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Optimal L∞-error estimate for variational inequalities with nonlinear source terms

✍ Scribed by M. Boulbrachene

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
377 KB
Volume
15
Category
Article
ISSN
0893-9659

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✦ Synopsis

We establish optimal Lm-error estimate for a class of variational inequalities (VIs) with nonlinear source term, using a very simple argument mainly based on the discrete Lw-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.

📜 SIMILAR VOLUMES

Two-level Schwarz method for solving var
Two-level Schwarz method for solving variational inequality with nonlinear source terms
✍ Chen-liang Li; Jin-ping Zeng 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 157 KB

In this paper, we extend the two-level Schwarz method to solve the variational inequality problems with nonlinear source terms, and establish a convergence theorem. The method converges within finite steps with an appropriate initial point. The numerical results show that the methods are efficient.