Optimal \(L^{\infty}\)-error estimate for variational inequalities with nonlinear source terms

DOI10.1016/S0893-9659(02)00078-2zbMath1057.65038OpenAlexW2071618225MaRDI QIDQ1861841

Messaoud Boulbrachene

Publication date: 10 March 2003

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(02)00078-2

zbMATH Keywords

convergencevariational inequalitiesfinite elementnoncoercive problemsnonlinear source term\(L^{\infty}\)-error estimate\(L^{\infty}\)-stability

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Discrete approximations in optimal control (49M25)

Related Items (7)

The Maximum Norm Analysis of Schwarz Method for Elliptic Quasi-Variational Inequalities ⋮ Maximum norm analysis of a nonmatching grids method for a class of variational inequalities with nonlinear source terms ⋮ \(L^{\infty }\)-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 ⋮ Pointwise error estimates for a class of elliptic quasi-variational inequalities with nonlinear source terms ⋮ An OptimalL^∞–error Estimate for an Approximation of a Parabolic Variational Inequality ⋮ A new error estimate on uniform norm of a parabolic variational inequality with nonlinear source terms via the subsolution concepts

Cites Work

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• On finite element approximation in the \(L^{\infty}\)-norm of variational inequalities
• Sharp \(L^{\infty}\)-error estimates for semilinear elliptic problems with free boundaries
• Sur l'approximation d'une I.Q.V. Liee à des problèmes d'infiltration en milieu poreux
• Maximum principle and uniform convergence for the finite element method
• Convergence of the discrete free boundaries for finite element approximations
• A note on the approximation of free boundaries by finite element methods

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