离散化
数学
投影(关系代数)
磁流体力学
压缩性
投影法
应用数学
反向欧拉法
欧拉公式
时间离散化
有限元法
数学分析
数学优化
Dykstra投影算法
算法
物理
磁场
机械
量子力学
热力学
作者
MA Hui-min,Pengzhan Huang
标识
DOI:10.1016/j.camwa.2022.06.019
摘要
In this paper, we study a fully discrete vector penalty-projection method for the time-dependent incompressible magnetohydrodynamics flows. This fully discrete scheme is a combination of a mixed finite element approximation for spatial discretization and first-order backward Euler for temporal discretization. Moreover, unconditionally energy stable is established, and error estimates for the fully discrete scheme is also derived. Finally, some numerical experiments are provided to verify the theoretical results and illustrate the accuracy and efficiency of the proposed scheme.
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