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

Zichen Deng

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

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  • 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.

  • History

Published online: 2014-05

  • AMS Subject Headings

65N30, 65N15

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