Quadrature rules for numerical integration over triangles and tetrahedra

Author

Savage, Jennifer S. ; Peterson, A.F.

Author_Institution

Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

Volume

38

Issue

3

fYear

1996

fDate

6/1/1996 12:00:00 AM

Firstpage

100

Lastpage

102

Abstract

Many computational methods in electromagnetics, including the method of moments (MoM) and the finite-element method (FEM), require integrating a function over a given domain. In many cases, analytical solutions for the integrals are not available, and some type of numerical integration must be used. One-dimensional numerical-integration techniques are widespread throughout popular mathematical and engineering texts. However, two-dimensional and three-dimensional numerical-integration methods are discussed only in specialized reports and journal articles, and almost never in the electrical engineering literature. This synopsis reviews the available literature on numerical integration over triangular and tetrahedral domains.

Keywords

electromagnetic field theory; finite element analysis; integration; method of moments; computational methods; electromagnetics; numerical integration; quadrature rules; tetrahedra; triangles; Computational electromagnetics; Electrical engineering; Equations; Finite element methods; Message-oriented middleware; Moment methods; Polynomials; Testing;

fLanguage

English

Journal_Title

Antennas and Propagation Magazine, IEEE

Publisher

ieee

ISSN

1045-9243

Type

jour

DOI

10.1109/74.511963

Filename

511963