Longjiun Shen

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In this paper some implicit domain decomposition procedures for solving parabolic problems are proposed. In these methods, the classic implicit scheme is used in each sub-domain, and Dirichlet boundary values at the (interior) boundaries of sub-domains are just taken as the values of the difference solution at the previous time level. These implicit domain(More)
It is well known that the lattice Boltzmann Method (LBM) has been very successful in many computational physics fields. In contrast, numerical theory in the lattice Boltzmann method has made little headway. In order to solve a 2D Burgers equation, a lattice Boltzmann scheme with a BGK model is constructed. The maximum value principle is proved and stability(More)
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