Workshop on Biomechanics and Chemotaxis, Fri, 14 Dec, 2007
Speaker: Axel Klawonn
Abstract
The mechanical behavior of arterial walls in the physiological range
can be described by anisotropic, hyperelastic elasticity models. Different models are considered. Each of them is represented by a polyconvex strain energy function in order to guarantee the existence of minimizers. Discretization of these three dimensional models by the finite element method usually results in a large number of equations. Dual-primal FETI methods are among the most severely tested domain decomposition methods for the solution of partial differential equations on parallel computers. A computational framework using a Newton-Krylov-FETI approach for the solution of the discretized models will be discussed.
This presentation is based on joint work with Oliver Rheinbach, Department of Mathematics, University of Duisburg-Essen and Dominik Brands, Jörg Schröder, Institute of Mechanics, University of Duisburg-Essen.
URL: www.ricam.oeaw.ac.at/specsem/ssqbm/participants/abstracts/index.php
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