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Unified analysis for stabilized methods of low-order mixed finite elements for stationary Navier-Stokes equations

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【作者】 陈刚冯民富何银年

【Author】 Gang CHEN 1, Min-fu FENG 1, Yin-nian HE 2 (1. Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China; 2. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, P. R. China)

【机构】 Department of Mathematics, Sichuan UniversitySchool of Mathematics and Statistics, Xi’an Jiaotong University

【摘要】 A unified analysis is presented for the stabilized methods including the pressure projection method and the pressure gradient local projection method of conforming and nonconforming low-order mixed finite elements for the stationary Navier-Stokes equations.The existence and uniqueness of the solution and the optimal error estimates are proved.

【Abstract】 A unified analysis is presented for the stabilized methods including the pressure projection method and the pressure gradient local projection method of conforming and nonconforming low-order mixed finite elements for the stationary Navier-Stokes equations.The existence and uniqueness of the solution and the optimal error estimates are proved.

【基金】 supported by the National Natural Science Foundation of China(Nos.11271273 and 11271298)
  • 【文献出处】 Applied Mathematics and Mechanics(English Edition) ,应用数学和力学(英文版) , 编辑部邮箱 ,2013年08期
  • 【分类号】O241.82
  • 【被引频次】2
  • 【下载频次】43
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