TY  - JOUR
AB  - Purpose The purpose of this paper is to propose a local parallel finite element algorithm based on fully overlapping domain decomposition technique to solve the incompressible magnetohydrodynamic equations.Design/methodology/approach The algorithm uses a lower-order element pair to compute an initial approximation by the Oseen-type iteration and uses a higher-order element pair to solve a linear system in each processor.Findings Besides, the convergence analysis of local parallel finite element algorithm is given. Finally, numerical experiments are presented to verify the efficiency of the proposed algorithm.Originality/value Compared with the numerical solution of the common two-step method, this method is easy to realize and can produce a more accurate solution. And, this approach is executed in parallel, so it saves a lot of computational time.
VL  - 29
IS  - 8
SN  - 0961-5539
DO  - 10.1108/HFF-10-2018-0552
UR  - https://doi.org/10.1108/HFF-10-2018-0552
AU  - Ping Yuan
AU  - Su Haiyan
AU  - Feng Xinlong
PY  - 2019
Y1  - 2019/01/01
TI  - Parallel two-step finite element algorithm for the stationary incompressible magnetohydrodynamic equations
T2  - International Journal of Numerical Methods for Heat & Fluid Flow
PB  - Emerald Publishing Limited
SP  - 2709
EP  - 2727
Y2  - 2024/09/21
ER  -