TY - JOUR
T1 - A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 3
SP - 383
EP - 405
PY - 2015
DA - 2015/08
SN - 8
DO - http://doi.org/10.4208/nmtma.2015.m1334
UR - https://global-sci.org/intro/article_detail/nmtma/12415.html
KW - 
AB - <p style="text-align: justify;">In this paper, a multilevel correction scheme is proposed to solve the Steklov eigenvalue problem by nonconforming finite element methods. With this new scheme, the accuracy of eigenpair approximations can be improved after each correction step which only needs to solve a source problem on finer finite element space and an Steklov eigenvalue problem on the coarsest finite element space. This correction scheme can increase the overall efficiency of solving eigenvalue problems by the nonconforming finite element method. Furthermore, as same as the direct eigenvalue solving by nonconforming finite element methods, this multilevel correction method can also produce the lower-bound approximations of the eigenvalues.</p>