Semi-smooth Newton methods for the Signorini problem
Semi-smooth Newton methods for the Signorini problem
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DOI：
10.1007/s10492-008-0036-7
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发表时间：
2008-12
影响因子：
0.7
通讯作者：
Kazufumi Ito;K. Kunisch
中科院分区：
文献类型：
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作者：
Kazufumi Ito;K. Kunisch
分析了半光滑牛顿法在求解西诺里尼问题中的应用。引入一种适当的正则化方法，保证了半光滑牛顿法对每个正则化问题都是超线性收敛的。利用增广拉格朗日框架对正则化项的转换，每个正则化问题的解是可行的。证明了正则化问题的收敛性，并给出了数值实验报告。
Semi-smooth Newton methods are analyzed for the Signorini problem. A proper regularization is introduced which guarantees that the semi-smooth Newton method is superlinearly convergent for each regularized problem. Utilizing a shift motivated by an augmented Lagrangian framework, to the regularization term, the solution to each regularized problem is feasible. Convergence of the regularized problems is shown and a report on numerical experiments is given.