Finite element estimates for a class of nonlinear variational inequalities
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 n...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000614 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |