Numerical Approximation of the Maxwell Equations in Inhomogeneous Media by aP1Conforming Finite Element Method

✍ Scribed by F. Assous; P. Degond; J. Segré

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 604 KB
• Volume: 128
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1996.0217

✦ Synopsis

The aim of this paper is to present an extension of the P 1 conforming finite element method for the time-dependent Maxwell equathe handling of inhomogeneous media and boundary contions that has been previously exposed. We shall consider inhomoditions [5, 13, 14], or the ability to compute divergencegeneous media with the piecewise constant dielectric and magnetic free fields [15][16][17] are investigated. For these questions, parameters, and precisely, the interface of two such media. By analthe advantages of the edge elements [5,9, 18] were proved ogy with the idea developed, we propose a method based on the (see, among others, [19] for a review), even if this approach dualization and then the approximation of the interface conditions in a way consistent with the one derived for the fields and the involves more unknowns than the nodal one [20][21][22]. The Lagrange multipliers of the divergence constraints inside the question of the accuracy for a given mesh is, up to our domain.