Paper Info
Title
On the convergence of a local third order shock capturing method for hyperbolic conservation laws.
Abstract
The Piecewise Polynomial Harmonic Method (PPHM) is a local third order accurate shock capturing method for hyperbolic conservation laws. In this paper, theoretical stability properties are presented. Using these properties, the convergence of the scheme for scalar conservation laws is obtained. A direct adaptation of these results should be used to derive the convergence of the PHM (Marquina, SIAM J. Sci. Comput. 15(4), 892---915, 1994). Finally, the method is tested in several classical problems in order to explore its numerical behavior.
Year
DOI
Venue
2017
10.1007/s11075-016-0182-z
Numerical Algorithms
Keywords
Field
DocType
Nonlinear scalar conservation laws,Shock capturing methods,Stability,Convergence,65M05,65D05
Convergence (routing),Mathematical optimization,Polynomial,Mathematical analysis,Third order,Scalar (physics),Harmonic,Shock capturing method,Mathematics,Piecewise,Conservation law
Journal
Volume
Issue
ISSN
74
4
1017-1398
Citations 
PageRank 
References 
0
0.34
2
Authors
2
Name
Order
Citations
PageRank
Sergio Amat122336.61
Vicente F. Candela2154.59