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Convergence analysis with parameter estimates for a reduced basis acoustic scattering T-matrix method. (English) Zbl 1275.65074

The main aim of the paper is to establish a robust convergence analysis and to provide practical a priori parameter estimates for a reduced basis acoustic scattering T-matrix method. The time-harmonic acoustic scattering in two and three dimensions is considered. The convergence analysis and the a priori parameter estimates for point-source and plane-wave incident waves also are demonstrated numerically. The proposed approach can be used with any numerical method for solving the forward wave propagation problems.

MSC:

65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
76Q05 Hydro- and aero-acoustics
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
76M22 Spectral methods applied to problems in fluid mechanics

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