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Boundary integral equations for thin bodies
Author(s) -
Krishnasamy Guna,
Rizzo Frank J.,
Liu Yijun
Publication year - 1994
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620370108
Subject(s) - discretization , mathematics , degenerate energy levels , integral equation , mathematical analysis , boundary (topology) , singular integral , scattering , boundary value problem , physics , optics , quantum mechanics
A boundary integral equation formulation for thin bodies which uses CBIE (conventional BIE) only is well known to be degenerate. A mixed formulation for a thin rigid scatterer which combines CBIE and HBIE (hypersingular BIE) is motivated by examining the discretized form of the integral equations, and this formulation is shown to be non‐degenerate for thin non‐rigid inclusion problems. A near‐singular integration procedure, useful for singular integrals as well, is presented. Finally, numerical examples for acoustic wave scattering from rigid and soft scatterers are presented.