Geodesic
On splitting schemes in the mixed finite element method
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 2, pp. 183-189

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Within the research into some geothermal modes, a 3D heat transfer process was described by the first order system of differential equations (in terms of “temperature–heat-flow”). This system was solved by an explicit scheme for the mixed finite element spatial approximations based on the Raviart–Thomas degrees of freedom. In this paper, a few algorithms based on the splitting technique for the vector heat-flow equation are proposed. Some comparison results of accuracy of the algorithms proposed are presented. 
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     author = {K. V. Voronin and Yu. M. Laevsky},
     title = {On splitting schemes in the mixed finite element method},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {183--189},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2012_15_2_a7/}
}
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K. V. Voronin; Yu. M. Laevsky. On splitting schemes in the mixed finite element method. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 2, pp. 183-189. http://geodesic.mathdoc.fr/item/SJVM_2012_15_2_a7/