A New Approach to Asymptotic Behavior for a Finite Element Approximation in Parabolic Variational Inequalities. (7th July 2011)

• Record Type: Journal Article
• Authors: Boulaaras, Salah; Haiour, Mohamed
• Other Names: Garcea G. Academic Editor.; Zhang S. Academic Editor.
• Is Part Of: ISRN mathematical analysis. Volume 2011(2011)
• Publication Date: 2011-07-07
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Periodicals; 515
• DOI: 10.5402/2011/703670
• Languages: English
• ISSNs: 2090-4657

Abstract

Abstract : The paper deals with the theta time scheme combined with a finite element spatial approximation of parabolic variational inequalities. The parabolic variational inequalities are transformed into noncoercive elliptic variational inequalities. A simple result to time energy behavior is proved, and a new iterative discrete algorithm is proposed to show the existence and uniqueness. Moreover, its convergence is established. Furthermore, a simple proof to asymptotic behavior in uniform norm is given.