ON WAVEWISE ENTROPY INEQUALITIES FOR HIGH-RESOLUTION SCHEMES WITH SOURCE TERMS I: THE SEMI-DISCRETE CASE
YANG, HUANAN ; JIANG, NAN
Methods Appl. Anal., Tome 10 (2003) no. 3, p. 487-512 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We extend the framework and the convergence criteria of wavewise entropy inequalities of [H. Yang, Math. Comp., (1996), pp. 45-67] to a large class of semi-discrete high resolution schemes for hyperbolic conservation laws with source terms. This approach is based on an extended theory of Yang [22] on wave tracking and wave analysis and the theory of Vol'pert [21] on BV solutions. For the Cauchy problem of convex conservation laws with source terms, we use one of the criteria to prove the convergence to the entropy solution of generalized MUSCL schemes and a class of schemes using flux limiters previously discussed in 1984 by Sweby.
Publié le : 2003-12-14
Classification:  
@article{1093024260,
     author = {YANG, HUANAN and JIANG, NAN},
     title = {ON WAVEWISE ENTROPY INEQUALITIES FOR
HIGH-RESOLUTION SCHEMES WITH SOURCE TERMS I:
THE SEMI-DISCRETE CASE},
     journal = {Methods Appl. Anal.},
     volume = {10},
     number = {3},
     year = {2003},
     pages = { 487-512},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1093024260}
}

YANG, HUANAN; JIANG, NAN. ON WAVEWISE ENTROPY INEQUALITIES FOR
HIGH-RESOLUTION SCHEMES WITH SOURCE TERMS I:
THE SEMI-DISCRETE CASE. Methods Appl. Anal., Tome 10 (2003) no. 3, pp.  487-512. http://gdmltest.u-ga.fr/item/1093024260/