Boundary integral formulations for acoustic modelling of high-contrast media

The boundary element method is an efficient algorithm for simulating acoustic propagation through homogeneous objects embedded in free space. conditioning of the system matrix strongly depends on physical parameters such as density, wavespeed and frequency. In particular, high contrast density across a material interface leads to ill-conditioned discretisation matrix. Therefore, convergence Krylov methods solve linear slow. Here, specialised integral formulations are designed case scattering at high-contrast media. eigenvalues resulting accumulate two points complex plane that depend ratio stay away from zero. spectral analysis Calderón preconditioned PMCHWT formulation yields single accumulation point. Benchmark simulations demonstrate computational efficiency Neumann