Computer Science NASC Seminar

Towards a Parallel Solver Environment for the Numerical Simulation of Arterial Wall Models

Axel Klawonn, University of Duisburg-Essen

October 15, 2010 10:00AM
Warren Weaver Hall, Room 1302
251 Mercer Street
New York, NY, 10012-1110
(Directions)

Fall 2010 NASC Seminars Calendar

Synopsis

The treatment of arteriosclerosis by a ballon angioplasty involves large deformations
of the arterial walls. The numerical simulation of these large
deformations is a challenging task which involves many computational state
of the art techniques. In this talk, a computational framework for the numerical
simulation of large elastic deformations is discussed.
The mechanical behavior of arterial walls in the physiological range can
be described by anisotropic, hyperelastic elasticity models. Different models
can be considered. Each of them is represented by a polyconvex strain energy
function in order to guarantee the existence of minimizers. Discretization
of the three dimensional models by the finite element method usually results
in a large number of equations which are solved using FETI domain
decomposition methods suitable for parallel computing. A computational
framework using a Newton-Krylov-FETI approach for the solution of the
discretized models will be discussed and applied to different material wall
models and geometries. The arterial geometries are obtained by intravascular
ultrasound (IVUS) and virtual histology. Material parameters obtained
by tension tests are considered.
This presentation is based on joint work with Oliver Rheinbach, Faculty
of Mathematics, University of Duisburg-Essen and Dominik Brands, Sarah
Brinkhues, and J¨org Schr¨oder, Institute of Mechanics, Division of Civil Engineering,
Faculty of Engineering, University of Duisburg-Essen.


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