Higher order finite models [computational electromagnetics]

Author

Graglia, Roberto D.

Author_Institution

Dipt. di Elettronica, Politecnico di Torino, Italy

fYear

2004

fDate

1-4 Nov. 2004

Abstract

This work reviews the previous work on high-order modelling and on the use of high-order vector bases in computational electromagnetics. Higher-order vector bases on 2D (triangular and quadrilateral) elements, and on 3D elements are considered. Several 3D elements are presented and discussed altogether: the tetrahedron, the pyramidal element, the triangular prism and the brick. Elements of different shape can be used together to form 2D and 3D conformal meshes. The paper also discusses new singular curl- and divergence-conforming vector bases that incorporate the edge conditions and that are particularly suited to approach wedge problems. Use of these high-order bases provides more accurate and efficient numerical solutions of both surface integral and differential problems.

Keywords

boundary integral equations; computational electromagnetics; conformal mapping; differential equations; finite element analysis; method of moments; 2D elements; 3D elements; brick; computational electromagnetics; conformal meshes; divergence-conforming vector bases; edge conditions; finite-element method; high-order modelling; high-order vector bases; method of moments; pyramidal element; quadrilateral elements; singular curl-conforming vector bases; surface differential problems; surface integral problems; tetrahedron; triangular elements; triangular prism; wedge problems; Electromagnetic modeling; Geometry; Indexing; Lagrangian functions; Moment methods; Polynomials; Shape; Solid modeling;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Electromagnetics and Its Applications, 2004. Proceedings. ICCEA 2004. 2004 3rd International Conference on

Print_ISBN

0-7803-8562-4

Type

conf

DOI

10.1109/ICCEA.2004.1459270

Filename

1459270