TY - JOUR
T1 - Computable Error Estimates for a Nonsymmetric Eigenvalue Problem
AU - Hehu Xie, Manting Xie, Xiaobo Yin & Meiling Yue
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 583
EP - 602
PY - 2018
DA - 2018/02
SN - 7
DO - http://doi.org/10.4208/eajam.140317.250517a
UR - https://global-sci.org/intro/article_detail/eajam/10766.html
KW - Nonsymmetric eigenvalue problem, computable error estimates, asymptotical exactness, finite element method, complementary method.
AB - <p style="text-align: justify;">We provide some computable error estimates in solving a nonsymmetric eigenvalue
problem by general conforming finite element methods on general meshes. Based
on the complementary method, we first give computable error estimates for both the
original eigenfunctions and the corresponding adjoint eigenfunctions, and then we introduce
a generalised Rayleigh quotient to deduce a computable error estimate for the
eigenvalue approximations. Some numerical examples are presented to illustrate our
theoretical results.</p>