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ELLIPTIC H^2-VOLTERRA PROJECTION AND THE H^1-GALERKIN METHODS FOR THE INTEGRO-DIFFERENTIAL EQUATIONS OF EVOLUTION 被引量:1

ELLIPTIC H ̄2-VOLTERRA PROJECTION AND THE H ̄1-GALERKIN METHODS FOR THE INTEGRO-DIFFERENTIAL EQUATIONS OF EVOLUTION
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摘要 This paper studies H ̄1-Galerkin methods for the integro-differential equations of evolution. The elliptic H ̄2-Volterra projection is induced and then used in thederivations of error estimates for semi-discrete and full-discrete H ̄1-Galerkin methods.The optimal L ̄2, H ̄1 and H ̄2 norm error estimates are obtained. This paper studies H ̄1-Galerkin methods for the integro-differential equations of evolution. The elliptic H ̄2-Volterra projection is induced and then used in thederivations of error estimates for semi-discrete and full-discrete H ̄1-Galerkin methods.The optimal L ̄2, H ̄1 and H ̄2 norm error estimates are obtained.
作者 SUN PENGTAO
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 1995年第1期11-24,共14页 高校应用数学学报(英文版)(B辑)
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  • 1J. R. Cannon,Y. Lin.Non-classicalH 1 projection and Galerkin methods for non-linear parabolic integro-differential equations[J]. Calcolo . 1988 (3)
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  • 7Lin Y.Galerkin methods for nonlinear parabolic integro-differential equations with nonlinear boudaryconditions. SIAM Journal on Numerical Analysis . 1990
  • 8Franco Brezzi,Jim Douglas,L. D. Marini.Two families of mixed finite elements for second order elliptic problems[J]. Numerische Mathematik . 1985 (2)

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