Volume 5, Issue 4
A Local Computational Scheme for Higher Order Finite Element Value Approximation

T. Vdovina & S. Minkoff

DOI:

Int. J. Numer. Anal. Mod., 5 (2008), pp. 570-589

Published online: 2008-05

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  • Abstract

Based on some coupled discretizations, a local computational scheme is proposed and analyzed in this paper for a class of higher order finite element eigenvalue approximations. Its efficiency is proven by theoretical and numerical evidences. It is shown that the solution of an eigenvalue problem in a higher order finite element space may be reduced to the solution of an eigenvalue problem in a lower order finite element space, and the solutions of some linear algebraic systems in the higher order finite element space by some local and parallel procedure.

  • Keywords

eigenvalue finite element higher order local computation

  • AMS Subject Headings

65N15 65N25 65N30 65N50.

  • Copyright

COPYRIGHT: © Global Science Press

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