On Error Estimates of the Penalty Method for the Unsteady Conduction-Convection Problem I: Time Discretization
Year: 2012
International Journal of Numerical Analysis and Modeling, Vol. 9 (2012), Iss. 4 : pp. 876–891
Abstract
In this paper, the penalty method is proposed and discussed for the unsteady conduction-convection problem in two dimensions. In addition, we analyze its time discretization which is based on the backward Euler implicit scheme. Finally, the main results of this paper that optimal error estimates are obtained for the penalty system and the time discretization under reasonable assumptions on the physical data.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2012-IJNAM-663
International Journal of Numerical Analysis and Modeling, Vol. 9 (2012), Iss. 4 : pp. 876–891
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Unsteady conduction-convection problem Penalty method Time discretization Optimal error estimates.