OPTIMAL AND SUPERCONVERGENCE ESTIMATES OF THE FIMITE ELEMENT METHOD FOR A SCALAR HYPERBOLIC EQUATION

数学物理学报(英文版) ›› 1994, Vol. 14 ›› Issue (1): 90-94.

OPTIMAL AND SUPERCONVERGENCE ESTIMATES OF THE FIMITE ELEMENT METHOD FOR A SCALAR HYPERBOLIC EQUATION

周爱辉, 林群

Inst. of Sys. Sci., Chinese Academy of Sciences, Baijing 10080, China

收稿日期:1991-11-18 出版日期:1994-03-25 发布日期:1994-03-25

OPTIMAL AND SUPERCONVERGENCE ESTIMATES OF THE FIMITE ELEMENT METHOD FOR A SCALAR HYPERBOLIC EQUATION

Zhou Aihui, Lin Qun

Inst. of Sys. Sci., Chinese Academy of Sciences, Baijing 10080, China

Received:1991-11-18 Online:1994-03-25 Published:1994-03-25

摘要/Abstract

摘要： In this paper an open problem for an optimal finite element error of a scalar hyperbolic equation is solved by using an elaborate analysis of the error expansion of linear finite elements. Addtionally, a superconvergenca approximation scheme for gradient is provided.

周爱辉, 林群. OPTIMAL AND SUPERCONVERGENCE ESTIMATES OF THE FIMITE ELEMENT METHOD FOR A SCALAR HYPERBOLIC EQUATION[J]. 数学物理学报(英文版), 1994, 14(1): 90-94.

Zhou Aihui, Lin Qun. OPTIMAL AND SUPERCONVERGENCE ESTIMATES OF THE FIMITE ELEMENT METHOD FOR A SCALAR HYPERBOLIC EQUATION[J]. Acta mathematica scientia,Series B, 1994, 14(1): 90-94.

OPTIMAL AND SUPERCONVERGENCE ESTIMATES OF THE FIMITE ELEMENT METHOD FOR A SCALAR HYPERBOLIC EQUATION

OPTIMAL AND SUPERCONVERGENCE ESTIMATES OF THE FIMITE ELEMENT METHOD FOR A SCALAR HYPERBOLIC EQUATION

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