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INVESTIGATION OF THE ITERATION CONVERGENCE RATE OF THE VDEPF METHOD USED FOR JOINTLY SOLVING THE ENERGY AND RADIATION TRANSPORT EQUATIONS

A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2016. Вып.2. С. 3-16.

The application of implicit schemes for the mathematical modeling of the thermal radiation transport requires studying the convergence problem of the iterative process of solving a system of photon and energy transport equations. The paper considered some modifications to the method of identifying a diagonal element in the corrector form for iteratively solving a nonlinear system consisting of the photon transport equation and energy transport equation. The iteration convergence rate is theoretically investigated.

Keywords: radiation transport, iteration convergence rate.








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