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research article
Reduced Basis Techniques For Nonlinear Conservation Laws
In this paper we present a new reduced basis technique for parametrized nonlinear scalar conservation laws in presence of shocks. The essential ingredients are an efficient algorithm to approximate the shock curve, a procedure to detect the smooth components of the solution at the two sides of the shock, and a suitable interpolation strategy to reconstruct such smooth components during the online stage. The approach we propose is based on some theoretical properties of the solution to the problem. Some numerical examples prove the effectiveness of the proposed strategy.
Type
research article
Web of Science ID
WOS:000354794100008
Authors
Publication date
2015
Publisher
Volume
49
Issue
3
Start page
787
End page
814
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
September 28, 2015
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