@article{M2AN_1988__22_4_625_0, author = {Morton, K. W. and Priestley, A. and Suli, E.}, title = {Stability of the Lagrange-Galerkin method with non-exact integration}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {22}, year = {1988}, pages = {625-653}, mrnumber = {974291}, zbl = {0661.65114}, language = {en}, url = {http://dml.mathdoc.fr/item/M2AN_1988__22_4_625_0} }
Morton, K. W.; Priestley, A.; Suli, E. Stability of the Lagrange-Galerkin method with non-exact integration. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 22 (1988) pp. 625-653. http://gdmltest.u-ga.fr/item/M2AN_1988__22_4_625_0/
[1] Handbook of Mathematical Functions. Dover Publications Inc., New York, 1965.
& ,[2] A new finite element method for the Navier-Stokes equations coupled with a temperature equation. Proc. 4th Int. Symp. on Finite Element Methods in Flow Probiems (Ed. T. Kawai), North-Holland, Amsterdam, Oxford, New York, 1982, pp. 295-301. | MR 706421 | Zbl 0508.76049
, & ,[3] Characteristics and the finite element method. Proc. 4th Int. Symp. on Finite Element Methods in Flow Problems (Ed. T. Kawai), North-Holland, Amsterdam, Oxford, New York, 1982, pp. 67-63. | MR 706421 | Zbl 0508.76007
& ,[4] Characteristic Galerkin methods for scalar conservation laws in on dimension. Oxford University Computing Laboratory Report No. 86/5, 1986. To appear in SIAM J. Numerical Analysis. | Zbl 0728.65086
& ,[5] A Mathematical Introduction to Fluid Mechanics (Universitext). Springer-Verlag, New York, Berlin, Heidelberg, Tokyo, 1984. | Zbl 0417.76002
& ,[6] Numerical methods for convention-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures. SIAM J. Numer. Anal., 19 (1982), pp. 871-885. | MR 672564 | Zbl 0492.65051
& ,[7] Privarte communication.
,[8] The particle in celle computing method for fluid dynamics. Methods in Computational Physis (Ed. B. Adler, S. Fernbach & M. Rotenberg), Vol. 3, Academic Press, New York, 1964.
,[9] Computer Simulation Using Particles. McGraw-Hill, New York, 1981. | Zbl 0662.76002
& ,[10] Numerical Analysis. Chapman & Hall Ltd. London, 1961. | Zbl 0101.33701
,[11] Approximate Calculation of Integrals. Mac Millan, New York, 1962. | MR 144464 | Zbl 0111.31801
,[12] Numerical solution of the equation of continuity. Topics in Numerical Analysis III (Ed. J. J. H. Miller), Academic Press, London, New York, San Francisco, 1977, pp. 199-222. | MR 658144 | Zbl 0435.76010
,[13] On characteristic and Lagrange-Galerkin methods. Pitman Research Notes in Mathematics Series (Ed. D. F. Griffiths & G. A. Watson), Longman Scientific and Technical, Harlow, 1986.
& ,[14] A comparison of flux limited difference methods and characteristic Galerkin methods for shock modelling. To appear in J. Comput. Phys. | Zbl 0632.76077
& ,[15] On the transport diffusion algorithm and its application to the Navier-Stokes equations, Numer. Math., 38 (1982), pp. 309-332. | MR 654100 | Zbl 0505.76100
,[16] Time stepping along characteristics with incomplete iteration for a Galerin approcimation of miscible displacement in porus media. Ph. D. Thesis, University of Chicago, 1980. | Zbl 0594.76087
,[17] Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations, Numer. Math., 53 (1988), pp. 459-483. | MR 951325 | Zbl 0637.76024
,