TMATROM

Algorithm 975: TMATROM - A T-Matrix Reduced Order Model Software. The T-matrix (TMAT) of a scatterer fully describes the way the scatterer interacts with incident fields and scatters waves, and is therefore used extensively in several science and engineering applications. The T-matrix is independent of several input parameters in a wave propagation model and hence the offline computation of the T-matrix provides an efficient reduced order model (ROM) framework for performing online scattering simulations for various choices of the input parameters. The authors developed and mathematically analyzed a numerically stable formulation for computing the T-matrix (J. Comput. Appl. Math. 234 (2010), 1702--1709). The TMATROM software package provides an object-oriented implementation of the numerically stable formulation and can be used in conjunction with the user’s preferred forward solver for the two-dimensional Helmholtz model. We compare TMATROM with standard methods to compute the T-matrix for a range of two-dimensional test scatterers with large aspect ratios and acoustic sizes. Our numerical results demonstrate the robust numerical stability of the TMATROM implementation, even with scatterers for which the standard methods are numerically unstable. The efficiency and flexibility of the TMATROM software package to handle a wide range of two-dimensional scatterers with various shapes and material properties are also demonstrated.


References in zbMATH (referenced in 10 articles , 1 standard article )

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  1. Barkhan, J.; Ganesh, M.; Hawkins, S. C.: Approximation of radiating waves in the near-field: error estimates and application to a class of inverse problems (2022)
  2. Domínguez, V.; Ganesh, M.: Analysis and application of an overlapped FEM-BEM for wave propagation in unbounded and heterogeneous media (2022)
  3. Domínguez, V.; Ganesh, M.; Sayas, F. J.: An overlapping decomposition framework for wave propagation in heterogeneous and unbounded media: formulation, analysis, algorithm, and simulation (2020)
  4. Ganesh, Mahadevan; Hawkins, Stuart C.: A reduced-order-model Bayesian obstacle detection algorithm (2020)
  5. Hawkins, Stuart C.: Algorithm 1009: MieSolver -- an object-oriented Mie series software for wave scattering by cylinders (2020)
  6. Ganesh, M.; Hawkins, S. C.; Volkov, D.: An efficient algorithm for a class of stochastic forward and inverse Maxwell models in (\mathbbR^3) (2019)
  7. Gower, Artur L.; Parnell, William J.; Abrahams, I. David: Multiple waves propagate in random particulate materials (2019)
  8. Ganesh, M.; Hawkins, Stuart C.: Algorithm 975: TMATROM -- a T-matrix reduced order model software (2017)
  9. M. Ganesh; S. C. Hawkins: Algorithm 975: TMATROM - A T-Matrix Reduced Order Model Software (2017) not zbMATH
  10. Ganesh, M.; Hawkins, S. C.: An offline/online algorithm for a class of stochastic multiple obstacle scattering configurations in the half-plane (2016)