A boundary element eigensolver for acoustic resonances in cavities with impedance boundary conditions.

This letter presents a boundary element scheme for analysis of acoustic resonances in cavities with impedance boundary conditions. The resultant eigenproblem, which is nonlinear and difficult to solve directly, is transformed to a linear one through a contour integral method. A variant-parameter scheme based on the Burton-Miller combined formulation is given to identify spurious eigenfrequencies, which are complex and similar to true eigenfrequencies. A numerical example is used to show the accuracy and effectiveness of the proposed method.