1 Notes for using BEM J T Chen ( 陳正宗特聘教授 ) Department of Harbor and River Engineering National Taiwan Ocean University, Keelung, Taiwan Jan. 08, 15:10-15:40,

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1 Notes for using BEM J T Chen ( 陳正宗特聘教授 ) Department of Harbor and River Engineering National Taiwan Ocean University, Keelung, Taiwan Jan. 08, 15:10-15:40, 2007 (lastcourse2007.ppt) National Taiwan Ocean University MSVLAB Department of Harbor and River Engineering

2 BEM trap ? Why engineers should learn mathematics ? Well-posed ? Existence ? Unique ? Mathematics versus Computation equivalent ? Some examples

3 Numerical and physical resonance incident wave radiation Physical resonance Numerical resonance

4 Numerical phenomena (Fictitious frequency) t(a,0) A story of NTU Ph.D. students

5 Numerical phenomena (Spurious eigensolution)

6 Treatments SVD updating term Burton & Miller method CHIEF method Mathematical analysis and numerical study for free vibration of plate using BEM-6