TY - JOUR
T1 - Local and Parallel Finite Element Algorithm Based on Multilevel Discretization for Eigenvalue Problems
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 73
EP - 89
PY - 2016
DA - 2016/01
SN - 13
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/427.html
KW - eigenvalue problem, multigrid, multilevel correction, local and parallel method, finite element method.
AB - <p style="text-align: justify;">In this paper, a local and parallel algorithm based on the multilevel discretization is
proposed for solving the eigenvalue problem by the finite element method. With this new scheme,
the eigenvalue problem solving in the finest grid is transferred to solutions of the eigenvalue
problems on the coarsest mesh and a series of solutions of boundary value problems on each level
mesh. Therefore this type of multilevel local and parallel method improves the overall efficiency
of solving the eigenvalue problem. Some numerical experiments are presented to validate the
efficiency of the new method.</p>