Continuous, discontinuous and coupled discontinuous–continuous Galerkin finite element methods for the shallow water equations
暂无分享,去创建一个
Joannes J. Westerink | Clinton N Dawson | Dharhas Pothina | J. Westerink | C. Dawson | Jesse C. Feyen | Dharhas Pothina | Jesse Feyen
[1] Joannes J. Westerink,et al. Aspects of nonlinear simulations using shallow-water models based on the wave continuity equation , 1994 .
[2] Pilar García-Navarro,et al. A HIGH-RESOLUTION GODUNOV-TYPE SCHEME IN FINITE VOLUMES FOR THE 2D SHALLOW-WATER EQUATIONS , 1993 .
[3] Garry M. Lindberg,et al. Convergence studies of eigenvalue solutions using two finite plate bending elements , 1970 .
[4] Chi-Wang Shu,et al. The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems , 1998 .
[5] Clint Dawson,et al. Discontinuous and coupled continuous/discontinuous Galerkin methods for the shallow water equations , 2002 .
[6] J. Oden,et al. A discontinuous hp finite element method for convection—diffusion problems , 1999 .
[7] Chi-Wang Shu,et al. The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws , 1988, ESAIM: Mathematical Modelling and Numerical Analysis.
[8] Clinton N Dawson,et al. A priori error estimates for interior penalty versions of the local discontinuous Galerkin method applied to transport equations , 2001 .
[9] Jan S. Hesthaven,et al. Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations , 2002 .
[10] Chi-Wang Shu,et al. TVB Runge-Kutta local projection discontinuous galerkin finite element method for conservation laws. II: General framework , 1989 .
[11] I. Babuska,et al. A DiscontinuoushpFinite Element Method for Diffusion Problems , 1998 .
[12] Joannes J. Westerink,et al. Tide and Storm Surge Predictions Using Finite Element Model , 1992 .
[13] M. Wheeler. An Elliptic Collocation-Finite Element Method with Interior Penalties , 1978 .
[14] Clinton N Dawson,et al. Conservative, shock-capturing transport methods with nonconservative velocity approximations , 1999 .
[15] A Comparison of Tidal Models for the Southwest Coast of Vancouver Island , 1988 .
[16] Ingemar Kinnmark,et al. The Shallow Water Wave Equations: Formulation, Analysis and Application , 1985 .
[17] G. A. Baker. Finite element methods for elliptic equations using nonconforming elements , 1977 .
[18] Patrick J. Roache,et al. Verification and Validation in Computational Science and Engineering , 1998 .
[19] J. Oden,et al. hp-Version discontinuous Galerkin methods for hyperbolic conservation laws , 1996 .
[20] Norman W. Scheffner,et al. ADCIRC: An Advanced Three-Dimensional Circulation Model for Shelves, Coasts, and Estuaries. Report 1. Theory and Methodology of ADCIRC-2DDI and ADCIRC-3DL. , 1992 .
[21] R. Szymkiewicz. Oscillation‐Free Solution of Shallow Water Equations for Nonstaggered Grid , 1993 .
[22] Spencer J. Sherwin,et al. A triangular spectral/hp discontinuous Galerkin method for modelling 2D shallow water equations , 2004 .
[23] Joannes J. Westerink,et al. Two‐dimensional dispersion analyses of finite element approximations to the shallow water equations , 2004 .
[24] S. Osher,et al. Triangle based adaptive stencils for the solution of hyperbolic conservation laws , 1992 .
[25] D. Lynch,et al. Field verification of Wave Equation tidal dynamics in the English Channel and southern North Sea , 1987 .
[26] W. Gray. A finite element study of tidal flow data for the North Sea and English Channel , 1989 .
[27] C. Dawson,et al. A Godunov-type finite volume method for the system of shallow water equations , 1998 .
[28] Finite Element Approximations To The System Of Shallow Water Equations, Part I: Continuous Time A Pr , 1995 .
[29] M.G.G Foreman. An Analysis of the "Wave Equation" Model for Finite Element Tidal Computations , 1983 .
[30] Finite Element Approximations to the System of Shallow Water Equations, Part Ii: Discrete Time a Priori Error Estimates , 1997 .
[31] O. C. Zienkiewicz,et al. A split‐characteristic based finite element model for the shallow water equations , 1995 .
[32] I W Dand,et al. SHALLOW WATER HYDRODYNAMICS , 1971 .
[33] Daniel R. Lynch,et al. Harmonic structure of English Channel/Southern Bight tides from a wave equation simulation , 1989 .
[34] George Em Karniadakis,et al. The Development of Discontinuous Galerkin Methods , 2000 .
[35] William G. Gray,et al. A wave equation model for finite element tidal computations , 1979 .
[36] Chi-Wang Shu,et al. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems , 1989 .
[37] Clinton N Dawson,et al. A discontinuous Galerkin method for two-dimensional flow and transport in shallow water , 2002 .
[38] Dirk Schwanenberg,et al. Discontinuous Galerkin Finite-Element Method for Transcritical Two-Dimensional Shallow Water Flows , 2004 .
[39] Clint Dawson,et al. Some Extensions Of The Local Discontinuous Galerkin Method For Convection-Diffusion Equations In Mul , 1999 .
[40] William G. Gray,et al. Analytic Solutions for Computer Flow Model Testing , 1978 .
[41] B. Rivière,et al. Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. Part I , 1999 .
[42] Ilaria Perugia,et al. An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems , 2000, SIAM J. Numer. Anal..
[43] Chi-Wang Shu,et al. The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws V , 1998 .
[44] Chi-Wang Shu,et al. The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case , 1990 .
[45] Joannes J. Westerink,et al. The influence of domain size on the response characteristics of a hurricane storm surge model , 1994 .
[46] Cheryl Ann Blain,et al. Application of a coupled discontinuous–continuous Galerkin finite element shallow water model to coastal ocean dynamics , 2005 .
[47] A simulation of tidal flow in the southern part of the North Sea and the English Channel , 1987 .
[48] Joannes J. Westerink,et al. Grid convergence studies for the prediction of hurricane storm surge , 1998 .