An approach to the construction of flow splitting schemes in the mixed finite element method

It is proposed a method for constructing efficient difference schemes approximating the equation of heat flow, for the problem of heat transfer in terms of "temperature – the heat flux vector". The proposed approach is based on the use of stable splitting schemes for mesh flux divergence. The approach is illustrated by several two-and three-dimensional examples. The orders of approximations of the proposed schemes are studied. The results of numerical experiments are presented.