AuthorsM. S. Alnæs, K. Mardal and J. Sundnes
EditorsB. H. Skallerud and H. Andersson
TitleApplication of Symbolic Finite Element Tools to Nonlinear Hyperelasticity
AfilliationScientific Computing, , Scientific Computing, Scientific Computing
Project(s)Center for Biomedical Computing (SFF)
Publication TypeProceedings, refereed
Year of Publication2007
Conference NameFourth national conference on Computational Mechanics (MekIT'07)
Date PublishedMay
PublisherTapir Academic Press
Place PublishedNO-7005 Trondheim
ISBN Number978-82-519-2235-7

The present paper addresses the use of high level languages, symbolic mathematical tools and code generation in an implementation of the finite element method, using a nonlinear hyperelasticity equation as example. Advantages of the software development method that will be demonstrated include closeness to the mathematics, enabling high human efficiency with easy to use high level languages, while still keeping a high computational efficiency by generating tailored inner loop code for the problem at hand. The application we have in mind for the equations presented here is the simulation of the passive elastic properties of heart and blood vessel tissue.

Citation KeySimula.SC.22