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二阶椭圆问题的混合元方法 被引量:4

MIXED FINITE ELEMENT METHODS FOR THE 2ND-ORDER ELLIPTIC PROBLEM
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摘要 New mixed finite element methods are presented for the second order ellip tic problem :-Δu = f in Ω , with u ∈ H01(Ω).These new methods are coercive, and the resulting linear systems are positively definite, with condition number O(h-2).Moreover, they allow the use of much more finite elements. New mixed finite element methods are presented for the second order ellip tic problem :-Δu = f in Ω , with u ∈ H01(Ω).These new methods are coercive, and the resulting linear systems are positively definite, with condition number O(h-2).Moreover, they allow the use of much more finite elements.
出处 《计算数学》 CSCD 北大核心 2001年第4期417-428,共12页 Mathematica Numerica Sinica
关键词 二阶椭圆问题 混合元逼近 SOBOLEV空间 范数 有限元 近似解 逼近解 mixed finite element approximation, second-order elliptic problem
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  • 1Prof. Ivo Babu?ka. Error-bounds for finite element method[J] 1971,Numerische Mathematik(4):322~333

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