A modified characteristics projection finite element method for unsteady incompressible Magnetohydrodynamics equations

AIMS Mathematics

Zhiyong Si¹  Shujie Jing¹  Jixiang Guan¹ 

[1] School of Mathematics and Information Science, Henan Polytechnic University, 454003, Jiaozuo, P. R. China;

关键词: unsteady incompressible mhd equations;    finite element method;    projection method;    error estimates;    modified characteristics projection method;   

DOI  :  10.3934/math.2020254

来源: DOAJ

【 摘 要 】

This paper provides a modified characteristics projection finite element method for the unsteady incompressible magnetohydrodynamics(MHD) equations. In this method, modified characteristics finite element method and the projection method will be combined for solving the unsteady incompressible MHD equations. Both the stability and the optimal error estimates both in L² and H¹ norms for the modified characteristics projection finite element method will be shown. In order to demonstrate the effectiveness of our method, we will present some numerical results at the end.

【 授权许可】

Unknown