[1] |
Jackson J D.Classical Electrodynamics[M].New York:Wiley,1975.
|
[2] |
Foias C,Manley O P,Temam R.Modelization of the interaction of small and large eddies in two dimensional turbulent flows[J].Math Model Numer Anal,1988,22(1):93—114.
|
[3] |
Marion M,Temam R.Nonlinear Galerkin method[J].SIAM J Numer Anal,1989,2(5):1139—1157.
|
[4] |
Foias C,Jolly M,Kevrekidis I G,et al.Dissipativy of numerical schemes[J].Nonlinearity,1991,4(4):591—613. doi: 10.1088/0951-7715/4/3/001
|
[5] |
Devulder C,Marion M,Titi E.On the rate of convergence of nonlinear Galerkin methods[J].Math Comp,1992,59(200):173—201.
|
[6] |
Marion M,Temam R.Nonlinear Galerkin methods: the finite elements case[J].Numer Math,1990,57(3):205—226. doi: 10.1007/BF01386407
|
[7] |
Ait Ou Ammi A,Marion M.Nonlinear Galerkin methods and mixed finite elements: two-grid algorithms for the Navier-Stokes equations[J].Numer Math,1994,68(2):189—213. doi: 10.1007/s002110050056
|
[8] |
Li K T,Zhou L.Finite element nonlinear Galerkin methods for penalty Navier-Stokes equations[J].Math Numerica Sinica,1995,17(4):360—380.
|
[9] |
Luo Z D,Wang L H.Nonlinear Galerkin mixed element methods for the non stationary conduction-convection problems(Ⅰ)—The continuous-time case[J].Chinese J Numer Math Appl,1998,20(4):71—94.
|
[10] |
Luo Z D,Wang L H.Nonlinear Galerkin mixed element methods for the non stationary conduction-convection problems(Ⅱ)—The backward one-step Euler fully discrete format[J].Chinese J Numer Math Appl,1999,21(1):86—105.
|
[11] |
Adams R A.Sobolev space[M].New York:Academic Press,1975.
|
[12] |
Gunzburger M D,Meir A J,Peterson J S.On the existence,uniqueness,and finite element approximation of solution of the equation of stationary,incompressible magnetohydrodynamics[J].Math Comp,1991,56(194):523—563. doi: 10.1090/S0025-5718-1991-1066834-0
|
[13] |
Ciarlet P G.The Finite Element Method for Elliptic Problems[M]. Amsterdam:North-Holland,1978.
|
[14] |
Bernardi C,Raugel B. Analysis of some finite elements for the Stokes problem[J].Math Comp,1985,44(169):71—79. doi: 10.1090/S0025-5718-1985-0771031-7
|
[15] |
Wiedmer M.Finite element approximation for equation of magnetohydrodynamics[J].Math Comp,1999,69(229):83—101. doi: 10.1090/S0025-5718-99-01146-1
|
[16] |
罗振东.混合有限元法基础及其应用[M].北京:科学出版社,2006.
|
[17] |
Girault V,Raviart P A.Finite Element Approximations of the Navier-Stokes Equations, Theorem and Algorithms[M].New York:Springer-Verlag,1986.
|
[18] |
罗振东,朱江.定常的Navier-Stokes方程的非线性Galerkin混合元法及其后验估计[J].应用数学和力学,2002,23(10):1061—1072.
|
[19] |
Bank R E,Welfert B.A posteriori error estimates for the Stokes equations: A comparison[J].Comput Methods Appl Mech Engrg,1990,82(3):323—340. doi: 10.1016/0045-7825(90)90170-Q
|
[20] |
Temam R.Navier-Stokes Equations[M].Amsterdam:North-Holland,1984.
|