Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems. Issue 4 (10th November 2015)

• Record Type: Journal Article
• Authors: Yu, Zhengqin; Xie, Xiaoping
• Is Part Of: Numerical mathematics. Volume 8:Issue 4(2015)
• Page Start: 582
• Page End: 604
• Publication Date: 2015-11-10
• Subjects: 65N12, -- 65N15, -- 65N30; elastodynamic problem, -- hybrid stress finite element, -- semi-discrete, -- fully discrete; Numerical analysis -- Periodicals; Numerical analysis; Periodicals; 518.05
• DOI: 10.4208/nmtma.2015.m1324
• Languages: English
• ISSNs: 1004-8979

Abstract

Abstract: This paper proposes and analyzes semi-discrete and fully discrete hybrid stress finite element methods for elastodynamic problems. A hybrid stress quadrilateral finite element approximation is used in the space directions. A second-order center difference is adopted in the time direction for the fully discrete scheme. Error estimates of the two schemes, as well as a stability result for the fully discrete scheme, are derived. Numerical experiments are done to verify the theoretical results.