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Constitutive equations for discrete electromagnetic problems over polyhedral grids
- Source :
-
Journal of Computational Physics . Aug2007, Vol. 225 Issue 2, p1894-1918. 25p. - Publication Year :
- 2007
-
Abstract
- Abstract: In this paper a novel approach is proposed for constructing discrete counterparts of constitutive equations over polyhedral grids which ensure both consistency and stability of the algebraic equations discretizing an electromagnetic field problem. The idea is to construct discrete constitutive equations preserving the thermodynamic relations for constitutive equations. In this way, consistency and stability of the discrete equations are ensured. At the base, a purely geometric condition between the primal and the dual grids has to be satisfied for a given primal polyhedral grid, by properly choosing the dual grid. Numerical experiments demonstrate that the proposed discrete constitutive equations lead to accurate approximations of the electromagnetic field. [Copyright &y& Elsevier]
- Subjects :
- *ELECTROMAGNETIC fields
*POLYHEDRAL functions
*EQUATIONS
*ELECTRIC fields
Subjects
Details
- Language :
- English
- ISSN :
- 00219991
- Volume :
- 225
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Computational Physics
- Publication Type :
- Academic Journal
- Accession number :
- 26034283
- Full Text :
- https://doi.org/10.1016/j.jcp.2007.02.032