Discretization with variable time steps of an evolution equation with a positive-type memory term
Discretization with variable time steps of an evolution equation with a positive-type memory term
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DOI：
10.1016/0377-0427(95)00025-9
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发表时间：
1996-04
影响因子：
2.4
通讯作者：
W. McLean;V. Thomée;L. Wahlbin
中科院分区：
文献类型：
--
作者：
W. McLean;V. Thomée;L. Wahlbin
我们考虑了一个线性化的演化方程，用于模拟具有记忆的材料的粘弹性和热传导。采用几种基于后向欧拉和克兰克-尼科尔森方法的方案对方程进行时间离散，并对记忆项进行适当的正交。通过允许可变时间步长，我们消除了前两位作者在早期相关工作中存在的限制。
We consider the linearized form of an evolution equation used to model viscoelasticity and heat conduction in materials with memory. The equation is discretized in time using several schemes based on the backward Euler and Crank-Nicolson methods, and incorporating appropriate quadratures for the memory term. By permitting variable time steps, we remove a restriction present in earlier related work by the first two authors.