Finite element estimates for a class of nonlinear variational inequalities

Muhammad Aslam Noor

International Journal of Mathematics and Mathematical Sciences, 1993, vol. 16, 1-7

Abstract:

It is well known that a wide class of obstacle and unilateral problems arising in pure and applied sciences can be studied in a general and unifield framework of variational inequalities. In this paper, we derive the error estimates for the finite element approximate solution for a class of highly nonlinear variational inequalities encountered in the field of elasticity and glaciology in terms of W 1 , p ( Ω ) and L p ( Ω ) -norms. As a special case, we obtain the well-known error estimates for the corresponding linear obstacle problem and nonlinear problems.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:828656

DOI: 10.1155/S0161171293000614

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