Geodesic
Splitting schemes in mixed finite element method for a solution to heat transfer problem
Matematičeskoe modelirovanie, Tome 24 (2012) no. 8, pp. 109-120

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A few numerical algorithms for a solution to the non-stationary heat transfer equations in terms “temperature — heat flow vector” are discussed. In other words, non-stationary problem in the mixed formulation is considered, and spatial approximation is implemented by the Mixed Finite Element Method. For the vector equation of the mesh heat flow a few splitting schemes are analyzed. Main attention is given to the comparison of an accuracy of the proposed schemes.
Keywords: splitting scheme, mixed finite element method, heat transfer, approximation, stability. 
@article{MM_2012_24_8_a6,
     author = {K. V. Voronin and Y. M. Laevsky},
     title = {Splitting schemes in mixed finite element method for a solution to heat transfer problem},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {109--120},
     publisher = {mathdoc},
     volume = {24},
     number = {8},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2012_24_8_a6/}
}
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K. V. Voronin; Y. M. Laevsky. Splitting schemes in mixed finite element method for a solution to heat transfer problem. Matematičeskoe modelirovanie, Tome 24 (2012) no. 8, pp. 109-120. http://geodesic.mathdoc.fr/item/MM_2012_24_8_a6/