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A note on the deRham complex and a discrete compactness property

✍ Scribed by D. Boffi

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 355 KB
Volume: 14
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(00)00108-7

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✦ Synopsis

The aim of this paper is to review the mathematical analysis of the eigenvalue problem associated with the Maxwell's system. Our analysis is quite general and can be applied to several families of edge finite element methods. Moreover, we discuss the links between different conditions that guarantee the good approximations of the eigensolutions, h~ particular, we prove that the eommutativity of the deRham complex implies the discrete comi)actness introduced by Kikuchi in [1]. (~ 2000 Elsevier Science Ltd. All rights reserved.

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