L∞-error estimates for a class of semilinear elliptic variational inequalities and quasi-variational inequalities
This paper deals with the finite element approximation of a class of variational inequalities (VI) and quasi-variational inequalities (QVI) with the right-hand side depending upon the solution. We prove that the approximation is optimally accurate in L∞ combining the Banach fixed point theorem with...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201010602 |
| Summary: | This paper deals with the finite element approximation
of a class of variational inequalities (VI) and quasi-variational inequalities (QVI) with the right-hand
side depending upon the solution. We prove that the approximation is optimally accurate in L∞ combining the Banach fixed point theorem with the standard
uniform error estimates in linear VIs and QVIs. We also
prove that this approach extends successfully to the
corresponding noncoercive problems. |
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| ISSN: | 0161-1712 1687-0425 |