典型文献
PENALTY-FACTOR-FREE STABILIZED NONCONFORMING FINITE ELEMENTS FOR SOLVING STATIONARY NAVIER-STOKES EQUATIONS
文献摘要：
Two nonconforming penalty methods for the two-dimensional stationary Navier-Stokes equations are studied in this paper.These methods are based on the weakly continuous Pi vector fields and the locally divergence-free(LDF)finite elements,which respectively penalize local divergence and are discontinuous across edges.These methods have no penalty factors and avoid solving the saddle-point problems.The existence and uniqueness of the velocity solution are proved,and the optimal error estimates of the energy norms and L2-norms are obtained.Moreover,we propose unified pressure recovery algorithms and prove the optimal error estimates of L2-norm for pressure.We design a unified iterative method for numerical experiments to verify the correctness of the theoretical analysis.
文献关键词：
中图分类号：
作者姓名：
Linshuang He;Minfu Feng;Qiang Ma
作者机构：
School of Mathematics,Sichuan University,Chengdu 610064,China
文献出处：
引用格式：
[1]Linshuang He;Minfu Feng;Qiang Ma-.PENALTY-FACTOR-FREE STABILIZED NONCONFORMING FINITE ELEMENTS FOR SOLVING STATIONARY NAVIER-STOKES EQUATIONS)[J].计算数学（英文版）,2022(05):728-755
A类：
PENALTY,STABILIZED,NONCONFORMING,FINITE,ELEMENTS,SOLVING,STATIONARY,EQUATIONS,nonconforming,penalize
B类：
FACTOR,FREE,NAVIER,STOKES,Two,penalty,methods,two,dimensional,stationary,Navier,Stokes,equations,are,studied,this,paper,These,weakly,Pi,vector,fields,locally,divergence,free,LDF,finite,elements,which,respectively,discontinuous,across,edges,have,factors,avoid,solving,saddle,point,problems,existence,uniqueness,velocity,solution,proved,optimal,error,estimates,energy,norms,L2,obtained,Moreover,propose,unified,pressure,recovery,algorithms,We,design,iterative,numerical,experiments,verify,correctness,theoretical,analysis
AB值：
0.550893
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