TY - JOUR
T1 - A Posteriori Error Estimates of a Weakly Over-Penalized Symmetric Interior Penalty Method for Elliptic Eigenvalue Problems
JO - East Asian Journal on Applied Mathematics
VL - 4
SP - 327
EP - 341
PY - 2018
DA - 2018/02
SN - 5
DO - http://doi.org/10.4208/eajam.060415.230915a
UR - https://global-sci.org/intro/article_detail/eajam/10816.html
KW - Interior penalty method, weakly over-penalization, elliptic eigenvalue problems, a posteriori error estimate.
AB - <p style="text-align: justify;">A weakly over-penalized symmetric interior penalty method is applied to
solve elliptic eigenvalue problems. We derive a posteriori error estimator of residual
type, which proves to be both reliable and efficient in the energy norm. Some numerical
tests are provided to confirm our theoretical analysis.</p>