|Authors||M. E. Rognes and R. Winther|
|Title||Mixed Finite Element Methods for Viscoelasticity With Weak Symmetry|
|Afilliation||, , Scientific Computing|
|Project(s)||Center for Biomedical Computing (SFF)|
|Publication Type||Journal Article|
|Year of Publication||2010|
|Journal||Mathematical Models and Methods in Applied Sciences (M3AS)|
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.