IJPAM: Volume 91, No. 2 (2014)
Department of Mathematics
133 Ojeong-Dong, Daedeok-Gu, Daejeon 306-791, REPUBLIC OF KOREA
Abstract. Discretization of Maxwell's eigenvalue problem with edge finite elements involves a simultaneous use of two discrete subspaces of and . In this paper, we introduce new scalar finite element spaces and edge finite element spaces, respectively. We also prove the unisolvence of degrees of freedom and analyze our spaces using the discrete de Rham diagram.
Received: November 29, 2013
AMS Subject Classification: 65N30, 65N25
Key Words and Phrases: finite element methods, conforming elements, curl conforming elements, de Rham diagram
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DOI: 10.12732/ijpam.v91i2.11 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395