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计算数学  2008 

BUBBLE STABILIZATION AND POSTERORI ERROR ESTIMATE OF MIXED FINITE ELEMENT METHOD FOR SECOND--ORDER ELLIPTIC PROBLEMS
二阶椭圆问题的混合有限元法的泡函数稳定性及其后验误差估计

Keywords: Bubble function,Mixed element method,Posteriori error estimate,Secondorder elliptic problems
泡函数
,混合元法,后验误差估计,二阶椭圆问题

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Abstract:

In this paper,a bubble stabilization of mixed finite element (MFE) approximation for second-order elliptic problems is discussed,and the priori estimate and posteriori estimate based on a simplified stabilized formulation are derived.This simplified stabilized formulation can save more freedom degrees than usual others formulation,for example,the same degrees element of the Raviart-Thomas method.

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