Analysis of a Penalty Method

Authors:
Qingshan Chen;Youngjoon Hong;Roger Temam
Affiliations:
Department of Scientific Computing, Florida State University, Tallahassee, USA 32306;Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, USA 47405;Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, USA 47405
Venue:
Journal of Scientific Computing
Year:
2012

Citing 3
Cited 0

Spectral penalty methods

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The Barotropic Mode for the Primitive Equations

Journal of Scientific Computing

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Abstract

In this article we study the simplest one-dimensional transport equation u t +au x =f and study the implementation of the boundary condition using a penalty method combined with a P1 finite element discretization. We discuss the convergence of the method when both the penalty parameter 驴 and the mesh size h go to zero, in sequence or simultaneously. Some numerical simulations are reported also showing the efficiency of the method. Numerical simulations are also made for the similar problem in space dimension 2.