UNCONDITIONAL CONVERGENCE AND ERROR ESTIMATES OF A FULLY DISCRETE FINITE ELEMENT METHOD FOR THE MICROPOLAR NAVIER-STOKES EQUATIONS
作者机构:NCMISLSECInstitute of Computational Mathematics and Scientific/Enginnering ComputingAcademy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190China School of Mathematical SciencesUniversity of Chinese Academy of SciencesBeijing 100049China
出 版 物:《Journal of Computational Mathematics》 (计算数学(英文))
年 卷 期:2024年第42卷第1期
页 面:71-110页
核心收录:
学科分类:07[理学] 070102[理学-计算数学] 0701[理学-数学]
基 金:supported by the National Natural Science Foundation of China(Grant Nos.11871467 11471329)
主 题:Micropolar fluids Regularity estimates Euler semi-implicit scheme Mixed finite element methods Unconditional convergence
摘 要:In this paper,we consider the initial-boundary value problem(IBVP)for the micropolar Naviers-Stokes equations(MNSE)and analyze a first order fully discrete mixed finite element *** first establish some regularity results for the solution of MNSE,which seem to be not available in the ***,we study a semi-implicit time-discrete scheme for the MNSE and prove L2-H1 error estimates for the time discrete ***,certain regularity results for the time discrete solution are establishes *** on these regularity results,we prove the unconditional L2-H1 error estimates for the finite element solution of ***,some numerical examples are carried out to demonstrate both accuracy and efficiency of the fully discrete finite element scheme.