@article{M2AN_1994__28_6_667_0, author = {Cai, D.-M. and Falk, Richard S.}, title = {Reduced continuity finite element methods for first order scalar hyperbolic equations}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {28}, year = {1994}, pages = {667-698}, mrnumber = {1302419}, zbl = {0821.65068}, language = {en}, url = {http://dml.mathdoc.fr/item/M2AN_1994__28_6_667_0} }
Cai, D.-M.; Falk, R. S. Reduced continuity finite element methods for first order scalar hyperbolic equations. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 28 (1994) pp. 667-698. http://gdmltest.u-ga.fr/item/M2AN_1994__28_6_667_0/
[1] Reduced continuity finite element methods for hyperbolic equations, Ph. D. Dissertation, Rutgers University, 1991.
,[2] The Fintie Element Method for Elliptic Equations, North-Holland, Amsterdam, 1978. | MR 520174
,[3] Analysis of a continuous fimte element method for hyperbolic equations, SIAM J. Numer. Anal., 24 (1987), pp. 257-278. | MR 881364 | Zbl 0619.65100
and ,[4] Local estimates for a finite element method for hyperbolic and convection-diffusion equations, SIAM J. Numer. Anal., 29 (1992), pp. 730-754. | MR 1163354 | Zbl 0757.65104
and ,[5] A non-conforming piecewise quadratic finite element on triangles, Internat. J. Numer. Methods Engrg, 19 (1983), pp. 505-520. | MR 702056 | Zbl 0514.73068
and ,[6] A multidimensional upwind scheme with no crosswind diffusion, in Finite Element Methods for Convection Dominated Flows (T. J. R. Hughes, ed.), AMD (ASME), 1979, pp. 19-35. | MR 571681 | Zbl 0423.76067
and ,[7] Finite element methods for linear hyperbolic problems, Comput. Methods Appl. Mech. Engrg, 45 (1984), pp. 285-312. | MR 759811 | Zbl 0526.76087
, and ,[8] An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation, Math. Comp., 46 (1986), pp. 1-26. | MR 815828 | Zbl 0618.65105
and ,[9] On a finite element method for solving the neutron transport equations, in Mathematical Aspects of Finite Elements in Partial Differential Equations (C. de Boor), ed.), Academis Press, New York, 1974, pp. 89-123. | MR 658142 | Zbl 0341.65076
and ,[10] Triangular mesh methods for the neutron transport equation, Los Alamos Scientific Laboratory, Report LA-UR-73-479 (1973).
and ,[11] An optimal-order error estimate for the discontinuous Galerkin method, Math. Comp., 50 (1988), pp. 75-88. | MR 917819 | Zbl 0643.65059
,[12] A stable finite element method for first-order hyperbolic systems, Math. Comp., 36 (1981), pp. 65-86. | MR 595042 | Zbl 0462.65066
,