典型文献
A CONFORMING QUADRATIC POLYGONAL ELEMENT AND ITS APPLICATION TO STOKES EQUATIONS
文献摘要：
In this paper,we construct an H1-conforming quadratic finite element on convex polyg-onal meshes using the generalized barycentric coordinates.The element has optimal ap-proximation rates.Using this quadratic element,two stable discretizations for the Stokes equations are developed,which can be viewed as the extensions of the P2-P0 and the Q2-(discontinuous)Pi elements,respectively,to polygonal meshes.Numerical results are presented,which support our theoretical claims.
文献关键词：
中图分类号：
作者姓名：
Xinjiang Chen;Yanqiu Wang
作者机构：
Jiangsu Key Laboratory for NSLSCS,School of Mathematical Sciences,Nanjing Normal University,Nanjing 210023,China
文献出处：
引用格式：
[1]Xinjiang Chen;Yanqiu Wang-.A CONFORMING QUADRATIC POLYGONAL ELEMENT AND ITS APPLICATION TO STOKES EQUATIONS)[J].计算数学（英文版）,2022(04):624-648
A类：
CONFORMING,QUADRATIC,POLYGONAL,ELEMENT,APPLICATION,EQUATIONS,polyg,barycentric
B类：
AND,ITS,STOKES,In,this,paper,construct,H1,conforming,quadratic,finite,convex,meshes,using,generalized,coordinates,has,optimal,proximation,rates,Using,two,stable,discretizations,Stokes,equations,are,developed,which,can,be,viewed,extensions,P2,P0,Q2,discontinuous,Pi,elements,respectively,polygonal,Numerical,results,presented,support,our,theoretical,claims
AB值：
0.587959
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