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EQUIVALENCY THEOREM FOR “SADDLE-POINT” FINITE ELEMENT SCHEMES AND TWO CRITERIA OF STRONG BABUSKA-BREZZI CONDITION 被引量:3

EQUIVALENCY THEOREM FOR “SADDLE-POINT” FINITE ELEMENT SCHEMES AND TWO CRITERIA OF STRONG BABUSKA-BREZZI CONDITION
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摘要 This paper is concerned with the general study in the existence,uniqueness and error estimationof finite element solutions for a larger class of 'saddle-point' schemes. The established theory inthe form of Lax-like equivalency theorem includes Brezzi’s theory that has been treated as a specialcase.Two criteria are presented so as to help the practical verification of S-Babuska condition. This paper is concerned with the general study in the existence,uniqueness and error estimationof finite element solutions for a larger class of "saddle-point" schemes. The established theory inthe form of Lax-like equivalency theorem includes Brezzi's theory that has been treated as a specialcase.Two criteria are presented so as to help the practical verification of S-Babuska condition.
作者 周天孝
出处 《Science China Mathematics》 SCIE 1981年第9期1190-1206,共17页 中国科学:数学(英文版)
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  • 1(苏)索勃列夫,С.Л.著,王柔怀等译..泛函分析在数学物理中的应用[M].北京:科学出版社,1959:238.

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