@article{M2AN_1989__23_4_565_0, author = {Chavent, Guy and Cockburn, Bernardo}, title = {The local projection $P^0-P^1$-discontinuous-Galerkin finite element method for scalar conservation laws}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {23}, year = {1989}, pages = {565-592}, mrnumber = {1025072}, zbl = {0715.65079}, language = {en}, url = {http://dml.mathdoc.fr/item/M2AN_1989__23_4_565_0} }
Chavent, Guy; Cockburn, Bernardo. The local projection $P^0-P^1$-discontinuous-Galerkin finite element method for scalar conservation laws. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 23 (1989) pp. 565-592. http://gdmltest.u-ga.fr/item/M2AN_1989__23_4_565_0/
[1] Approximate Riemman Solvers and Numerical Flux Functions, ICASE report n° 84-63 (1984). | Zbl 0597.65071
and ,[2] Convergence et Stabilité des Schémas LRG, INRIA report.
and ,[3] A finite Element Method for the 1D Water Flooding Problem with Gravity, J. Comp. Phys., 45 (1982), pp. 307-344. | MR 666166 | Zbl 0489.76106
and ,[4] Le Schéma G-k/2 pour les Lois de Conservation Scalaires, Congrès National d'Analyse Numérique (1984), pp. 53-56.
,[5] The Quasi-Monotone schemes for Scalar Conservation Laws, IMA Preprint Séries n° 263, 268 and 277. To appear in SIAM J. Numer. Anal. | MR 1025091
,[6] On a class of high-resolution total-variation-stable finite-differene schemes, SIAM J. Numer. AnaL, 21 (1984), pp. 1-23. | MR 731210 | Zbl 0547.65062
,[7] An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation, Math, of Comp., 46 (1986), pp.1-26. | MR 815828 | Zbl 0618.65105
and ,[8] A Numerical Conception of Entropy for Quasi-Linear Equations, Math. of Comp., 31 (1977), pp. 848-872. | MR 478651 | Zbl 0378.65053
,[9] On a Finite Element Method for Solving the Neutron Transport Equation, Mathematical Aspects of Finite Element in Partial Differential Equations, Academic Press, Ed. Carl de Boor, pp. 89-145. | Zbl 0341.65076
and ,[10] Convergence of Generalized MUSCL Schemes, SIAM J. Numer. Anal., 22 (1984), pp. 947-961. | MR 799122 | Zbl 0627.35061
,[11] Riemman Solvers, the Entropy Condition and Difference Approximations, SIAM J. Numer. Anal., 21 (1984), pp. 217-235. | MR 736327 | Zbl 0592.65069
,[12] Numerical Viscosity and the Entropy Condition for Conservative Difference Schemes, Math. Comp., 43 (1984), pp. 369-381. | MR 758189 | Zbl 0587.65058
,[13] Towards the Ultimate Conservative Scheme, II Monotonicity and Conservation Combined in a Second Order Scheme, J. Comput. Phys., 14 (1974), pp. 361-370. | Zbl 0276.65055
,