A Hybrid Iterative Method for Elliptic Variational Inequalities of the Second Kind

Yujian Cao , Jianguo Huang , Haoqin Wang

Communications on Applied Mathematics and Computation ›› 2024, Vol. 7 ›› Issue (3) : 910 -928.

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Communications on Applied Mathematics and Computation ›› 2024, Vol. 7 ›› Issue (3) : 910 -928. DOI: 10.1007/s42967-024-00423-9
Original Paper

A Hybrid Iterative Method for Elliptic Variational Inequalities of the Second Kind

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Abstract

A hybrid iterative method is proposed for numerically solving the elliptic variational inequality (EVI) of the second kind, through combining the regularized semi-smooth Newton method and the Int-Deep method. The convergence rate analysis and numerical examples on contact problems show this algorithm converges rapidly and is efficient for solving EVIs.

Keywords

Deep learning / Semi-smooth Newton method / Elliptic variational inequality (EVI) / Convergence rate analysis

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Yujian Cao, Jianguo Huang, Haoqin Wang. A Hybrid Iterative Method for Elliptic Variational Inequalities of the Second Kind. Communications on Applied Mathematics and Computation, 2024, 7(3): 910-928 DOI:10.1007/s42967-024-00423-9

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Funding

National Natural Science Foundation of China(12071289)

RIGHTS & PERMISSIONS

Shanghai University

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