Error analysis of first-order projection method for time-dependent magnetohydrodynamics equations
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- 作者：Rong An ; anrong702@gmail.com ; anrong702@aliyun.com ; Yuan Li
- 关键词：Magnetohydrodynamics equations ; Projection method ; Stability ; Rate of convergence ; Temporal errors
- 刊名：Applied Numerical Mathematics
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：112
- 期：Complete
- 页码：167-181
- 全文大小：361 K
- 卷排序：112
文摘
This paper focuses on a linearized fully discrete projection scheme for time-dependent magnetohydrodynamics equations in three-dimensional bounded domain. It is shown that the proposed projection scheme allows for a discrete energy inequality and is unconditionally stable. In addition, we present a rigorous analysis for the rates of convergence.