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计算数学  2010 

NEW MIXED ELEMENT SCHEMES FOR SECOND ORDER ELLIPTIC PROBLEM
二阶椭圆问题新的混合元格式

Keywords: Second elliptic problem,New mixed variational form,Anisotropic error estimate
二阶椭圆问题
,新的混合变分格式,各向异性误差估计

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Abstract:

In this paper, based on a new mixed variational form for second order elliptic problem, we present some new solving schemes of any order which satisfy strongly elliptic condition and B-B condition. Theory analysis show that these schemes are simple and convenient. Moreover, we obtain optimal error estimates on the anisotropic meshes.

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