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Volume 8, Issue 4
Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems

Zhengqin Yu & Xiaoping Xie

DOI: 10.4208/nmtma.2015.m1324

Numer. Math. Theor. Meth. Appl., 8 (2015), pp. 582-604.

Published online: 2015-08

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  • 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.

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@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} }
TY - JOUR T1 - Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems AU - Zhengqin Yu & Xiaoping Xie JO - Numerical Mathematics: Theory, Methods and Applications VL - 4 SP - 582 EP - 604 PY - 2015 DA - 2015/08 SN - 8 DO - http://doi.org/10.4208/nmtma.2015.m1324 UR - https://global-sci.org/intro/article_detail/nmtma/12424.html KW - AB -

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.

Zhengqin Yu and Xiaoping Xie. (2015). Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems. Numerical Mathematics: Theory, Methods and Applications. 8 (4). 582-604. doi:10.4208/nmtma.2015.m1324
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