Finite Element Solution Algorithm for Nonlinear Elasticity Problems by Domain Decomposition Method
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2005-06-06Type of Work
8 pagesText
conference papers and proceedings
preprints
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Bedřich Sousedík: Finite element solution algorithm for nonlinear elasticity problems by domain decomposition method, Proceedings of the 13th Conference of mathematics students of VSTEZ schools, Černice, Czech Republic, June 6-8, 2005Rights
This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.Abstract
The purpose of the present work is to give a brief description of the
finite elasticity and of its approximation via finite element method. We
formulate the problem for the case of compressible elasticity. Weak
formulation allows to use any isotropic hyperelastic material model
that satisfies polyconvexity assumptions. Discretization using FEM
leads to systems of non-linear equations. Such systems of equations
can be solved by Newton’s method and its modifications. In each
iteration of Newton’s method a linearized system of equations has to
be solved. We propose to use BDDC preconditioning iterative method
for the solution of linear system of equations.