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Allen-Cahn方程弱形式的勒让德配置法及基于张量积的矩阵形式

, PP. 691-695

Keywords: Allen-Cahn方程,弱形式,勒让德配置法,稳定性分析,张量积

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Abstract:

给出了Allen-Cahn方程弱形式的勒让德配置法的全离散格式,并对稳定性进行了分析.在适当的稳定性条件下,证明了给出的格式是能量稳定的.然后利用勒让德微分矩阵和Gauss-Lobatto积分的性质,全离散的勒让德配置格式被转化为矩阵方程,再利用张量积转化为线性代数方程组.

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