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Base functions and discrete constitutive relations for staggered polyhedral grids
- Source :
-
Computer Methods in Applied Mechanics & Engineering . Feb2009, Vol. 198 Issue 9-12, p1117-1123. 7p. - Publication Year :
- 2009
-
Abstract
- Abstract: An electromagnetic problem can be discretized on a pair of interlocked primal–dual grids according to discrete geometric approaches like the Finite Integration Technique (FIT) or the Cell Method (CM). The critical aspect is however the construction of the discrete counterparts of the constitutive relations assuring stability and consistency of the overall discrete system of algebraic equations. Initially only orthogonal Cartesian grids where considered; more recently primal grids of tetrahedra and oblique prisms with triangular base can be handled. With this paper a novel set of edge and face vector functions for general polyhedral primal grids is presented, complying with precise specifications which allow to construct stable and consistent discrete constitutive equations in the framework of an energetic approach. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00457825
- Volume :
- 198
- Issue :
- 9-12
- Database :
- Academic Search Index
- Journal :
- Computer Methods in Applied Mechanics & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 36190600
- Full Text :
- https://doi.org/10.1016/j.cma.2008.11.021