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 loadsWe 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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