A NEW STABILIZED FINITE ELEMENT METHOD FOR SOLVING THE STOKES AND NAVIER-STOKES EQUATIONS PART II. THE NONLINEAR CASE

A NEW STABILIZED FINITE ELEMENT METHOD FOR SOLVING THE STOKES AND NAVIER-STOKES EQUATIONS PART II. THE NONLINEAR CASE

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摘要 Following Part I., we study the stabilized finite element method for the incompressible Navier-Stokes equations. It is shown that this new methodology is stable and has an optimal error estimates for all mesh-Peclet number, allowing any combination of velocity and pressure interpolation. Following Part I., we study the stabilized finite element method for the incompressible Navier-Stokes equations. It is shown that this new methodology is stable and has an optimal error estimates for all mesh-Peclet number, allowing any combination of velocity and pressure interpolation.

作者 DUAN Huoyuan (Department of Computer Science, China University of Geo-Sciences, Beijing 100083, China) LIANG Guoping (Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China)

出处《Journal of Systems Science & Complexity》 SCIE EI CSCD 2001年第4期399-412,共14页 系统科学与复杂性学报（英文版）

基金 This research is supported by the National Natural Science Foundation of China.

关键词 INCOMPRESSIBLE NAVIER-STOKES equation STABILIZED FINITE elements. Incompressible Navier-Stokes equation, stabilized finite elements.

分类号 O241.8 [理学—计算数学]

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1DUAN Huoyuan (Department of Computer Science, China University of Geo-Sciences, Beijing 100083, China) LIANG Guoping (Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China).A NEW STABILIZED FINITE ELEMENT METHOD FOR SOLVING THE STOKES AND NAVIER-STOKES EQUATIONS PART I. THE LINEAR CASE[J].Journal of Systems Science & Complexity,2001,14(3):278-292. 被引量：1

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1DUAN Huoyuan (Department of Computer Science, China University of Geo-Sciences, Beijing 100083, China) LIANG Guoping (Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China).A NEW STABILIZED FINITE ELEMENT METHOD FOR SOLVING THE STOKES AND NAVIER-STOKES EQUATIONS PART I. THE LINEAR CASE[J].Journal of Systems Science & Complexity,2001,14(3):278-292. 被引量：1
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Journal of Systems Science & Complexity

2001年第4期

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A NEW STABILIZED FINITE ELEMENT METHOD FOR SOLVING THE STOKES AND NAVIER-STOKES EQUATIONS PART II. THE NONLINEAR CASE

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