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Comparison of Three Boundary Element Approaches for the Solution
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acoustic airfoil analysis analytical applied approximation Beskos boundary conditions boundary element method boundary integral equation Brebbia Brebbia C.A. calculated cavity coefficients computational constant convection convergence coordinates cylindrical defined denote density differential equations dimensional discretization displacement domain integral dynamic elastic Engineering field Figure finite difference finite element flow problem fluid flux formulation free surface frequency fundamental solution geometry Green's function half-plane half-space heat equation Helmholtz equation homogeneous interface iteration Laplace Laplace equation Laplace transform Lemma linear mathematical matrix membrane mesh neutron nodes nonlinear Numerical Methods numerical solution obtained operator panel methods perturbation plane plate potential flow pressure procedure radiation resistor respectively Reynolds number singular sloshing ſº Sobolev spaces solved space Springer-Verlag stream function symmetry technique temperature Theorem three-dimensional tion transform transient Transonic value problems variable vector velocity potential vibration vorticity wave Wendland