Analysis of a variable time-step discretization of the three-dimensional Frémond model for shape memory alloys
Analysis of a variable time-step discretization of the three-dimensional Frémond model for shape memory alloys
复制标题
形状记忆合金三维 Frémond 模型的可变时间步长离散化分析
DOI：
10.1090/s0025-5718-02-01409-6
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
U. Stefanelli
中科院分区：
文献类型：
--
作者：
U. Stefanelli
本文对形状记忆合金的三维Fremond模型进行了变步长半隐式时间离散。讨论了解的整体存在唯一性。此外，一个先验估计的离散化误差恢复。后者仅依赖于数据，不施加连续的时间步长之间的约束，并显示出一个最佳的收敛顺序时，提到一个简化的模型。
This paper deals with a semi-implicit time discretization with variable step of a three-dimensional Fremond model for shape memory alloys. Global existence and uniqueness of a solution is discussed. Moreover, an a priori estimate for the discretization error is recovered. The latter depends solely on data, imposes no constraints between consecutive time steps, and shows an optimal order of convergence when referred to a simplified model.