Discrete Sobolev and Poincare inequalities via Fourier series

Document Type

Article

Publication Date

1-1-2000

Abstract

Certain discrete Sobolev and Poincare inequalities, which are frequently used in the analysis of nonoverlapping domain decomposition methods, are proven. The approach, which is based on Fourier, enables the establishment of the sharpness of the inequalities.

Publication Source (Journal or Book title)

East-West Journal of Numerical Mathematics

First Page

83

Last Page

92

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