Convergence of the finite element method as applied to electromagnetic scattering problems in the presence of inhomogeneous media

Approximate radiation boundary conditions (BCs) make partial-differential-equation-based methods attractive for the solution of electromagnetic scattering problems, especially for geometrically complex inhomogenous targets. These BCs allow for an exterior boundary value problem (BVP) to be approxima...

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Published in:IEEE transactions on magnetics Vol. 27; no. 5; pp. 3845 - 3847
Main Authors: Bahramasel, L.J., Whitaker, R.A.
Format: Journal Article Conference Proceeding
Language:English
Published: New York, NY IEEE 01.09.1991
Institute of Electrical and Electronics Engineers
Subjects:
Boundary value problems
Computer errors
Convergence
Dielectrics
Electromagnetic radiation
Electromagnetic scattering
Electromagnetism; electron and ion optics
Equations
Exact sciences and technology
Finite element methods
Fundamental areas of phenomenology (including applications)
Nonhomogeneous media
Physics
Tellurium
ISSN:0018-9464, 1941-0069
Online Access:Get full text
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Abstract Approximate radiation boundary conditions (BCs) make partial-differential-equation-based methods attractive for the solution of electromagnetic scattering problems, especially for geometrically complex inhomogenous targets. These BCs allow for an exterior boundary value problem (BVP) to be approximated by an interior BVP. The use of the second-order Bayliss-Turkel BC for two-dimensional inhomogeneous targets is considered. In numerical experiments the rate of convergence with respect to mesh size previously predicted continues to hold.< >
AbstractList Approximate radiation boundary conditions (BCs) make partial-differential-equation-based methods attractive for the solution of electromagnetic scattering problems, especially for geometrically complex inhomogenous targets. These BCs allow for an exterior boundary value problem (BVP) to be approximated by an interior BVP. The use of the second-order Bayliss-Turkel BC for two-dimensional inhomogeneous targets is considered. In numerical experiments the rate of convergence with respect to mesh size previously predicted continues to hold. (I.E.)
Approximate radiation boundary conditions (BCs) make partial-differential-equation-based methods attractive for the solution of electromagnetic scattering problems, especially for geometrically complex inhomogenous targets. These BCs allow for an exterior boundary value problem (BVP) to be approximated by an interior BVP. The use of the second-order Bayliss-Turkel BC for two-dimensional inhomogeneous targets is considered. In numerical experiments the rate of convergence with respect to mesh size previously predicted continues to hold.
Author Whitaker, R.A.
Bahramasel, L.J.
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References ref2
bahrmasel (ref5) 1990
ref4
strang (ref3) 1973
mccartin (ref1) 1989
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  publication-title: An Analysis of the Finite Element Method
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  doi: 10.1016/0021-9991(85)90119-6
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  ident: ref1
  publication-title: PIER 2 Finite Element and Finite Difference Methods in Electromagnetic Scattering
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  doi: 10.1002/cpa.3160330603
– year: 1990
  ident: ref5
  article-title: Numerical Analysis of Errors Arising in the Finite Element Solution of Electromagnetics Problems
  publication-title: URSI Radio Science Meeting
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SubjectTerms Boundary value problems
Computer errors
Convergence
Dielectrics
Electromagnetic radiation
Electromagnetic scattering
Electromagnetism; electron and ion optics
Equations
Exact sciences and technology
Finite element methods
Fundamental areas of phenomenology (including applications)
Nonhomogeneous media
Physics
Tellurium
Title Convergence of the finite element method as applied to electromagnetic scattering problems in the presence of inhomogeneous media
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