Abstract
We establish optimal L∞-error estimate for a class of variational inequalities (VIs) with nonlinear source term, using a very simple argument mainly based on the discrete L∞-stability property with respect to the right-hand side in elliptic VIs. We also show that the same approach extends to the corresponding noncoercive problems and optimal uniform convergence order is obtained as well.
Original language | English |
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Pages (from-to) | 1013-1017 |
Number of pages | 5 |
Journal | Applied Mathematics Letters |
Volume | 15 |
Issue number | 8 |
DOIs | |
Publication status | Published - Nov 2002 |
Keywords
- Finite element
- L-error estimate
- L-stability
- Nonlinear source term
- Variational inequalities
ASJC Scopus subject areas
- Applied Mathematics