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 - <p style="text-align: justify;">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.</p>