Primal-dual active set methods for Allen-Cahn variational inequalities with nonlocal constraints
Primal-dual active set methods for Allen-Cahn variational inequalities with nonlocal constraints
复制标题
具有非局部约束的 Allen-Cahn 变分不等式的原始对偶有效集方法
DOI：
10.1002/num.21742
复制
发表时间：
2012
影响因子：
3.9
通讯作者：
Blank L
中科院分区：
文献类型：
--
作者：
Blank L
我们提出并分析了局部和非局部Allen-Cahn变分不等式离散化版本的原始-对偶活动集方法。非局部变分不等式的存在性结果显示在一个制定涉及拉格朗日乘子的本地和非本地的约束。局部收敛的离散方法的解释方法作为一个半光滑牛顿法。讨论了该方法的性质，数值模拟结果表明了该方法的有效性。© 2012 Wiley Periodicals，Inc. Numer Methods Partial Differential Eq，2013
We propose and analyze a primal‐dual active set method for discretized versions of the local and nonlocal Allen–Cahn variational inequalities. An existence result for the nonlocal variational inequality is shown in a formulation involving Lagrange multipliers for local and nonlocal constraints. Local convergence of the discrete method is shown by interpreting the approach as a semismooth Newton method. Properties of the method are discussed and several numerical simulations demonstrate its efficiency. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013