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SUMMARY:Galerkin boundary integral formulation for the 3D Helmholtz equati
 on
DTSTART:20110829T110000
DTSTAMP:20260509T225714Z
UID:0f9ece9dc6fe284af002aed77524d0fc515834fe82779fb32157ba42
CATEGORIES:Conferences - Seminars
DESCRIPTION:L. J. Gray\, Bergen Software Services International\, Norway\n
 A Galerkin boundary integral analysis for the three-dimensional Helmholtz 
 equation will be presented. The target application involves acoustic scatt
 ering by an open (crack) surface  and thus both the standard (singular) an
 d normal derivative (hypersingular) boundary integral equations are consid
 ered. The key task is the evaluation of the Galerkin singular integrals  a
 nd the boundary limit technique has been employed. The advantages of this 
 direct approach are that the procedures are the same for all kernel functi
 ons (the Green's function and its first or second order derivatives)  and 
 as a reformulation of the integrals is not needed  the methods are general
 ly applicable. Moreover  in the limit analysis  the divergent terms in the
  hypersingular integrals are explicitly identified  leading to the numeric
 al evaluation of finite integrals. The analytic integrations\nthat are req
 uired for the limit evaluation are carried out by employing a Taylor serie
 s expansion for the exponential factor in the Helmholtz fundamental soluti
 ons. All of the calculus work can be automated using symbolic manipulation
  codes.
LOCATION:CO 016 https://plan.epfl.ch/?room==CO%20016
STATUS:CONFIRMED
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