Volume no :52, Issue no: 1, July (2018)

Journal of Mathematical Sciences: Advances and Applications

AN ANALYSIS OF NEW FINITE ELEMENT SPACES FOR MAXWELL’S EQUATIONS

Author's: Ji Hyun Kim
Pages: [1] - [19]
Received Date: June 11, 2018
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121975

Abstract

In this paper, we introduce four different finite element spaces on hexahedron for Maxwell’s equations. We also describe interpolation operators that map from suitable subspaces and the space into the appropriate finite element spaces. For the error analysis, we prove that the spaces and interpolation operators are linked by the discrete de Rham diagram.

Keywords

conforming element, edge element, divergence conforming element, conforming element, de Rham diagram.