A Wavelet-based Method for Numerical Calculation of Singular Integrals in Eddy Current Analysis

• CHEN Zhenmao

  Structure Safety Engineering Group

• MIYA Kenzo

  University of Tokyo

書誌事項

タイトル別名

• Wavelet-based Method for Numerical Calculation of Singular Integrals in Eddy Current Analysis

抄録

In present paper, a wavelet based method is proposed for the numerical calculation of singular integrals in light of the orthogonal and compact support features of wavelet bases. The key point of this new approach is that the integral is proved possibly to be computed at a very low resolution level. A new decomposition procedure is also proposed based on the Mallat's multiresolution algorithm in order that the singular kernel of the integrand function can be decomposed from a high resolution level. The applications of this method to an one dimensional singular integral and to the surface integral term of an eddy current analysis formula (T method) show that the wavelet integration method can both give a high accuracy and reduce computer burden in practical calculations. Finally, a surface singular integral utilized in the three dimensional eddy current analysis is discussed by comparing analytical results with those evaluated by the present and conventional numerical approaches.

収録刊行物

• 電気学会論文誌．　Ａ

  電気学会論文誌．　Ａ 119 (7), 957-964, 1999

  一般社団法人 電気学会

キーワード

• Wavelet
• Singular integration
• Current potential method
• Eddy current analysis

詳細情報

• CRID: 1390001204598718720
• NII論文ID: 130006838530
• NII論文ID: 10004540531
• NII書誌ID: AN10136312
• DOI: 10.1541/ieejfms1990.119.7_957
• ISSN: 13475533
• ISSN: 03854205
• NDL書誌ID: 4780254
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4780254
• Web Site: https://www.jstage.jst.go.jp/article/ieejfms1990/119/7/119_7_957/_pdf
• 本文言語コード: en
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