TY - JOUR
T1 - Babuška's Penalty Method for Inhomogeneous Dirichlet Problem: Error Estimates and Multigrid Algorithms
JO - International Journal of Numerical Analysis Modeling Series B
VL - 4
SP - 299
EP - 316
PY - 2014
DA - 2014/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnamb/236.html
KW - Finite element
KW - multigrid
KW - penalty
KW - pre-conditioner
AB - This article is two fold. Firstly, we derive optimal order a priori error estimates
for Babuška's penalty method applied to inhomogeneous Dirichlet problem. Secondly, we derive
convergence of W-cycle and V-cycle multigrid algorithms for the resulting system. To this end, a
simple pre-conditioner is introduced to remedy the ill-condition due to over-penalty.