Analysis of a Penalty Method

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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 I mu 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.
Publisher
SPRINGER/PLENUM PUBLISHERS
Issue Date
2012-10
Language
English
Article Type
Article
Citation

JOURNAL OF SCIENTIFIC COMPUTING, v.53, no.1, pp.3 - 34

ISSN
0885-7474
DOI
10.1007/s10915-011-9553-8
URI
http://hdl.handle.net/10203/311035
Appears in Collection
MA-Journal Papers(저널논문)
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