Rapid Electromagnetic Modeling and Simulation of Eddy Current NDE by MLKD-ACA Algorithm with Integral Kernel Truncations Article Swipe
Yang Bao
,
Zhiwei Liu
,
Jiming Song
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.3390/sym14040712
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.3390/sym14040712
In this article, a novel hybrid method of multilevel kernel degeneration and adaptive cross approximation (MLKD-ACA) algorithm with integral kernel truncations is proposed to accelerate solving integral equations using method of moments (MoM), and to simulate the 3D eddy current nondestructive evaluation (NDE) problems efficiently. The MLKD-ACA algorithm with an integral kernel-truncations-based fast solver is symmetrical in the sense that: (1) the impedance matrix, which is generated by the MoM representing the interactions among the field and source basis functions, is symmetrical; (2) the factorized form of the integral kernel (Green’s function) resulted from degenerating it by the Lagrange polynomial interpolation is symmetrical; (3) the structure of the truncated integral kernel for the interactions among the blocks, which ignores the trivial ones of the far block pairs, is symmetrical using the integral kernel truncations technique. The impedance variations predicted by the proposed symmetrical eddy current NDE solver are compared with other methods in benchmarks to show the remarkable accuracy and efficiency.
Related Topics
Concepts
Solver
Kernel (algebra)
Integral equation
Algorithm
Mathematics
Impedance parameters
Lagrange polynomial
Eddy current
Applied mathematics
Interpolation (computer graphics)
Method of moments (probability theory)
Basis function
Mathematical analysis
Electrical impedance
Mathematical optimization
Computer science
Polynomial
Physics
Discrete mathematics
Artificial intelligence
Motion (physics)
Estimator
Statistics
Quantum mechanics
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.3390/sym14040712
- https://www.mdpi.com/2073-8994/14/4/712/pdf?version=1648789053
- OA Status
- gold
- References
- 29
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4225611613
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4225611613Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.3390/sym14040712Digital Object Identifier
- Title
-
Rapid Electromagnetic Modeling and Simulation of Eddy Current NDE by MLKD-ACA Algorithm with Integral Kernel TruncationsWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2022Year of publication
- Publication date
-
2022-04-01Full publication date if available
- Authors
-
Yang Bao, Zhiwei Liu, Jiming SongList of authors in order
- Landing page
-
https://doi.org/10.3390/sym14040712Publisher landing page
- PDF URL
-
https://www.mdpi.com/2073-8994/14/4/712/pdf?version=1648789053Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
goldOpen access status per OpenAlex
- OA URL
-
https://www.mdpi.com/2073-8994/14/4/712/pdf?version=1648789053Direct OA link when available
- Concepts
-
Solver, Kernel (algebra), Integral equation, Algorithm, Mathematics, Impedance parameters, Lagrange polynomial, Eddy current, Applied mathematics, Interpolation (computer graphics), Method of moments (probability theory), Basis function, Mathematical analysis, Electrical impedance, Mathematical optimization, Computer science, Polynomial, Physics, Discrete mathematics, Artificial intelligence, Motion (physics), Estimator, Statistics, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- References (count)
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29Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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