Svd application in non uniqueness problem of bem biem
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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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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

Outline

  • Eigenproblem for concentric sphere

  • Eigenproblem for eccentric sphere

  • Linton and Evans’ method

  • Conclusions

2


Outline1

Outline

  • Eigenproblem for concentric sphere

  • Eigenproblem for eccentric sphere

  • Linton and Evans’ method

  • Conclusions

3


Concentric sphere

Concentric sphere

4


Null field integral equation ut

Null-field Integral equation - UT

5


Dirichlet b c fixed fixed true

SVD updating terms

U

L

Dirichlet B.C. (fixed-fixed)-True

6


Hypersingular formulation spurious

SVD updating document

L

M

Hypersingular formulation-Spurious

7


Outline2

Outline

  • Eigenproblem for concentric sphere

  • Eigenproblem for eccentric sphere

  • Linton and Evans’ method

  • Conclusions

8


Eccentric sphere

Eccentric sphere

9


Singular formulation spurious

Singular formulation-Spurious

Concentric sphere

eccentric sphere

10


Hypersingular formulation spurious1

Hypersingular formulation-Spurious

concentric sphere

eccentric sphere

11


Outline3

Outline

  • Eigenproblem for concentric sphere

  • Eigenproblem for eccentric sphere

  • Linton and Evans’ method

  • Conclusions

12


Linton and evans method multi pole method

Linton and Evans’ method (Multi-pole method)

radiation

concentric sphere

scattering

eccentric sphere

13


Comparison between the present method and le method

Comparison between the present method and LE method []

14


Problem statement

Problem statement

15


Svd application in non uniqueness problem of bem biem

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The end

The end

Thanks for your kind attention.

Welcome to visit the web site of MSVLAB: http://ind.ntou.edu.tw/~msvlab

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