FINITE ELEMENT ERROR EXPANSIONS FOR THE EIGENVALUE APPROXIMATION TO THE MULTIGROUP DIFFUSION EQUATIONS

Ding Yanheng;Lin Qun

系统科学与复杂性(英文) ›› 1991, Vol. 4 ›› Issue (3) : 225-235.

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系统科学与复杂性(英文) ›› 1991, Vol. 4 ›› Issue (3) : 225-235.
论文

FINITE ELEMENT ERROR EXPANSIONS FOR THE EIGENVALUE APPROXIMATION TO THE MULTIGROUP DIFFUSION EQUATIONS

    Ding Yanheng(1);Lin Qun (2)
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FINITE ELEMENT ERROR EXPANSIONS FOR THE EIGENVALUE APPROXIMATION TO THE MULTIGROUP DIFFUSION EQUATIONS

    Ding Yanheng(1);Lin Qun (2)
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摘要

Asymptotic expansions for the finite element approximation to the eigenvalues of the mult-igroup diffusion equations on Ω(?)R~n(n=2,3)of reactor theory are given, firstly for a piecewise uniform triangulation, then for nonuniform quadrilateral meshes, and finally for nonuniform hexahedral meshes. The effect of certain classes of numerical integrations is studied. As applications of the expansions, several extrapolation formulas and a posteriori error estimates are obtained.

Abstract

Asymptotic expansions for the finite element approximation to the eigenvalues of the mult-igroup diffusion equations on Ω(?)R~n(n=2,3)of reactor theory are given, firstly for a piecewise uniform triangulation, then for nonuniform quadrilateral meshes, and finally for nonuniform hexahedral meshes. The effect of certain classes of numerical integrations is studied. As applications of the expansions, several extrapolation formulas and a posteriori error estimates are obtained.

关键词

multigroup diffusion equations / finite el

Key words

multigroup diffusion equations / finite element / quadrature / error expansion / quadrilateral / hexahedron / ex

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Ding Yanheng , Lin Qun . FINITE ELEMENT ERROR EXPANSIONS FOR THE EIGENVALUE APPROXIMATION TO THE MULTIGROUP DIFFUSION EQUATIONS. 系统科学与复杂性(英文), 1991, 4(3): 225-235
Ding Yanheng , Lin Qun . FINITE ELEMENT ERROR EXPANSIONS FOR THE EIGENVALUE APPROXIMATION TO THE MULTIGROUP DIFFUSION EQUATIONS. Journal of Systems Science and Complexity, 1991, 4(3): 225-235
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