An iterative algorithm for elliptic variational inequalities of the second kind

DOI10.1080/00207160.2013.790533zbMath1298.65106OpenAlexW1988506851MaRDI QIDQ2875293

Xuan Zheng, Xiao-liang Cheng

Publication date: 14 August 2014

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2013.790533

zbMATH Keywords

algorithmconvergenceiterative algorithmnumerical resultsfinite element methodregularizationnonlinear systemlinearizationfrictioncontact problempolygonal domainelliptic variational inequality of the second kindnondifferentiable functionmesh-independent propertyover-relaxation method

Mathematics Subject Classification ID

Variational inequalities (49J40) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Discrete approximations in optimal control (49M25) Numerical methods for variational inequalities and related problems (65K15)

Cites Work

• Unnamed Item
• A duality based semismooth Newton framework for solving variational inequalities of the second kind
• Plasticity. Mathematical theory and numerical analysis
• The regularization method for an obstacle problem
• Monotone multigrid methods for elliptic variational inequalities. I
• Inexact Uzawa algorithms for variational inequalities of the second kind.
• Convergence rate to elliptic variational inequalities of the second kind by relaxation method.
• Monotone multigrid methods for elliptic variational inequalities. II
• Discontinuous Galerkin Methods for Solving Elliptic Variational Inequalities
• Iteratively reweighted least squares minimization for sparse recovery
• Multigrid Algorithms for Variational Inequalities
• Adaptive Multilevel Methods for Obstacle Problems
• Semismooth Newton and Augmented Lagrangian Methods for a Simplified Friction Problem
• Efficient Algorithms for Problems with Friction
• Efficient contact solvers based on domain decomposition techniques.

This page was built for publication: An iterative algorithm for elliptic variational inequalities of the second kind