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Volume 5, Issue 4
A Local Computational Scheme for Higher Order Finite Element Eigenvalue Approximations

Xiaoying Dai, Lihua Shen & Aihui Zhou

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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@Article{IJNAM-5-570, author = {Dai , XiaoyingShen , Lihua and Zhou , Aihui}, title = {A Local Computational Scheme for Higher Order Finite Element Eigenvalue Approximations}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2008}, volume = {5}, number = {4}, pages = {570--589}, 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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/827.html} }
TY - JOUR T1 - A Local Computational Scheme for Higher Order Finite Element Eigenvalue Approximations AU - Dai , Xiaoying AU - Shen , Lihua AU - Zhou , Aihui JO - International Journal of Numerical Analysis and Modeling VL - 4 SP - 570 EP - 589 PY - 2008 DA - 2008/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/827.html KW - eigenvalue, finite element, higher order, local computation. AB -

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.

Dai , XiaoyingShen , Lihua and Zhou , Aihui. (2008). A Local Computational Scheme for Higher Order Finite Element Eigenvalue Approximations. International Journal of Numerical Analysis and Modeling. 5 (4). 570-589. doi:
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