Pointwise error estimates for a class of elliptic quasi-variational inequalities with nonlinear source terms

DOI10.1016/j.amc.2003.12.015zbMath1065.65082OpenAlexW2028446903MaRDI QIDQ1763227

Messaoud Boulbrachene

Publication date: 22 February 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.015

zbMATH Keywords

monotonicityerror estimatesfinite elementsfixed pointquasi-variational inequalityimpulse control problemdiscrete stabilityobstacle type problemsemicoerciveness

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Newton-type methods (49M15)

Related Items (6)

A new error estimate on uniform norm of Schwarz algorithm for elliptic quasi-variational inequalities with nonlinear source terms ⋮ Maximum norm analysis of a nonmatching grids method for a class of variational inequalities with nonlinear source terms ⋮ L ∞−ASYMPTOTIC BEHAVIOR OF A FINITE ELEMENT METHOD FOR A SYSTEM OF PARABOLIC QUASI-VARIATIONAL INEQUALITIES WITH NONLINEAR SOURCE TERMS ⋮ OptimalL^∞‐error estimate for the semilinear impulse control quasi‐variational inequality ⋮ \(L^{\infty }\)-asymptotic behavior for a finite element approximation in parabolic quasi-variational inequalities related to impulse control problem ⋮ A new approach to asymptotic behavior for a finite element approximation in parabolic variational inequalities

Cites Work

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• On finite element approximation in the \(L^{\infty}\)-norm of variational inequalities
• The noncoercive quasi-variational inequalities related to impulse control problems
• Optimal \(L^{\infty}\)-error estimate for variational inequalities with nonlinear source terms
• Maximum principle and uniform convergence for the finite element method
• \(L^\infty\)-error estimates for a class of semilinear elliptic variational inequalities and quasi-variational inequalities

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