[1] |
Bermúdez A,Rodríguez C,Vilar M A.Solving shallow water equations by a mixed implicit finite element method[J].IMA J Numer Anal,1991,11(1):79—97. doi: 10.1093/imanum/11.1.79
|
[2] |
Chipada S,Dawson C N,Martinez M L,et al.Finite element approximations to the system of shallow water equations Ⅰ:Continuous-time a priori error estimates[J].SIAM J Numer Anal,1998,35(2):692—711. doi: 10.1137/S0036142995296515
|
[3] |
Agoshkov V I,Ovchinnikov E,Quarteroni A,et al.Recent developments in the numerical simulation of shallow water equations Ⅱ:Temporal discretization[J].Math Models Methods Appl Sci,1994,55(4):533—566.
|
[4] |
Agoshkov V I,Quarteroni A,Saleri F.Recent developments in the numerical simulation of shallow water equation Ⅰ:Boundary conditions[J].Appl Numer Math,1994,15(1):175—200. doi: 10.1016/0168-9274(94)00014-X
|
[5] |
Gray W G.A finite element study of tidal flow data for the north sea and English channel[J].Adv Water Res,1989,12(1):143—154. doi: 10.1016/0309-1708(89)90019-5
|
[6] |
Gray W G,Drolet J,Kinnmark I P E.A simulation of tidal flow in the southern part of the north sea and English channel[J].Adv Water Res,1987,10(1):131—137. doi: 10.1016/0309-1708(87)90019-4
|
[7] |
GUO Dong-jian,ZENG Qing-cun,ZHU Jiang,et al.Long-term computational modelling research on river sedimentation and delta evolution[J].Climatic and Environmental Research,1996,1(1):30—37.
|
[8] |
ZENG Qing-cun.Silt sedimentation and relevant engineering problem—an example of natural cybernetics[A].ICIAM95 held in Hamburg,In:Proceeding of the Third International Congress on Industrial and Applied Mathematics,Akademie Verlag,1995,463—487.
|
[9] |
ZHU Jiang,ZENG Qing-cun,GUO Dong-jian,et al.Sensitivity analysis of hydraulic/sediment transport numerical model[J].J Sediment Research,1998,1(2):89—96.
|
[10] |
Adams R A.Sobolev Spaces[M].New York:Academic Press,1975.
|
[11] |
忻孝康,刘儒勋,蒋伯诚.计算流体动力学[M].长沙:国防科技大学出版社,1989.
|
[12] |
Girault V,Raviart P A.Finite Element Approximations of the Navier-Stokes Equations[M].Berlin, Heidelberg, New York:Springer-Verlag,1979.
|
[13] |
Ciarlet P G.The Finite Element Method for Elliptic Problems[M].Amsterdam:North-Holland,1978.
|
[14] |
罗振东.有限元混合法理论基础及其应用,发展与应用[M].济南:山东教育出版社,1996.
|
[15] |
Brezzi F,Fortin M.Mixed and Hybrid Finite Element Methods[M].New York,Berlin,Heidelberg:Springer-Verlag,1991.
|