1. Table A Present research topics (2009-2012) and successful
experiences using null-field BIEs ( )
Previous research and project
Present project
Navier Equation
Laplace Equation
Helmholtz Equation
Biharmonic Equation
BiHelmholtz Equation
Potential flow
NUMPDE 2008
Torsion
CMES 2006
Anti-plane shear
EABE 2006
Degenerate scale
MRC 2007
Interior and exterior
Acoustics
Plate with circular holes
ASME JAM 蕭嘉俊
Free vibration of plate
Real-part BIEM
EABE 李為民
Elasticity & Crack Problem
APCOM 2007
Exterior acoustics
CMAME 2007
Inclusions
JCA 2008
Stokes flow
IJNME 蕭嘉俊
Free vibration of plate
Indirect BIEM
JSV 李為民
Trefftz method for elasticity
EABE 李應德
Green’s function for
an annular plate
SH wave
Impinging canyons
SDEE 2008
Free vibration of plate Direct BIEM
Comp. Mech 李為民
Inclusion
EABE 2006
Piezoleectricity
ASME 2007
Beam bending
JoM 陳柏源
Image method
(Green’s function)
Image method
(Green’s function)
Degenerate kernel
for ellipse and concentric annulus
Water wave impinging circular cylinders
CFD 14 李應德
Elliptical boundary
Flexural wave of plate
with one and two holes
CSSV 李為民
Annular Green’s function
(Trefftz method and MFS)
Green’s function of circular inclusion (special case: statics)
Torsion bar (Inclusion)
ICOME 李應德
3-D Applications
Eigenproblem of concentric sphere
Two spheres radiation
Flexural wave of plate
with two inclusions
李為民
Green’s function of`circular
boundary (statics: superposition)
Eccentric case
Green’s function
(Hole and inclusion)
A half plane with a hole
An infinite plane with two holes
Dynamic Green’s
function for an infinite
plate with a hole
Bipolar coordinates
Screw dislocation
(addition theorem)
Scattering by a point and
axisymmetric sources (two cylinders)
Image method
(Green’s function)
Elliptical boundary
Elliptical boundary
Elliptical boundary
Modified Helmholtz Equation
URL: 海洋大學工學院河工所力學聲響振動實驗室 nullsystem ppt