摘要
Inthispaper,wepresentatheoreticalanalysisforlinearfiniteelementsuperconvergentgradientrecoveryonPar6mesh,thedualofwhichiscentroidalVoronoitessellationswiththelowestenergyperunitvolumeandisthecongruentcellpredictedbythethree-dimensionalGersho'sconjecture.Weshowthatthelinearfiniteelementsolutionu_handthelinearinterpolationu_1havesuperclosegradientonPar6meshes.Consequently,thegradientrecoveredfromthefiniteelementsolutionbyusingthesuperconvergencepatchrecoverymethodissuperconvergentto▽u.Anumericalexampleispresentedtoverifythetheoreticalresult.
出版日期
2010年02月12日（中国期刊网平台首次上网日期，不代表论文的发表时间）
