Robust Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems
Year: 2017
Author: Xiaojing Xu, Xiaoping Xie
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 2 : pp. 324–348
Abstract
This paper analyzes semi-discrete and fully discrete hybrid stress quadrilateral finite element methods for 2-dimensional linear elastodynamic problems. The methods use a 4-node hybrid stress quadrilateral element in the space discretization. In the fully discrete scheme, an implicit second-order scheme is adopted in the time discretization. We derive optimal a priori error estimates for the two schemes and an unconditional stability result for the fully discrete scheme. Numerical experiments confirm the theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2015.m1326
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 2 : pp. 324–348
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Elastodynamic problem hybrid stress finite element semi-discrete fully discrete error estimate.