Additive Schwarz preconditioners for C0 interior penalty methods for the obstacle problem of clamped Kirchhoff plates

被引：5
|
作者：
Brenner, Susanne C. [1 ,2 ]
Sung, Li-Yeng [1 ,2 ]
Wang, Kening [3 ]
机构：
[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
[2] Louisiana State Univ, Ctr Computat & Technol, Baton Rouge, LA 70803 USA
[3] Univ North Florida, Dept Math & Stat, Jacksonville, FL 32224 USA
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2022年 / 38卷 / 01期
基金：
美国国家科学基金会;
关键词：
additive Schwarz preconditioners; C-0 interior penalty method; fourth-order variational inequality; obstacle problem for clamped Kirchhoff plates; CONVERGENCE RATE ANALYSIS; PRIMAL-DUAL STRATEGY; DECOMPOSITION METHODS; INEQUALITIES;
D O I：
10.1002/num.22834
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The discrete variational inequalities resulting from C0 interior penalty methods for the obstacle problem of clamped Kirchhoff plates can be solved by the primal-dual active set algorithm. We develop and analyze additive Schwarz preconditioners for the auxiliary systems that appear in each iteration of the primal-dual active set algorithm. Numerical results corroborate our theoretical estimates.
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页码：102 / 117
页数：16
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