Finite Element Based Generalized Impedance Boundary Condition For Complicated Em Calculation

Shiquan He; Zaiping Nie; Jun Zh Huang; Lijun Jiang; Weng Cho Chew

doi:10.1109/APS.2011.5997082

Finite Element Based Generalized Impedance Boundary Condition For Complicated Em Calculation

Shiquan He
, Zaiping Nie
, Jun Zh Huang
, Lijun Jiang
, Weng Cho Chew

Missouri University of Science and Technology

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

Abstract

In this paper, a finite element based generalized impedance boundary condition (FEM-GIBC) is proposed to solve complicated electromagnetic (EM) problems. Complex structures with arbitrary inhomogeneity and shapes are modeled with the finite element method, and their scattering contributions are transformed to generalized impedance conditions on their boundaries. For each sub-domain, a special GIBC can be established and it is only related to the structures in this domain. Hence, for finite periodic structures, a representative GIBC can be formulated at the boundary of a unit cell. After the GIBC at each boundary is established, the electromagnetic coupling between each impedance boundary can be calculated by the boundary integral equations (BIE) and accelerated with the multilevel fast multipole algorithm (MLFMA). © 2011 IEEE.

Original language	American English
Journal	IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
DOIs	https://doi.org/10.1109/APS.2011.5997082
State	Published - Nov 1 2011

Keywords

boundary integral equation
finite element method
generalized impedance boundary condition

Disciplines

Electrical and Computer Engineering

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title = "Finite Element Based Generalized Impedance Boundary Condition For Complicated Em Calculation",

abstract = " In this paper, a finite element based generalized impedance boundary condition (FEM-GIBC) is proposed to solve complicated electromagnetic (EM) problems. Complex structures with arbitrary inhomogeneity and shapes are modeled with the finite element method, and their scattering contributions are transformed to generalized impedance conditions on their boundaries. For each sub-domain, a special GIBC can be established and it is only related to the structures in this domain. Hence, for finite periodic structures, a representative GIBC can be formulated at the boundary of a unit cell. After the GIBC at each boundary is established, the electromagnetic coupling between each impedance boundary can be calculated by the boundary integral equations (BIE) and accelerated with the multilevel fast multipole algorithm (MLFMA). {\textcopyright} 2011 IEEE.",

keywords = "boundary integral equation, finite element method, generalized impedance boundary condition",

author = "Shiquan He and Zaiping Nie and Huang, \{Jun Zh\} and Lijun Jiang and Chew, \{Weng Cho\}",

year = "2011",

month = nov,

day = "1",

doi = "10.1109/APS.2011.5997082",

language = "American English",

journal = "IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)",

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TY - JOUR

T1 - Finite Element Based Generalized Impedance Boundary Condition For Complicated Em Calculation

AU - He, Shiquan

AU - Nie, Zaiping

AU - Huang, Jun Zh

AU - Jiang, Lijun

AU - Chew, Weng Cho

PY - 2011/11/1

Y1 - 2011/11/1

N2 - In this paper, a finite element based generalized impedance boundary condition (FEM-GIBC) is proposed to solve complicated electromagnetic (EM) problems. Complex structures with arbitrary inhomogeneity and shapes are modeled with the finite element method, and their scattering contributions are transformed to generalized impedance conditions on their boundaries. For each sub-domain, a special GIBC can be established and it is only related to the structures in this domain. Hence, for finite periodic structures, a representative GIBC can be formulated at the boundary of a unit cell. After the GIBC at each boundary is established, the electromagnetic coupling between each impedance boundary can be calculated by the boundary integral equations (BIE) and accelerated with the multilevel fast multipole algorithm (MLFMA). © 2011 IEEE.

AB - In this paper, a finite element based generalized impedance boundary condition (FEM-GIBC) is proposed to solve complicated electromagnetic (EM) problems. Complex structures with arbitrary inhomogeneity and shapes are modeled with the finite element method, and their scattering contributions are transformed to generalized impedance conditions on their boundaries. For each sub-domain, a special GIBC can be established and it is only related to the structures in this domain. Hence, for finite periodic structures, a representative GIBC can be formulated at the boundary of a unit cell. After the GIBC at each boundary is established, the electromagnetic coupling between each impedance boundary can be calculated by the boundary integral equations (BIE) and accelerated with the multilevel fast multipole algorithm (MLFMA). © 2011 IEEE.

KW - boundary integral equation

KW - finite element method

KW - generalized impedance boundary condition

UR - https://scholarsmine.mst.edu/ele_comeng_facwork/5387

U2 - 10.1109/APS.2011.5997082

DO - 10.1109/APS.2011.5997082

M3 - Article

JO - IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)

JF - IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)

ER -

Finite Element Based Generalized Impedance Boundary Condition For Complicated Em Calculation

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