High–order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem

High–order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem

The Maxwell eigenvalue problem is known to pose difficulties for standard numerical methods, predominantly due to its large null space. As an alternative to the widespread use of Galerkin finite–element methods based on curl–conforming elements, we propose to use high–order nodal elements in a disco...

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Veröffentlicht in:Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences physical, and engineering sciences, 2004-03, Vol.362 (1816), p.493-524
Hauptverfasser: Hesthaven, J. S., Warburton, T.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Boundary conditions
Checkerboards
Curl-Conforming Elements
Discontinuous Galerkin Methods
Eigenfunctions
Eigenvalue Problems
Eigenvalues
Galerkin methods
High-Order Accuracy
Mathematical discontinuity
Maxwell equations
Maxwell's Equations
Spectral theory
Spurious Solutions
Unstructured grids
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Beschreibung
Zusammenfassung:The Maxwell eigenvalue problem is known to pose difficulties for standard numerical methods, predominantly due to its large null space. As an alternative to the widespread use of Galerkin finite–element methods based on curl–conforming elements, we propose to use high–order nodal elements in a discontinuous element scheme.
ISSN:1364-503X
1471-2962
DOI:10.1098/rsta.2003.1332