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The finite element analysis of a fractional-step method for the time-dependent linear elasticity equations

✍ Scribed by Changfeng Ma; Desheng Wang; Yu Wang

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
590 KB
Volume
10
Category
Article
ISSN
1468-1218

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✦ Synopsis

This paper provides a convergence analysis of a fractional-step method for time-dependent system of equations of linear elasticity by means of finite element approximations. Error estimates in finite time are given. And it is verified that provided the time-step Ο„ is sufficiently small, the proposed algorithm yields for finite time T an error of O(h 2 + Ο„ ) in the L 2 -norm for the displacement field u and an error estimate of O(h + Ο„ ) in the H 1 -norm, where h is the mesh size. In addition, under stronger initial conditions we obtain an error estimate of O(h + Ο„ ) in the L 2 -norm for the divergence field Ο†.

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