Acta mathematica scientia,Series B ›› 1997, Vol. 17 ›› Issue (3): 319-329.

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MIXED FINITE ELEMENTS FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS

Sun Pengtao   

  1. Institute of Mathematics, Academia Sinica, Beijing 100080, China
  • Received:1995-03-05 Revised:1996-01-02 Online:1997-09-25 Published:1997-09-25

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

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