Abstract:
In this paper, we investigate the stability of some splitting schemes approximating the equations for a heat flux, obtained by a mixed finite element method. For the two-dimensional problem, the splitting scheme is based on the alternating direction method, and for the three-dimensional problem the splitting scheme is based on the Douglas–Gunn scheme.
Citation:
K. V. Voronin, Yu. M. Laevsky, “On the stability of some flux splitting schemes”, Sib. Zh. Vychisl. Mat., 18:2 (2015), 135–145; Num. Anal. Appl., 8:2 (2015), 113–121
This publication is cited in the following 6 articles:
K. V. Voronin, Yu. M. Laevsky, “The flux predictor-corrector scheme for solving a 3D heat transfer problem”, Num. Anal. Appl., 10:4 (2017), 287–298
A. Arduino, O. Bottauscio, M. Chiampi, L. Zilberti, “Douglas–Gunn method applied to dosimetric assessment in magnetic resonance imaging”, IEEE Trans. Magn., 53:6 (2017), 5000204
K. Voronin, Yu. Laevsky, “A new approach to constructing vector splitting schemes in mixed finite element method for parabolic problems”, J. Numer. Math., 25:1 (2017), 17–34
K. V. Voronin, Yu. M. Laevsky, “A Flux Predictor–Corrector Scheme for Solving a 3D Heat Transfer Problem”, Numer. Analys. Appl., 10:4 (2017), 287
A. Arduino, O. Bottauscio, M. Chiampi, L. Zilberti, “Douglas–Gunn method applied to dosimetric assessment in magnetic resonance imaging”, 2016 IEEE Conference on Electromagnetic Field Computation (CEFC), IEEE, 2016
Alessandro Arduino, Oriano Bottauscio, Mario Chiampi, Luca Zilberti, 2016 IEEE Conference on Electromagnetic Field Computation (CEFC), 2016, 1