small loads

We prove optimal a priori error estimates in W1,p for finite element minimizers of polyconvex energy functionals with small applied loads. The proof relies on a quantitative version of Zhang's stability estimate (K. Zhang, Arch. Rat. Mech. Anal. 114 (1991), 95-117).

Mathematics Subject Classification (1991): 99DK00

Keywords: Finite elements, a priori error estimates, polyconvex minimization problems, stability, microstructures

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[Thu Feb 19 18:56:34 2009]