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Uniform convergence and two-level Schwarz method for Carey non-conforming element method for non-self-adjoint and indefinite problems

✍ Scribed by Chen, Jinru

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 140 KB
Volume: 16
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(200004)16:4<275::aid-cnm330>3.0.co;2-8

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✦ Synopsis

In this paper, the existence, uniqueness and uniform convergence of the solution of the Carey nonconforming element with non-quasi-uniform partitions is proved for non-self-adjoint and inde"nite secondorder elliptic problems under a minimal regularity assumption. Furthermore, the optimal error estimate for the solution of Carey non-conforming element method is obtained only under an H smoothness hypothesis. Finally, a two-level Schwarz method which suits non-quasi-uniform partitions is proposed and optimal convergence for the pre-conditioned GMRES method is shown.

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