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Zienkiewicz O.C., Taylor R.L. Vol. 3. The finite - tiera.ru
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25. T.J.R. Hughes and A.N. Brooks. A theoretical framework for Petrov±Galerkin methods<br />
with discontinuous weighting function, in Finite Elements in Fluids (eds R.H. Gallagher<br />
et al.), <strong>Vol</strong>. 4, pp. 47±65, Wiley, Chichester, 1982.<br />
26. C. Johnson and A. Szepessy. On the convergence of a ®nite element method for a nonlinear<br />
hyperbolic conservation law. Math. Comput., 49, 427±44, 1987.<br />
27. F. Shakib, T.R.J. Hughes and Z. Johan. A new ®nite element formulation for computational<br />
¯uid dynamics: X. <strong>The</strong> compressible Euler and Navier±Stokes equations. Comp.<br />
Meth. Appl. Mech. Eng., 89, 141±219, 1991.<br />
28. R. Codina. A discontinuity capturing crosswind±dissipation for the ®nite element solution<br />
of convection di€usion equation. Comp. Meth. Appl. Mech. Eng., 110, 325±42, 199<strong>3.</strong><br />
29. P. Nithiarasu, O.C. <strong>Zienkiewicz</strong>, B.V.K.S. Sai, K. Morgan, R. Codina and M. Va zquez.<br />
Shock capturing viscosities for the general ¯uid mechanics algorithm. Int. J. Num. Meth.<br />
Fluids, 28, 1325±53, 1998.<br />
30. C. Johnson, V. NaÈ vert and J. PitkaÈ ranta. Finite element methods for linear, hyperbolic<br />
problems. Comp. Meth. Appl. Mech. Eng., 45, 285±312, 1984.<br />
31. P.A.B. de Sampaio. A modi®ed operator analysis of convection di€usion problems,<br />
in Proc. II National Meeting on <strong>The</strong>rmal Sciences, Aguas de Lindoia (Brazil). pp. 180±3,<br />
1988.<br />
32. N. Nguen and J. Reynen. A space±time least square ®nite element scheme for advection±<br />
di€usion equations. Comp. Meth. Appl. Mech. Eng., 42, 331±42, 1984.<br />
3<strong>3.</strong> G.F. Carey and B.N. Jiang. Least square ®nite elements for ®rst order hyperbolic systems.<br />
Int. J. Num. Meth. Eng., 26, 81±93, 1988.<br />
34. B.N. Jiang and G.F. Carey. A stable least-square ®nite element method for non-linear<br />
hyperbolic problems. Int. J. Num. Meth. Fluids, 8, 933±42, 1988.<br />
35. C. Johnson. Streamline di€usion elements for problems in ¯uid mechanics, in Finite<br />
Elements In Fluids (eds R.H. Gallagher et al.), <strong>Vol</strong>. 6, pp. 251±61, Wiley, Chichester, 1986.<br />
36. C. Johnson. Numerical Solution of Partial Di€erential Equations by the Finite Element<br />
Method. Cambridge University Press, Cambridge, 1987.<br />
37. C.C. Yu and J.C. Heinrich. Petrov±Galerkin methods for the time dependent convective<br />
transport equation. Int. J. Num. Meth. Eng., 23, 883±901, 1986.<br />
38. C.C. Yu and J.C. Heinrich. Petrov±Galerkin method for multidimensional, time dependent<br />
convective di€usion equation. Int. J. Num. Meth. Eng., 24, 2201±15, 1987.<br />
39. C.E. Baumann, M.A. Storti and S.R. Idelsohn. A Petrov±Galerkin technique for the<br />
solution of transonic and supersonic ¯ows. Comp. Meth. Appl. Mech. Eng., 95, 49±70, 1992.<br />
40. P.A.B. de Sampaio, P.R.M. Lyra, K. Morgan and N.P. Weatherill. Petrov±Galerkin solutions<br />
of the incompressible Navier±Stokes equations in primitive variables with adaptive<br />
remeshing. Comp. Meth. Appl. Mech. Eng., 106, 143±78, 199<strong>3.</strong><br />
41. J.A. Cardle. A modi®cation of the Petrov±Galerkin method for the transient convection<br />
di€usion equation. Int. J. Num. Meth. Eng., 38, 171±81, 1995.<br />
42. S.R. Idelsohn, J.C. Heinrich and E. OnÄ ate. Petrov±Galerkin methods for the transient<br />
advective±di€usive equation with sharp gradients. Int. J. Num. Meth. Eng., 39, 1455±73,<br />
1996.<br />
4<strong>3.</strong> R. Codina. Comparison of some ®nite element methods for solving the di€usion±convection±reaction<br />
equation. Comp. Meth. Appl. Mech. Eng., 156, 185±210, 1998.<br />
44. P.K. Maji and G. Biswas. Analysis of ¯ow in the spiral casing using a streamline upwind<br />
Petrov±Galerkin method. Int. J. Num. Meth. Eng., 45, 147±74, 1999.<br />
45. R.A. Adey and C.A. Brebbia. Finite element solution of e‚uent dispersion, in Numerical<br />
Methods in Fluid Mechanics (eds C.A. Brebbia and J.J. Connor). pp. 325±54, Pentech<br />
Press, Southampton, 1974.<br />
46. K.W. Morton. Generalised Galerkin methods for hyperbolic problems. Comp. Meth. Appl.<br />
Mech. Eng., 52, 847±71, 1985.<br />
References 61