Numerical approximation for a nonlinear membrane problemReport as inadecuate

Numerical approximation for a nonlinear membrane problem - Download this document for free, or read online. Document in PDF available to download.

1 LJLL - Laboratoire Jacques-Louis Lions 2 College of Computer and Information Science 3 IRMA - Institut de Recherche Mathématique Avancée

Abstract : We present a numerical study of large deformations of nonlinearly elastic membranes. We consider the nonlinear membrane model obtained by H. Le Dret and A. Raoult using Γ-convergence, in the case of a Saint Venant- Kirchhoff bulk material.We consider conforming P1 and Q1finite element approximations of the membrane problem and use a nonlinear conjugate gradient algorithm to minimize the discrete energy. We present numerical tests including membranes submitted to live pressure loads.

Author: Hervé Le Dret - Nabil Kerdid - Abdelkader Saïdi -



Related documents