Brands, Dominik; Klawonn, Axel; Rheinbach, Oliver; Schröder, Jörg:
Modelling and convergence in arterial wall simulations using a parallel FETI solution strategy
2008
In: Computer Methods in Biomechanics and Biomedical Engineering, Jg. 11 (2008), Heft 5, S. 569 - 583
Artikel/Aufsatz in Zeitschrift2008Mathematik
Titel:
Modelling and convergence in arterial wall simulations using a parallel FETI solution strategy
Autor(in):
Brands, DominikLSF; Klawonn, AxelLSF; Rheinbach, OliverLSF; Schröder, JörgLSF
Erscheinungsjahr
2008
Erschienen in:
Titel:
Computer Methods in Biomechanics and Biomedical Engineering
in:
Jg. 11 (2008), Heft 5, S. 569 - 583
ISSN:
ISSN:

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. Keywords: anisotropic; biological soft tissues; domain decomposition; FETI; parallel computing; polyconvex