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.


Published in:
Esaim-Mathematical Modelling And Numerical Analysis-Modelisation Mathematique Et Analyse Numerique, 49, 3, 787-814
Year:
2015
Publisher:
Les Ulis Cedex A, EDP Sciences
ISSN:
0764-583X
Keywords:
Laboratories:




 Record created 2015-09-28, last modified 2018-03-17


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