@Article{NMTMA-8-582, author = {Zhengqin Yu and Xiaoping Xie}, title = {Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2015}, volume = {8}, number = {4}, pages = {582--604}, 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.
}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2015.m1324}, url = {http://global-sci.org/intro/article_detail/nmtma/12424.html} }