@Article{IJNAMB-5-299, author = {}, title = {Babuška's Penalty Method for Inhomogeneous Dirichlet Problem: Error Estimates and Multigrid Algorithms}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2014}, volume = {5}, number = {4}, pages = {299--316}, abstract = {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.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/236.html} }