The International Conference on Nonlinear and Multiscale Partial Differential Equations:Theory,Numerics and Applications was held on September 16-20,2013 at Fudan University,Shanghai.It was organized in honor of Luc T...The International Conference on Nonlinear and Multiscale Partial Differential Equations:Theory,Numerics and Applications was held on September 16-20,2013 at Fudan University,Shanghai.It was organized in honor of Luc Tartar by the Institut Sino-Francais de Mathematiques Appliquees(ISFMA,the Sino-French Institute of Applied Mathematics).展开更多
A lattice Boltzmann type pseudo-kinetic model for a non-homogeneous Helmholtz equation is derived in this paper. NumericM results for some model problems show the robustness and efficiency of this lattice Boltzmann ty...A lattice Boltzmann type pseudo-kinetic model for a non-homogeneous Helmholtz equation is derived in this paper. NumericM 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.展开更多
文摘The International Conference on Nonlinear and Multiscale Partial Differential Equations:Theory,Numerics and Applications was held on September 16-20,2013 at Fudan University,Shanghai.It was organized in honor of Luc Tartar by the Institut Sino-Francais de Mathematiques Appliquees(ISFMA,the Sino-French Institute of Applied Mathematics).
基金Project supported by the National Natural Science Foundation of China (Nos. 11171211, 11171212)the Fundamental Research Funds for the Central Universities
文摘A lattice Boltzmann type pseudo-kinetic model for a non-homogeneous Helmholtz equation is derived in this paper. NumericM 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.
