IJPAM: Volume 109, No. 3 (2016)

NEW $H^{1}(\Omega)$ CONFORMING FINITE ELEMENTS
ON HEXAHEDRA

Ji Hyun Kim
Department of Mathematics
Hannam University
133 Ojeong-dong, Daedeok-gu, Daejeon 306-791, REPUBLIC OF KOREA

Abstract. In this paper, we introduce new scalar finite element spaces on hexahedron. We prove the unisolvence of degrees of freedom and analyze our spaces using the discrete de Rham diagram.

Received: June 23, 2016

Revised: September 20, 2016

Published: October 1, 2016

AMS Subject Classification: 65N30, 65N25

Key Words and Phrases: finite element methods, $H^{1}$ conforming elements, curl conforming elements, de Rham diagram
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DOI: 10.12732/ijpam.v109i3.10 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 109
Issue: 3
Pages: 609 - 617


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