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SVD application in non-uniqueness problem of BEM/BIEM

SVD application in non-uniqueness problem of BEM/BIEM. Reporter : Kao S. K. Advisor : Chen J. T. Date: 2009/03/17. National Taiwan Ocean University MSVLAB Department of Harbor and River Engineering. Outline. Eigenproblem for concentric sphere Eigenproblem for eccentric sphere

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SVD application in non-uniqueness problem of BEM/BIEM

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  1. SVD application in non-uniqueness problem of BEM/BIEM Reporter : Kao S. K. Advisor : Chen J. T. Date: 2009/03/17 National Taiwan Ocean University MSVLAB Department of Harbor and River Engineering

  2. Outline • Eigenproblem for concentric sphere • Eigenproblem for eccentric sphere • Linton and Evans’ method • Conclusions 2

  3. Outline • Eigenproblem for concentric sphere • Eigenproblem for eccentric sphere • Linton and Evans’ method • Conclusions 3

  4. Concentric sphere 4

  5. Null-field Integral equation - UT 5

  6. SVD updating terms U L Dirichlet B.C. (fixed-fixed)-True 6

  7. SVD updating document L M Hypersingular formulation-Spurious 7

  8. Outline • Eigenproblem for concentric sphere • Eigenproblem for eccentric sphere • Linton and Evans’ method • Conclusions 8

  9. Eccentric sphere 9

  10. Singular formulation-Spurious Concentric sphere eccentric sphere 10

  11. Hypersingular formulation-Spurious concentric sphere eccentric sphere 11

  12. Outline • Eigenproblem for concentric sphere • Eigenproblem for eccentric sphere • Linton and Evans’ method • Conclusions 12

  13. Linton and Evans’ method (Multi-pole method) radiation concentric sphere scattering eccentric sphere 13

  14. Comparison between the present method and LE method [] 14

  15. Problem statement 15

  16. 16

  17. The end Thanks for your kind attention. Welcome to visit the web site of MSVLAB: http://ind.ntou.edu.tw/~msvlab 17

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