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Directly Derived Non-Hyper-Singular Boundary Integral Equations for Acoustic Problems, and Their Solution through Petrov-Galerkin Schemes

@article{Qian2004DirectlyDN,
title={Directly Derived Non-Hyper-Singular Boundary Integral Equations for Acoustic Problems, and Their Solution through Petrov-Galerkin Schemes},
author={Z. Qian and Z. D. Han and S. Atluri},
journal={Cmes-computer Modeling in Engineering & Sciences},
year={2004},
volume={5},
pages={541-562}
}

Novel non-hyper-singular (i.e., only strongly-singular) boundary-integral-equations for the gradients of the acoustic velocity potential, involv- ing only O(r −2 ) singularities at the surface of a 3-D body, are derived, for solving problems of acoustics governed by the Helmholtz differential equation. The gradients of the fundamental solution to the Helmholtz differential equation for the velocity potential, are used in this derivation. Several basic identities governing the fundamental… CONTINUE READING