Overlapping domain decomposition methods for elliptic quasi-variational inequalities related to impulse control problem with mixed boundary conditions

DOI10.1007/S12044-011-0042-7zbMath1268.35066OpenAlexW2015642474MaRDI QIDQ1930310

Mohamed Haiour, Salah Mahmoud Boulaaras

Publication date: 10 January 2013

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-011-0042-7

zbMATH Keywords

domain decompositionerror analysisquasi-variational inequalitiesimpulse controlgeometrical convergence

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Unilateral problems for elliptic systems and systems of variational inequalities with elliptic operators (35J88)

Related Items (13)

The Maximum Norm Analysis of Schwarz Method for Elliptic Quasi-Variational Inequalities ⋮ A new error estimate on uniform norm of Schwarz algorithm for elliptic quasi-variational inequalities with nonlinear source terms ⋮ Asymptotic behavior and \textit{a posteriori} error estimates for the generalized overlapping domain decomposition method for parabolic equation ⋮ Overlapping domain decomposition method for a noncoercive system of quasi-variational inequalities related to the Hamilton-Jacobi-Bellman equation ⋮ A two dimensional mathematical model of heat propagation equation and its applications ⋮ Unnamed Item ⋮ Unnamed Item ⋮ \(L^{\infty}\)-error estimate of a generalized parallel Schwarz algorithm for elliptic quasi-variational inequalities related to impulse control problem ⋮ The maximum norm analysis of a nonmatching grids method for a class of parabolic $p(x)$-Laplacien equation ⋮ Unnamed Item ⋮ An asymptotic behavior and a posteriori error estimates for the generalized Schwartz method of advection-diffusion equation ⋮ A two-dimensional mathematical model of heat propagation equations and their significance for soil temperature ⋮ The finite element approximation in a system of parabolic quasi-variational inequalities related to management of energy production with mixed boundary condition

Cites Work

• Unnamed Item
• Schwarz algorithm for the solution of variational inequalities with nonlinear source terms
• Maximum norm analysis of an overlapping nonmatching grids method for the obstacle problem
• Higher order numerical solution of the integral equation for the two- dimensional Neumann problem
• On the Schwarz Alternating Method with More than two Subdomains for Nonlinear Monotone Problems
• The finite element approximation of Hamilton-Jacobi-Bellman equations

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