Octree-based Finite Element Method for electromagnetic scattering problems

Author

Jackson, Seth A. ; Vouvakis, Marinos N.

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Massachusetts at Amherst, Amherst, MA, USA

fYear

2010

fDate

11-17 July 2010

Firstpage

1

Lastpage

4

Abstract

Currently Finite Element Methods (FEM) fall into one of two categories: FEMs based on structured meshes, and those based on unstructured meshes. Work by Hill, Farle, et. al has explored nonconformal unstructured meshes to aid in the application of adaptive mesh refinement (AMR) and geometric multigrid methods on tetrahedral meshes. Demkowicz, Kurtz, et. al have worked with nonconformal hexahedral meshes. This work proposes an octree mesh based FEM which enjoys fast, robust meshing, as well as simplified matrix assembly. There is the potential to reap large benefits when applied to AMR and multigrid methods, since the overhead of local refinements on unstructured meshes is avoided, and projections between differing levels of mesh refinement are simplified. The stair-casing prevalent in structured meshes, while still present, is mitigated by the nonconformal nature of the octree mesh.

Keywords

differential equations; electromagnetic wave scattering; matrix algebra; mesh generation; octrees; adaptive mesh refinement; electromagnetic scattering problem; geometric multigrid method; nonconformal hexahedral mesh; nonconformal unstructured mesh; octree-based finite element method; simplified matrix assembly; structured mesh; tetrahedral mesh; Convergence; Finite element methods; Geometry; Moment methods; Octrees; Pediatrics; Scattering;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium (APSURSI), 2010 IEEE

Conference_Location

Toronto, ON

ISSN

1522-3965

Print_ISBN

978-1-4244-4967-5

Type

conf

DOI

10.1109/APS.2010.5561918

Filename

5561918