Mixed methods for elastodynamics with weak symmetry
Numerical Analysis
2018-11-13 v1
Abstract
We analyze the application to elastodynamic problems of mixed finite element methods for elasticity with weak symmetry. Our approach leads to a semidiscrete method which consists of a system of ordinary differential equations without algebraic constraints. Our error analysis, which is based on a new elliptic projection operator, applies to several mixed finite element spaces developed for elastostatics. The error estimates we obtain are robust for nearly incompressible materials.
Cite
@article{arxiv.1312.6319,
title = {Mixed methods for elastodynamics with weak symmetry},
author = {Douglas N. Arnold and Jeonghun J. Lee},
journal= {arXiv preprint arXiv:1312.6319},
year = {2018}
}
Comments
20 pages