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计算数学  2000 

FINITE ELEMENT APPROXIMATIONS OF THE THERMOMECHANICAL PHASE TRANSITIONS IN SHAPE MEMORV ALLOYS
形状记忆合金问题的有限元逼近

Keywords: Shape memory alloys,fully discrete scheme,error,estimates
形状记忆合金
,有限元逼近,非线性微分方程

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Abstract:

In this paper discrete approximations are discussed to a nonlinear evolutionary system of partial differential equations arising from modelling the structural transitions in shape memory alloy. The existence and uniqueness of the discrete solutions are proved and error estimates for the fully discrete scheme are derived.

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