Expanded mixed finite element methods for the problem of purely longitudinal motion of a homogeneous bar

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摘要

In this paper, expanded mixed finite element methods for the initial-boundary-value problem of purely longitudinal motion equation of a homogeneous bar are proposed and analyzed. Optimal error estimates for the approximations of displacement in L2 norm and stress in H1 norm are obtained.

论文关键词:65M12,65M15,Expanded mixed finite element methods,Purely longitudinal motion equation of a homogeneous bar,Initial-boundary value problems,Error estimates

论文评审过程:Received 15 May 2008, Revised 23 February 2009, Available online 21 October 2010.

论文官网地址:https://doi.org/10.1016/j.cam.2010.10.012