# Non-Hyper-Singular Boundary Integral Equations for Acoustic Problems, Implemented by the Collocation-Based Boundary Element Method

@article{Qian2004NonHyperSingularBI, title={Non-Hyper-Singular Boundary Integral Equations for Acoustic Problems, Implemented by the Collocation-Based Boundary Element Method}, author={Z. Qian and Z. D. Han and P. Ufimtsev and S. Atluri}, journal={Cmes-computer Modeling in Engineering & Sciences}, year={2004}, volume={6}, pages={133-144} }

The weak-form of Helmholtz differential equation, in conjunction with vector test-functions (which are gradients of the fundamental solutions to the Helmholtz differential equation in free space) is utilized as the basis in order to directly derive non-hyper-singular boundary integral equations for the velocity potential, as well as its gradients. Thereby, the presently proposed boundary integral equations, for the gradients of the acoustic velocity potential, involve only O(r−2) singularities… CONTINUE READING

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