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Workshop on Computation of Kinetic Transport and Related Problems

Monotone finite point method for non-equilibrium radiation diffusion equations


Zhongyi Huang(黄忠亿) , Tsinghua University


21 Jun, 10:40 - 11:20


In this talk, we propose the monotone tailored-finite-point method for solving the non-equilibrium radiation diffusion equations. Our method satisfies the discrete maximum principle automatically, thus preserves the properties of monotonicity and positivity. Numerical results show that our method can capture the sharp front and also can be accommodated to discontinues diffusion coefficient.