MIXED FINITE ELEMENTS FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS

数学物理学报(英文版) ›› 1997, Vol. 17 ›› Issue (3): 319-329.

MIXED FINITE ELEMENTS FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS

孙澎涛

Institute of Mathematics, Academia Sinica, Beijing 100080, China

收稿日期:1995-03-05 修回日期:1996-01-02 出版日期:1997-09-25 发布日期:1997-09-25

MIXED FINITE ELEMENTS FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS

Sun Pengtao

Institute of Mathematics, Academia Sinica, Beijing 100080, China

Received:1995-03-05 Revised:1996-01-02 Online:1997-09-25 Published:1997-09-25

摘要/Abstract

摘要： In this paper, we study mixed finite elements for parabolic integro-differential equations, and introduce a kind of nonclassical mixed projection, its optimal L² and h^-s estimates are obtained. We define semi-discrete and full-discrete mixed finite elements for the equations, and obtain the optimal L² error estimates.

关键词: Integro-differential Equations, Mixed Finite Element, Error Estimates

Abstract: In this paper, we study mixed finite elements for parabolic integro-differential equations, and introduce a kind of nonclassical mixed projection, its optimal L² and h^-s estimates are obtained. We define semi-discrete and full-discrete mixed finite elements for the equations, and obtain the optimal L² error estimates.

Key words: Integro-differential Equations, Mixed Finite Element, Error Estimates

孙澎涛. MIXED FINITE ELEMENTS FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS[J]. 数学物理学报(英文版), 1997, 17(3): 319-329.

Sun Pengtao. MIXED FINITE ELEMENTS FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS[J]. Acta mathematica scientia,Series B, 1997, 17(3): 319-329.

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MIXED FINITE ELEMENTS FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS

MIXED FINITE ELEMENTS FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS

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