Discretization of hybrid VSIE using mixed mesh elements with zeroth-order galerkin basis functions

Zhiyong Zeng; Cai Cheng Lu

doi:10.1109/TAP.2006.875277

Discretization of hybrid VSIE using mixed mesh elements with zeroth-order galerkin basis functions

Zhiyong Zeng, Cai Cheng Lu

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

The hybrid volume and surface integral equation approach is applied to solve electromagnetic scattering and radiation problems involving conducting and/or dielectric objects. To flexibly and accurately model the complex structures and reduce the number of unknowns, mixed mesh scheme is developed to discretize the object. In this scheme, the triangles and quadrangles are used to discretize the conducting part of the object, and the tetrahedrons, hexahedrons, prisms and pyramids are used to model the dielectric volumes of the scatterer. Numerical results showed the solution accuracies from the mixed element meshes are of the same level compared with the single element meshes, but uses much less number of unknowns. This leads to flexibility for mesh generating and reduces the use of computing resources.

Original language	English
Pages (from-to)	1863-1870
Number of pages	8
Journal	IEEE Transactions on Antennas and Propagation
Volume	54
Issue number	6
DOIs	https://doi.org/10.1109/TAP.2006.875277
State	Published - Jun 2006

Bibliographical note

Funding Information:
Manuscript received August 27, 2004; revised February 1, 2006. This work was supported in part by a YIP award from the Office of Naval Research under Award N00014-00-1-0605, and in part by an NSF CAREER Award under award ECS-0093692.

Keywords

Divergence-conforming basis functions
Electromagnetic scattering
Integral equation
Mesh generation

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/TAP.2006.875277

Cite this

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abstract = "The hybrid volume and surface integral equation approach is applied to solve electromagnetic scattering and radiation problems involving conducting and/or dielectric objects. To flexibly and accurately model the complex structures and reduce the number of unknowns, mixed mesh scheme is developed to discretize the object. In this scheme, the triangles and quadrangles are used to discretize the conducting part of the object, and the tetrahedrons, hexahedrons, prisms and pyramids are used to model the dielectric volumes of the scatterer. Numerical results showed the solution accuracies from the mixed element meshes are of the same level compared with the single element meshes, but uses much less number of unknowns. This leads to flexibility for mesh generating and reduces the use of computing resources.",

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note = "Funding Information: Manuscript received August 27, 2004; revised February 1, 2006. This work was supported in part by a YIP award from the Office of Naval Research under Award N00014-00-1-0605, and in part by an NSF CAREER Award under award ECS-0093692.",

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N2 - The hybrid volume and surface integral equation approach is applied to solve electromagnetic scattering and radiation problems involving conducting and/or dielectric objects. To flexibly and accurately model the complex structures and reduce the number of unknowns, mixed mesh scheme is developed to discretize the object. In this scheme, the triangles and quadrangles are used to discretize the conducting part of the object, and the tetrahedrons, hexahedrons, prisms and pyramids are used to model the dielectric volumes of the scatterer. Numerical results showed the solution accuracies from the mixed element meshes are of the same level compared with the single element meshes, but uses much less number of unknowns. This leads to flexibility for mesh generating and reduces the use of computing resources.

AB - The hybrid volume and surface integral equation approach is applied to solve electromagnetic scattering and radiation problems involving conducting and/or dielectric objects. To flexibly and accurately model the complex structures and reduce the number of unknowns, mixed mesh scheme is developed to discretize the object. In this scheme, the triangles and quadrangles are used to discretize the conducting part of the object, and the tetrahedrons, hexahedrons, prisms and pyramids are used to model the dielectric volumes of the scatterer. Numerical results showed the solution accuracies from the mixed element meshes are of the same level compared with the single element meshes, but uses much less number of unknowns. This leads to flexibility for mesh generating and reduces the use of computing resources.

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Discretization of hybrid VSIE using mixed mesh elements with zeroth-order galerkin basis functions

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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