Volume 5, Issue 4
Babuška's Penalty Method for Inhomogeneous Dirichlet Problem: Error Estimates and Multigrid Algorithms

Zichen Deng

DOI:

Int. J. Numer. Anal. Mod. B, 5 (2014), pp. 299-316.

Published online: 2014-05

Preview Purchase PDF 63 1709
Export citation
  • 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.

  • Keywords

Finite element multigrid penalty pre-conditioner

  • AMS Subject Headings

65N30 65N15

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@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} }
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.
Zichen Deng. (2019). Babuška's Penalty Method for Inhomogeneous Dirichlet Problem: Error Estimates and Multigrid Algorithms. International Journal of Numerical Analysis Modeling Series B. 5 (4). 299-316. doi:
Copy to clipboard
The citation has been copied to your clipboard