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A New Family of 3D Boundary Elements
Hypersingular Boundary Element Formulations
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acoustic potential acoustic problems amplitude analytical solution applied approach boundary conditions Boundary element mesh boundary element methods boundary integral equation boundary value problem Burton and Miller's Cauchy principal value CBIE collocation points computational corresponding density carrying surface density function Dirichlet problem discontinuous elements discretization displacement double layer density double layer potential eigenfrequencies elastodynamics elastostatic evaluated exterior domain farfield fi(e Fracture Mechanics Fredholm's frequencies fundamental solution Gaussian quadrature given Green's formula hypersingular integral integral formulation integral operator interior interpolation functions kernel limit linear Lyapunov exponent Lyapunov surface mathematical nodal points nodes normal derivative numerical results Panich's formulation polar coordinates polar coordinates system presented quadrilateral quadrilateral elements radiation scattering single and double single layer potential singular integral smoothness conditions smoothness requirement source point sphere surface tractions symmetry Topics in Engineering triangular and quadrilateral triangular elements unique solution uniqueness of solution velocity velocity potential wave number weakly singular zero