On The Finite Element Approximation of Variational Inequalities with Noncoercive Operators

DOI10.1080/01630563.2015.1056913zbMath1327.65234OpenAlexW1690355851MaRDI QIDQ3453796

Messaoud Boulbrachene

Publication date: 30 November 2015

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2015.1056913

zbMATH Keywords

variational inequalitiesfinite elementssubsolution\(L^{\infty}\)-error estimateBensoussan-Lions algorithm

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (5)

Numerical approximation of equations involving minimal/maximal operators by successive solution of obstacle problems ⋮ \(L^{\infty }\)-error estimate of a parabolic quasi-variational inequalities systems related to management of energy production problems via the subsolution concept ⋮ 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 ⋮ On finite element approximation of system of parabolic quasi-variational inequalities related to stochastic control problems

Cites Work

• The discrete maximum principle for Galerkin solutions of elliptic problems
• On finite element approximation in the \(L^{\infty}\)-norm of variational inequalities
• The finite element approximation of variational inequalities related to ergodic control problems
• The noncoercive quasi-variational inequalities related to impulse control problems
• \(L^{\infty}\)-error estimate for a system of elliptic quasi-variational inequalities with noncoercive operators
• Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems
• OptimalL^∞-Error Estimate of a Finite Element Method for Hamilton–Jacobi–Bellman Equations
• The finite element approximation of Hamilton-Jacobi-Bellman equations

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