THE TWO-LEVEL STABILIZED FINITE ELEMENT METHOD BASED ON MULTISCALE ENRICHMENT FOR THE STOKES EIGENVALUE PROBLEM

作     者：Juan WEN Pengzhan HUANG Ya-Ling HE 文娟;黄鹏展;何雅玲

作者机构：Key Laboratory of Thermo-Fluid Science and Engineering of Ministry of EducationSchool of Energy and Power EngineeringXi'an Jiaotong UniversityXi'an 710049China School of SciencesXi'an University of TechnologyXi'an 710048China College of Mathematics and System SciencesXinjiang UniversityUrumqi 830046China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2021年第41卷第2期

页      面：381-396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 Key R&D Program of China(2018YFB1501001) the NSF of China(11771348) China Postdoctoral Science Foundation(2019M653579) 

主　　题：Two-level multiscale finite element method P_(1)/P_(1)elements the Stokes eigenvalue problem 

摘      要：In this paper,we first propose a new stabilized finite element method for the Stokes eigenvalue *** new method is based on multiscale enrichment,and is derived from the Stokes eigenvalue problem *** convergence of this new stabilized method is proved and the optimal priori error estimates for the eigenfunctions and eigenvalues are also ***,we combine this new stabilized finite element method with the two-level method to give a new two-level stabilized finite element method for the Stokes eigenvalue ***,we have proved a priori error estimates for this new two-level stabilized ***,numerical examples confirm our theoretical analysis and validate the high effectiveness of the new methods.