We construct and study a set of hierarchic basis functions for the Galerkin discretisation of the space H(curl;Φ#169;) suitable for hybrid meshes containing both quadrilateral and triangular elements with arbitrary non-uniform order polynomial approximation. We investigate the conditioning and dispersive behaviour of the elements. In addition, numerical examples are shown which demonstrate the accuracy of the space for computing solutions of the time-harmonic Maxwell's equations that have singularities.
|Number of pages||24|
|Journal||Computer Methods in Applied Mechanics and Engineering|
|Publication status||Published - 12 Oct 2001|
- Time-harmonic Maxwell's equations
- Computational electromagnetism
- Hierarchic edge elements
- Hybrid meshes