An Efficient Multilevel Fast Multipole Algorithm to Solve Volume Integral Equation for Arbitrary Inhomogeneous Bi-Anisotropic Objects Article Swipe
Jinbo Liu
,
Zengrui Li
,
Limei Luo
,
Jiming Song
·
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.1109/access.2019.2941257
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.1109/access.2019.2941257
A volume integral equation (VIE) based on the mixed-potential representation is presented to analyze the electromagnetic scattering from objects involving inhomogeneous bi-anisotropic materials. By discretizing the objects using tetrahedrons on which the commonly used Schaubert-Wilton-Glisson (SWG) basis functions are defined, the matrix equation is derived using the method of moments (MoM) combined with the Galerkin's testing. Further, adopting an integral strategy of tetrahedron-to-tetrahedron scheme, the multilevel fast multipole algorithm (MLFMA) is proposed to accelerate the iterative solution, which is further improved by using the spherical harmonics expansion with a faster implementation and low memory requirement. The memory requirement of the radiation patterns of basis functions in the proposed MLFMA is several times less than that in the conventional MLFMA.
Related Topics
Concepts
Multipole expansion
Tetrahedron
Basis function
Method of moments (probability theory)
Integral equation
Spherical harmonics
Discretization
Mathematics
Basis (linear algebra)
Vector spherical harmonics
Galerkin method
Discontinuous Galerkin method
Matrix (chemical analysis)
Mathematical analysis
Algorithm
Physics
Geometry
Finite element method
Quantum mechanics
Composite material
Estimator
Statistics
Materials science
Thermodynamics
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1109/access.2019.2941257
- https://ieeexplore.ieee.org/ielx7/6287639/8600701/08836546.pdf
- OA Status
- gold
- Cited By
- 3
- References
- 26
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2973202566
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W2973202566Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.1109/access.2019.2941257Digital Object Identifier
- Title
-
An Efficient Multilevel Fast Multipole Algorithm to Solve Volume Integral Equation for Arbitrary Inhomogeneous Bi-Anisotropic ObjectsWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2019Year of publication
- Publication date
-
2019-01-01Full publication date if available
- Authors
-
Jinbo Liu, Zengrui Li, Limei Luo, Jiming SongList of authors in order
- Landing page
-
https://doi.org/10.1109/access.2019.2941257Publisher landing page
- PDF URL
-
https://ieeexplore.ieee.org/ielx7/6287639/8600701/08836546.pdfDirect link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
goldOpen access status per OpenAlex
- OA URL
-
https://ieeexplore.ieee.org/ielx7/6287639/8600701/08836546.pdfDirect OA link when available
- Concepts
-
Multipole expansion, Tetrahedron, Basis function, Method of moments (probability theory), Integral equation, Spherical harmonics, Discretization, Mathematics, Basis (linear algebra), Vector spherical harmonics, Galerkin method, Discontinuous Galerkin method, Matrix (chemical analysis), Mathematical analysis, Algorithm, Physics, Geometry, Finite element method, Quantum mechanics, Composite material, Estimator, Statistics, Materials science, ThermodynamicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
3Total citation count in OpenAlex
- Citations by year (recent)
-
2022: 1, 2021: 1, 2020: 1Per-year citation counts (last 5 years)
- References (count)
-
26Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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