Analysis of mixed finite element methods for the standard linear solid model in viscoelasticity

We propose mixed finite element methods for the standard linear solid model in viscoelasticity and prove a priori error estimates. In our mixed formulation the governing equations of the problem become a symmetric hyperbolic system, so we can use standard techniques for a priori error estimates and...

Full description

Saved in:
Bibliographic Details
Published in:Calcolo 2017-06, Vol.54 (2), p.587-607
Main Author: Lee, Jeonghun J.
Format: Article
Language:English
Subjects:
Finite element method
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Numerical Analysis
Theory of Computation
Viscoelasticity
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We propose mixed finite element methods for the standard linear solid model in viscoelasticity and prove a priori error estimates. In our mixed formulation the governing equations of the problem become a symmetric hyperbolic system, so we can use standard techniques for a priori error estimates and time discretization. Numerical results illustrating our theoretical analysis are included.
ISSN:0008-0624
1126-5434
DOI:10.1007/s10092-016-0200-5