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On a numerical method for solving obstacle problems

โœ Scribed by Muhammad Aslam Noor; Rafi Ahmad Ashrafi

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
402 KB
Volume
36
Category
Article
ISSN
0378-4754

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โœฆ Synopsis

Variational inequality theory provides us with a general and unified framework to study a large class of unrelated free and moving boundary problems that arise in pure and applied sciences. In this paper we show that a class of variational inequalities related with obstacle problems can be characterized by a system of differential equations which can be solved by using the Fourier series direct method coupled with the Ritz technique.

An illustrative example is given.

๐Ÿ“œ SIMILAR VOLUMES

An algorithm for solving the obstacle pr
An algorithm for solving the obstacle problems
โœ Lian Xue; Xiao-Liang Cheng ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 365 KB

ln this paper, we propose an algorithm for solving the obstacle problem. We try to find the approximated region of the contact in the obstacle problem by iteration. Numerical examples are given for the obstacle problem for a membrane and the elastic-plastic torsion problem. (~) 2004 Elsevier Ltd. Al