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}
}
  • Z. Qian, Z. D. Han, S. Atluri
  • Published 2004
  • Mathematics
  • Cmes-computer Modeling in Engineering & Sciences
  • 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
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    References

    SHOWING 1-10 OF 36 REFERENCES
    An effective method for solving the hyper‐singular integral equations in 3‐D acoustics
    • 134
    Solving the hypersingular boundary integral equation in three-dimensional acoustics using a regularization relationship.
    • 41
    • PDF
    Improved Integral Formulation for Acoustic Radiation Problems
    • 948
    Integration of singular integrals for the Galerkin-type boundary element method in 3D elasticity
    • 22
    Hypersingular boundary integral equations for exterior acoustic problems
    • 48