SVD application in nonuniqueness problem of BEMBIEM Reporter

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

M S V Outline Eigenproblem for concentric sphere n Eigenproblem for eccentric sphere n Linton and Evans’ method n Conclusions n MSVLAB, HRE, NTOU 2

M S V Outline Eigenproblem for concentric sphere n Eigenproblem for eccentric sphere n Linton and Evans’ method n Conclusions n MSVLAB, HRE, NTOU 3

M S V Concentric sphere MSVLAB, HRE, NTOU 4

M S V Null-field Integral equation - UT MSVLAB, HRE, NTOU 5

M S V Dirichlet B. C. (fixed-fixed)-True SVD updating terms U L MSVLAB, HRE, NTOU 6

M S V Hypersingular formulation-Spurious SVD updating document L M MSVLAB, HRE, NTOU 7

M S V Outline Eigenproblem for concentric sphere n Eigenproblem for eccentric sphere n Linton and Evans’ method n Conclusions n MSVLAB, HRE, NTOU 8

M S V Eccentric sphere MSVLAB, HRE, NTOU 9

M S V Singular formulation-Spurious Concentric sphere MSVLAB, HRE, NTOU eccentric sphere 10

M S V Hypersingular formulation-Spurious concentric sphere eccentric sphere MSVLAB, HRE, NTOU 11

M S V Outline Eigenproblem for concentric sphere n Eigenproblem for eccentric sphere n Linton and Evans’ method n Conclusions n MSVLAB, HRE, NTOU 12

M S Linton and Evans’ method (Multi-pole method) V Interior problem Exterior problem radiation concentric sphere scattering eccentric sphere MSVLAB, HRE, NTOU 13

Comparison between the present method and M S V LE method [] Method Present method Linton and Evans’ method Coordinate Adaptive observer system Multi-pole Formulation MSVLAB, HRE, NTOU 14

M S V Problem statement MSVLAB, HRE, NTOU 15

M S V MSVLAB, HRE, NTOU 16

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