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Robust Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems

  • Xiaojing Xu (a1) and Xiaoping Xie (a2)
Abstract
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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Corresponding author
*Corresponding author. Email:xuxiaojing0603@126.com (X. J. Xu), xpxie@scu.edu.cn (X. P. Xie)
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[16] V.Thomee , Galerkin Finite element Methods for Parabolic Problems, Springer, New York, 1997.

[18] F.Brezzi and M.Fortin , Mixed and Finite Element Method, Springer-Verlag, New York, 1991.

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Advances in Applied Mathematics and Mechanics
  • ISSN: 2070-0733
  • EISSN: 2075-1354
  • URL: /core/journals/advances-in-applied-mathematics-and-mechanics
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