Numerical analysis for a new kind of obstacle problem

DOI10.1016/J.CNSNS.2021.105810zbMath1462.49077OpenAlexW3137816491MaRDI QIDQ2025546

Qinghua Ran, Qichang Xiao, Xilu Wang, Xiao-liang Cheng

Publication date: 14 May 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105810

zbMATH Keywords

error estimatesfinite element methodvariational inequalityobstacle problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Control, switches and devices (``smart materials) in solid mechanics (74M05) Variational principles of physics (49S05) Numerical methods for variational inequalities and related problems (65K15)

Related Items (2)

Optimal control of an elastic-rigid obstacle problem ⋮ Analysis of an elastic–rigid obstacle problem described by a variational–hemivariational inequality

Cites Work

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• Augmented Lagrangian active set methods for obstacle problems
• A direct algorithm in some free boundary problems
• An algorithm for solving the double obstacle problems
• Frictional contact problems with normal compliance
• Quasistatic viscoelastic contact with normal compliance and friction
• Monotone multigrid methods for elliptic variational inequalities. I
• An algorithm for solving the obstacle problems
• Monotone multigrid methods for elliptic variational inequalities. II
• Discretized obstacle problems with penalties on nested grids
• Convergence analysis of penalty based numerical methods for constrained inequality problems
• Equivalence de deux inéquations variationnelles et applications
• A Uzawa algorithm with multigrid solver for a bilateral obstacle problem
• Mathematical Models in Contact Mechanics
• Numerical PDE-Constrained Optimization
• A Penalization Method for the Elliptic Bilateral Obstacle Problem
• On friction problems with normal compliance
• Multigrid Algorithms for Variational Inequalities
• A Dynamical Method for Solving the Obstacle Problem
• Numerical analysis of hemivariational inequalities in contact mechanics
• The Mathematical Theory of Finite Element Methods

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