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Two-level Schwarz method for solving variational inequality with nonlinear source terms

โœ Scribed by Chen-liang Li; Jin-ping Zeng


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
157 KB
Volume
211
Category
Article
ISSN
0377-0427

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โœฆ Synopsis


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.


๐Ÿ“œ SIMILAR VOLUMES


Optimal Lโˆž-error estimate for variationa
โœ M. Boulbrachene ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 377 KB

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 cor