Acta mathematica scientia,Series B ›› 1994, Vol. 14 ›› Issue (1): 90-94.

• Articles • Previous Articles     Next Articles

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

Zhou Aihui, Lin Qun   

  1. Inst. of Sys. Sci., Chinese Academy of Sciences, Baijing 10080, China
  • Received:1991-11-18 Online:1994-03-25 Published:1994-03-25

Abstract: 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.

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