An Unconditionally Stable One-Step Scheme for Gradient Systems
An Unconditionally Stable One-Step Scheme for Gradient Systems
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DOI：
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发表时间：
1997
影响因子：
10.6
通讯作者：
D. J. Eyre
中科院分区：
文献类型：
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作者：
D. J. Eyre
给出并分析了梯度波的半隐式时间离散方法。结果表明，该格式是无条件梯度稳定的，离散方程是唯一可解的所有时间步。该方法的主要特点是在时间步长上分离了方程的收缩项和扩张项。以Cahn-Hilliard方程为例。
A semi-implicit time discretization of gradient ows is given and analyzed. It is shown that the scheme is unconditionally gradient stable and that the discrete equations are uniquely solvable for all time steps. The key feature of the method is a separation of the contractive and expansive terms of the equation across the time step. The Cahn-Hilliard equation is used as an example.