A hybrid finite element method for 3-D scattering using nodal and edge elements

Author

Boyse, William E. ; Seid, Andrew A.

Author_Institution

Lockheed Palo Alto Res. Lab., CA, USA

Volume

42

Issue

10

fYear

1994

fDate

10/1/1994 12:00:00 AM

Firstpage

1436

Lastpage

1442

Abstract

A hybrid finite element method for three-dimensional scattering is presented and numerical examples shown. This approach, which couples finite element discretization with the method of moments, is particularly well suited for monostatic radar cross section calculations. The method is based on a scalar and vector potential formulation of Maxwell´s equations, the use of nodal elements, and a highly efficient body of revolution implementation of the method of moments. Combined nodal and edge elements are employed to accurately model fields around corners and edges. A curvature-based sampling criterion is derived and shown to ensure accurate answers for highly curved scatterers. Numerical results and Cray computer timings are compared with published results for an edge element code using radiation boundary conditions

Keywords

Maxwell equations; boundary-value problems; finite element analysis; numerical analysis; radar cross-sections; radar theory; 3D scattering; Maxwell´s equations; body of revolution implementation; corners; curvature-based sampling criterion; edge element code; edges; highly curved scatterers; hybrid finite element method; method of moments; monostatic radar cross section calculations; nodal elements; numerical examples; radiation boundary conditions; scalar potential formulation; vector potential formulation; Boundary conditions; Finite element methods; Geometry; Integral equations; Maxwell equations; Message-oriented middleware; Moment methods; Radar cross section; Radar scattering; Sampling methods;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.320751

Filename

320751