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

Ganesh, M.; Hawkins, S. C.; Hiptmair, R.

IMA J. Numer. Anal. 32, No. 4, 1348-1374 (2012).

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.

Reviewer: Svajunas Sajavicius (Vilnius)

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

Keywords:

wave propagation; acoustic scattering; T-matrix method; Helmholtz equation

Software:

rbMIT