Finite element estimates for a class of nonlinear variational inequalities
Open Access
- 16 March 1991
- journal article
- research article
- Published by Wiley in International Journal of Mathematics and Mathematical Sciences
- Vol. 16 (3) , 503-509
- https://doi.org/10.1155/s0161171293000614
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 W1,p(Ω) and Lp(Ω)-norms. As a special case, we obtain the well-known error estimates for the corresponding linear obstacle problem and nonlinear problems.Keywords
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