AuthorsM. E. Rognes and R. Winther
TitleMixed Finite Element Methods for Viscoelasticity With Weak Symmetry
Afilliation, , Scientific Computing
Project(s)Center for Biomedical Computing (SFF)
StatusPublished
Publication TypeJournal Article
Year of Publication2010
JournalMathematical Models and Methods in Applied Sciences (M3AS)
Volume20
Number6
Pagination955-985
Abstract

Small deformations of a viscoelastic body are considered through the linear Maxwell and Kelvin-Voigt models in the quasi-static equilibrium. A robust mixed finite element method, enforcing the symmetry of the stress tensor weakly, is proposed for these equations on simplicial tessellations in two and three dimensions. A priori error estimates are derived and numerical experiments presented. The approach can be applied to general models for linear viscoelasticity and thus offers a unifed framework.

DOI10.1142/S0218202510004490
Citation KeySimula.SC.566