Geodesic
An approach to the construction of flow splitting schemes in the mixed finite element method
Matematičeskoe modelirovanie, Tome 26 (2014) no. 12, pp. 33-47

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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.
Keywords: heat transfer, heat flux, mixed finite element method, difference schemes, splitting schemes. 
@article{MM_2014_26_12_a2,
     author = {K. V. Voronin and Y. M. Laevsky},
     title = {An approach to the construction of flow splitting schemes in the mixed finite element method},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {33--47},
     publisher = {mathdoc},
     volume = {26},
     number = {12},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2014_26_12_a2/}
}
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K. V. Voronin; Y. M. Laevsky. An approach to the construction of flow splitting schemes in the mixed finite element method. Matematičeskoe modelirovanie, Tome 26 (2014) no. 12, pp. 33-47. http://geodesic.mathdoc.fr/item/MM_2014_26_12_a2/