Picture of a sphere with binary code

Making Strathclyde research discoverable to the world...

The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs. It exposes Strathclyde's world leading Open Access research to many of the world's leading resource discovery tools, and from there onto the screens of researchers around the world.

Explore Strathclyde Open Access research content

Hierarchic hp-edge element families for Maxwell's equations on hybrid quadrilateral/triangular meshes

Ainsworth, Mark and Coyle, Joe (2001) Hierarchic hp-edge element families for Maxwell's equations on hybrid quadrilateral/triangular meshes. Computer Methods in Applied Mechanics and Engineering, 190 (49-50). pp. 6709-6733.

Full text not available in this repository. (Request a copy from the Strathclyde author)

Abstract

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.