Parallel finite element splitting-up method for parabolic problems
Tai, X.-C., Neittaanmäki, P. (1991). Parallel finite element splitting-up method for parabolic problems. Numerical Methods for Partial Differential Equations, 7 (3), 209-225. doi:10.1002/num.1690070302
Julkaistu sarjassa
Numerical Methods for Partial Differential EquationsPäivämäärä
1991Pääsyrajoitukset
Tekijänoikeudet
© Wiley
An efficient method for solving parabolic systems is presented. The proposed method is based on the splitting‐up principle in which the problem is reduced to a series of independent 1D problems. This enables it to be used with parallel processors. We can solve multidimensional problems by applying only the 1D method and consequently avoid the difficulties in constructing a finite element space for multidimensional problems. The method is suitable for general domains as well as rectangular domains. Every 1D subproblem is solved by applying cubic B‐splines. Several numerical examples are presented.
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