Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775953 | Applied Mathematics and Computation | 2017 | 13 Pages |
Abstract
A new highly efficient two-step algorithm for the stationary incompressible magnetohydrodynamic equations is studied in this paper. The algorithm uses a lower order finite element pair (i.e., P1bâP1âP1) to compute an initial approximation, that is using the Mini-element (i.e., P1bâP1) to approximate the velocity and pressure and P1 element to approximate the magnetic field, then applies a higher order finite element pair (i.e., P2âP1âP2) to solve a linear system on the same mesh. Furthermore, the convergence analyses of standard Galerkin finite element method and the two-step algorithm are addressed. Lastly, numerical experiments are presented to verify both the theory and the efficiency of the algorithm.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jilian Wu, Demin Liu, Xinlong Feng, Pengzhan Huang,