OptimalL∞‐error estimate for the semilinear impulse control quasi‐variational inequality

DOI10.1002/mma.7605zbMath1529.35249OpenAlexW3174138821MaRDI QIDQ6182328

Messaoud Boulbrachene

Publication date: 21 December 2023

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

Full work available at URL: https://doi.org/10.1002/mma.7605

zbMATH Keywords

finite elementsquasi-variational inequalities

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

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
• \(L^{\infty}\) error estimate for the noncoercive impulse control QVI: a new approach
• Pointwise error estimates for a class of elliptic quasi-variational inequalities with nonlinear source terms
• Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems
• On The Finite Element Approximation of Variational Inequalities with Noncoercive Operators
• On the finite element approximation of elliptic QVIs with noncoercive operators

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