title: Modelling and convergence in arterial wall simulations using a parallel FETI solution strategy.
abstract: Arterial walls are characterised by nearly incompressible, anisotropic, hyperelastic material behaviour. Several polyconvex material functions representing such materials are considered and adjusted to experimental data. For all of these functions and for different parameter sets numerical simulations using a three-dimensional model of a diseased artery are performed. A finite element tearing and interconnecting-dual primal domain decomposition algorithm is used to solve the linearised systems of equations. The numerical performance of the different models is discussed with respect to convergence of the linear and nonlinear solvers.
authors.affiliation: Fakultät für Ingenieurwissenschaften, Institut für Mechanik, Abt. Bauwissenschaften, Universität Duisburg-Essen, Universitätsstr. 15, 45117 Essen, Germany.
authors.forename: D
authors.initials: D
authors.lastname: Brands
authors.forename: A
authors.initials: A
authors.lastname: Klawonn
authors.forename: O
authors.initials: O
authors.lastname: Rheinbach
authors.forename: J
authors.initials: J
authors.lastname: Schröder
mesh_terms: D016880:Anisotropy; D001158:Arteries / Q000502:physiology*; D001696:Biomechanical Phenomena; D003198:Computer Simulation; D020342:Finite Element Analysis; D008955:Models, Cardiovascular; D017711:Nonlinear Dynamics