Abstract
A symmetric hybrid boundary element method in the frequency domain is introduced for the computation of acoustic radiation and scattering in closed and infinite domains. The Hybrid Stress Boundary Element Method (HSBEM) in a frequency domain formulation is based on the dynamical Hellinger-Reissner potential and leads to a Hermitian, frequency-dependent stiffness equation. As compared to previous results published by the authors, new considerations concerning the interpretation of singular contributions in the stiffness matrix are communicated. The field variables are separated into boundary variables, which are approximated by piecewise polynomial functions, and domain variables, which are approximated by a superposition of singular fundamental solutions. This approximation cancels the domain integral over the equation of motion in the hybrid principle and leads to a boundary integral formulation, incorporating singular integrals. This approach results in a linear system of equations with a symmetric stiffness and mass matrix.
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