A Hybridizable Discontinuous Galerkin Method for Solving 3D Time-Harmonic Maxwell’s Equations

L. Li (), S. Lanteri () and R. Perrussel ()
Additional contact information
L. Li: University of Electronic Science and Technology of China, School of Mathematical Sciences
S. Lanteri: INRIA, NACHOS project-team
R. Perrussel: Université de Toulouse, CNRS/INPT/UPS, LAPLACE (LAboratoire PLasma et Conversion d’Énergie)

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 119-128 from Springer

Abstract: Abstract We study the numerical solution of 3d time-harmonic Maxwell’s equations by a hybridizable discontinuous Galerkin method. A hybrid term representing the tangential component of the numerical trace of the magnetic field is introduced. The global system to solve only involves the hybrid term as unknown. We show that the reduced system has properties similar to wave equation discretizations and the tangential components of the numerical traces for both electric and magnetic fields are single-valued. On the example of a plane wave propagation in vacuum the approximate solutions for both electric and magnetic fields have an optimal convergence order.

Keywords: Tangential Component; Discontinuous Galerkin; Discontinuous Galerkin Method; Hybrid Variable; Finite Element Space (search for similar items in EconPapers)
Date: 2013
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_13

Ordering information: This item can be ordered from
http://www.springer.com/9783642331343

DOI: 10.1007/978-3-642-33134-3_13

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().