An Optimal L∞–error Estimate for an Approximation of a Parabolic Variational Inequality. (2nd January 2016)

• Record Type: Journal Article
• Authors: Bencheikh Le Hocine, Mohamed Amine; Boulaaras, Salah; Haiour, Mohamed
• Is Part Of: Numerical functional analysis and optimization. Volume 37:Number 1(2016)
• Page Start: 1
• Page End: 18
• Publication Date: 2016-01-02
• Subjects: Asymptotic behavior -- parabolic variational inequalities -- subsolution method; 65N06 -- 65N12 -- 65F05; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2015.1109520
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In this article, an optimal error estimate for parabolic variational inequalities is studied. Existence and uniqueness of the solution is provided by the introduction of a constructive algorithm. An optimally L ∞ -asymptotic behavior in uniform norm is proved using the semi-implicit time scheme combined with the finite element spatial approximation. The approach is based on the concept of subsolutions.