Finite volume method for the variational inequalities of first and second kinds

DOI10.1002/mma.3331zbMath1337.65058OpenAlexW2113583699MaRDI QIDQ2795404

Lixin Tang, Tie Zhang

Publication date: 21 March 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3331

zbMATH Keywords

stabilitynumerical examplevariational inequalitiesfinite volume methodobstacle problemoptimal error estimatefriction problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Discrete approximations in optimal control (49M25) Numerical methods for variational inequalities and related problems (65K15)

Related Items (3)

Direct pseudo-spectral method for optimal control of obstacle problem - an optimal control problem governed by elliptic variational inequality ⋮ Spectral element methods a priori and a posteriori error estimates for penalized unilateral obstacle problem ⋮ Virtual element methods for elliptic variational inequalities of the second kind

Cites Work

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• On the finite volume element method
• Analysis of linear and quadratic simplicial finite volume methods for elliptic equations
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• Box schemes on quadrilateral meshes
• A note on the optimal \(L^2\)-estimate of the finite volume element method
• A posteriori error estimation and adaptive solution of elliptic variational inequalities of the second kind
• Convergence analysis of a conforming adaptive finite element method for an obstacle problem
• Generalized Difference Methods for a Nonlinear Dirichlet Problem
• A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
• Superconvergence of finite volume element method for a nonlinear elliptic problem
• Lp error estimates and superconvergence for covolume or finite volume element methods
• On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
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