Abstract
A lattice Boltzmann type pseudo-kineticmodel for a non-homogeneous Helmholtz equation is derived in this paper. Numerical results for some model problems show the robustness and efficiency of this lattice Boltzmann type pseudo-kinetic scheme. The computation at each site is determined only by local parameters, and can be easily adapted to solve multiple scattering problems with many scatterers or wave propagation in nonhomogeneous medium without increasing the computational cost.
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Alexandre, R., Liao, J. A pseudo-kinetic approach for Helmholtz equation. Chin. Ann. Math. Ser. B 34, 319–332 (2013). https://doi.org/10.1007/s11401-013-0775-y
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DOI: https://doi.org/10.1007/s11401-013-0775-y