Finite element approximation of variational inequalities : an algorithmic approach
Other Title(s)
تقريب العناصر المنتهية للتباينات المتفاوتة : المنهج الخوارزمي
Author
Source
Sultan Qaboos University Journal for Science
Issue
Vol. 22, Issue 2 (31 Dec. 2017), pp.114-119, 6 p.
Publisher
Sultan Qaboos University College of Science
Publication Date
2017-12-31
Country of Publication
Oman
No. of Pages
6
Main Subjects
Abstract EN
In this paper, we introduce a new method to analyze the convergence of the standard finite element method for elliptic variational inequalities with noncoercive operators (VI).
The method consists of combining the so-called Bensoussan-Lions algorithm with the characterization of the solution, in both the continuous and discrete contexts, as fixed point of contraction.
Optimal error estimates are then derived, first between the continuous algorithm and its finite element counterpart, and then between the true solution and the approximate solution
American Psychological Association (APA)
Boulbrachene, Masud. 2017. Finite element approximation of variational inequalities : an algorithmic approach. Sultan Qaboos University Journal for Science،Vol. 22, no. 2, pp.114-119.
https://search.emarefa.net/detail/BIM-812513
Modern Language Association (MLA)
Boulbrachene, Masud. Finite element approximation of variational inequalities : an algorithmic approach. Sultan Qaboos University Journal for Science Vol. 22, no. 2 (2017), pp.114-119.
https://search.emarefa.net/detail/BIM-812513
American Medical Association (AMA)
Boulbrachene, Masud. Finite element approximation of variational inequalities : an algorithmic approach. Sultan Qaboos University Journal for Science. 2017. Vol. 22, no. 2, pp.114-119.
https://search.emarefa.net/detail/BIM-812513
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 119
Record ID
BIM-812513