Equivariant eta forms and equivariant differential K-theory  

作　　者：Bo Liu 

机构地区：[1]School of Mathematical Sciences,Shanghai Key Laboratory of PMMP,East China Normal University,Shanghai 200241,China

出　　处：《Science China Mathematics》2021年第10期2159-2206,共48页中国科学：数学（英文版）

基　　金：Science and Technology Commission of Shanghai Municipality(STCSM)(Grant No.18dz2271000);Natural Science Foundation of Shanghai(Grant No.20ZR1416700);National Natural Science Foundation of China(Grant No.11931007)。

摘　　要：In this paper,we propose a new numerical scheme for the coupled Stokes-Darcy model with the Beavers-Joseph-Saffman interface condition.We use the weak Galerkin method to discretize the Stokes equation and the mixed finite element method to discretize the Darcy equation.A discrete inf-sup condition is proved and the optimal error estimates are also derived.Numerical experiments validate the theoretical analysis.

关 键 词：equivariant eta form equivariant differential K-theory equivariant spectral section equivariant higher spectral flow ORBIFOLD 

分 类 号：O177[理学—数学]