DataVXResearch in Nondestructive EvaluationPaper
journal article·2021-11-02

Hybrid Method of ACA and Interpolation-based Algorithms for Analysis of Eddy Current Nondestructive Evaluations

Yang Bao, Zhiwei Liu, Jiming Song

Research in Nondestructive Evaluation· Volume 32· Issue 6
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Source abstract

Abstract

In this article, the hybridization of adaptive cross approximation (ACA) algorithm and interpolation-based separation of the kernel function is proposed to accelerate solving the matrix equations resulted in the boundary element method (BEM) for 3D arbitrary-shaped eddy current nondestructive evaluation problems. The hybrid method combines the advantages of both the ACA algorithm and the interpolation-based methods, and resolves the shortcoming of pure ACA method, when modeling the planar eddy current nondestructive evaluation problems, that it cannot compress the null entries the BEM generated when the testing and basis patches are co-planar. In the proposed method, the submatrices associated with the null entries are compressed by the interpolation-based method, while the others are compressed by the ACA algorithm. Several benchmarks are shown to demonstrate both the robustness and efficiency of the proposed fast and general solver.
Source: openalex_inverted_index · Quality: baseline

Research context

OpenAlex topics: Non-Destructive Testing Techniques · Electromagnetic Simulation and Numerical Methods · Electromagnetic Scattering and Analysis

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

College of Electronic and Optical Engineering, Nanjing University of Posts and Telecommunications, Nanjing, Jiangsu, China

State Key Laboratory of Millimeter Waves, Southeast University, Nanjing, Jiangsu, China

Department of Information Engineering, East China Jiaotong University, Nanchang, Jiangxi, China

Department of Electrical and Computer Engineering, Iowa State University, Ames, Iowa, USA

Funding

NUPTSF · National Natural Science Foundation of China · Natural Science Foundation of Jiangsu Province · State Key Laboratory of Millimeter Waves · Jiangxi provincial Outstanding Youth Talent Project of Science and Technology Innovation · Natural Science Foundation of Jiangxi Province

References (28)

Show source-provided references
1. Libby H. · 1971
2. 10.1109/TMAG.2012.223610210.1109/TMAG.2012.2236102 ↗
3. 10.1016/j.ndteint.2009.08.00510.1016/j.ndteint.2009.08.005 ↗
4. 10.1016/j.ndteint.2010.06.00310.1016/j.ndteint.2010.06.003 ↗
5. M. Yang, dissertation, Iowa State University, 2010.
6. 10.1016/j.ndteint.2013.09.00510.1016/j.ndteint.2013.09.005 ↗
7. 10.1109/8.63385510.1109/8.633855 ↗
8. 10.1002/mop.465010010710.1002/mop.4650100107 ↗
9. 10.1109/TEMC.2005.85789810.1109/TEMC.2005.857898 ↗
10. 10.1007/PL0000541010.1007/PL00005410 ↗
11. 10.1109/TMAG.2006.89097110.1109/TMAG.2006.890971 ↗
12. 10.1109/20.99611210.1109/20.996112 ↗
13. 10.1007/s10921-018-0521-110.1007/s10921-018-0521-1 ↗
14. 10.1016/j.ndteint.2019.03.00510.1016/j.ndteint.2019.03.005 ↗
15. Bao Y. · Appl.Comput. Electromagn. Soc. J. · 2019 · 34 · 1262
16. 10.1007/s00607005001510.1007/s006070050015 ↗
17. Hackbusch W. · Computing · 2000 · 64 · 2110.1007/PL00021408 ↗
18. 10.1007/s00607-003-0019-110.1007/s00607-003-0019-1 ↗
19. Stratton J. A. · 1941
20. Bao Y. · Philosop. Trans. R. Soc. A · 2020 · 378 · 1
21. 10.1007/s00211-005-0618-110.1007/s00211-005-0618-1 ↗
22. Y. Baoet al.NDT&E Int.124, 1-13 (2021). DOI: 10.1016/j.ndteint.2021.102544.10.1016/j.ndteint.2021.102544 ↗
23. 10.1023/A:102189852062610.1023/A:1021898520626 ↗
24. 10.1098/rspa.2005.150910.1098/rspa.2005.1509 ↗
25. 10.1063/1.165668010.1063/1.1656680 ↗
26. 10.1109/TMAG.2018.279285810.1109/TMAG.2018.2792858 ↗
27. Antimirov M. Y. · 1997
28. 10.1007/978-1-4615-3344-3_2710.1007/978-1-4615-3344-3_27 ↗