### 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 |

Publication status | Published - Nov 2002 |

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### Keywords

- Finite element
- L-error estimate
- L-stability
- Nonlinear source term
- Variational inequalities

### ASJC Scopus subject areas

- Computational Mechanics
- Control and Systems Engineering
- Applied Mathematics
- Numerical Analysis