IJPAM: Volume 59, No. 4 (2010)
APPROXIMATION OF FOURTH-ORDER
VARIATIONAL INEQUALITY
VARIATIONAL INEQUALITY
Rizwan Butt
, Yahya Ahmad Alnashri
Department of Mathematics
College of Science
King Saud University
P.O. Box 2455, Riyadh, 11451, KINGDOM OF SAUDI ARABIA
e-mail: rizwanbu@ksu.edu.sa
The Excellence Center of Science and Mathematical Education
King Saud University
P.O. Box 2455, Riyadh, 11451, KINGDOM OF SAUDI ARABIA
e-mail: yalnashri77@yahoo.com
, Yahya Ahmad Alnashri
Department of Mathematics
College of Science
King Saud University
P.O. Box 2455, Riyadh, 11451, KINGDOM OF SAUDI ARABIA
e-mail: rizwanbu@ksu.edu.sa
The Excellence Center of Science and Mathematical Education
King Saud University
P.O. Box 2455, Riyadh, 11451, KINGDOM OF SAUDI ARABIA
e-mail: yalnashri77@yahoo.com
Abstract.In this paper we shall study the uniqueness, existence, and
approximation of the solution of elliptic variational inequality of order 4,
and also determine an error estimate for the difference of the two
solutions in appropriate norm.
Received: January 27, 2010
AMS Subject Classification: 35-XX, 35Bxx, 35Qxx
Key Words and Phrases: Hilbert space, Sobolev space, inner product, approximation, convexity, variational inequality
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 59
Issue: 4