On the design of general-purpose flux limiters for implicit FEM with a consistent mass matrix
暂无分享,去创建一个
[1] Chi-Wang Shu,et al. The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws V , 1998 .
[2] Stefan Turek,et al. Flux correction tools for finite elements , 2002 .
[3] Elaine S. Oran,et al. Numerical Simulation of Reactive Flow , 1987 .
[4] G. G. Stokes. "J." , 1890, The New Yale Book of Quotations.
[5] Robert J. MacKinnon,et al. Positivity‐preserving, flux‐limited finite‐difference and finite‐element methods for reactive transport , 2003 .
[6] Philip L. Roe,et al. Multidimensional upwind schemes based on fluctuation-splitting for systems of conservation laws , 1993 .
[7] R. LeVeque. High-resolution conservative algorithms for advection in incompressible flow , 1996 .
[8] Stefan Turek,et al. Efficient Solvers for Incompressible Flow Problems - An Algorithmic and Computational Approach , 1999, Lecture Notes in Computational Science and Engineering.
[9] Dmitri Kuzmin,et al. Positive finite element schemes based on the flux-corrected transport procedure , 2001 .
[10] Martin Berzins,et al. Variable-order finite elements and positivity preservation for hyperbolic PDEs , 2004 .
[11] Alexander Sokolichin. Mathematische Modellbildung und numerische Simulation von Gas-Flüssigkeits-Blasenströmungen , 2004 .
[12] Martin Berzins,et al. Modified mass matrices and positivity preservation for hyperbolic and parabolic PDEs , 2001 .
[13] Dmitri Kuzmin,et al. Algebraic Flux Correction I. Scalar Conservation Laws , 2005 .
[14] J. Peraire,et al. TVD ALGORITHMS FOR THE SOLUTION OF THE COMPRESSIBLE EULER EQUATIONS ON UNSTRUCTURED MESHES , 1994 .
[15] L. Quartapelle,et al. An analysis of time discretization in the finite element solution of hyperbolic problems , 1987 .
[16] D. Kuzmin,et al. High-resolution FEM-TVD schemes based on a fully multidimensional flux limiter , 2004 .
[17] Antony Jameson,et al. Positive schemes and shock modelling for compressible flows , 1995 .
[18] Alain Dervieux,et al. Construction of TVD-like Artificial Viscosities on Two-Dimensional Arbitrary FEM Grids , 1993 .
[19] D. Kuzmin,et al. Algebraic Flux Correction III. Incompressible Flow Problems , 2005 .
[20] K. Morgan,et al. FEM-FCT - Combining unstructured grids with high resolution. [Flux Corrected Transport , 1988 .
[21] Dmitri Kuzmin,et al. Algebraic Flux Correction II. Compressible Euler Equations , 2005 .
[22] Stefan Turek,et al. High-resolution FEM?FCT schemes for multidimensional conservation laws , 2004 .
[23] T. Jongen,et al. Design of an unconditionally stable, positive scheme for the K-ϵ and two-layer turbulence models , 1997 .
[24] Joel H. Ferziger,et al. Computational methods for fluid dynamics , 1996 .
[25] S. Zalesak. Fully multidimensional flux-corrected transport algorithms for fluids , 1979 .
[26] Philip L. Roe,et al. Multidimensional upwinding: Its relation to finite elements , 1995 .
[27] J. Peraire,et al. Finite Element Flux-Corrected Transport (FEM-FCT) for the Euler and Navier-Stokes equations , 1987 .
[28] Rainald Löhner,et al. The design of flux-corrected transport (fct) algorithms on structured grids , 2005 .
[29] Dmitri Kuzmin,et al. Adaptive mesh refinement for high‐resolution finite element schemes , 2006 .
[30] Jozef Brilla. Error analysis for Laplace transform —Finite element solution of hyperbolic equations , 1983 .
[31] A. Jameson. Computational algorithms for aerodynamic analysis and design , 1993 .
[32] M. Lukáčová-Medvid'ová,et al. Combined finite element-finite volume solution of compressible flow , 1995 .
[33] Philip L. Roe,et al. A Well-Behaved TVD Limiter for High-Resolution Calculations of Unsteady Flow , 1997 .
[34] Barry Koren,et al. A robust upwind discretization method for advection, diffusion and source terms , 1993 .
[35] K. Hain. The partial donor cell method , 1978 .
[36] George Em Karniadakis,et al. The Development of Discontinuous Galerkin Methods , 2000 .
[37] Vittorio Selmin. Finite element solution of hyperbolic equations II. Two dimensional case , 1987 .