A new mixed finite element method based on the Crank–Nicolson scheme for the parabolic problems
暂无分享,去创建一个
[1] R. Rannacher,et al. Finite-element approximations of the nonstationary Navier-Stokes problem. Part IV: error estimates for second-order time discretization , 1990 .
[2] Claes Johnson. Numerical solution of partial differential equations by the finite element method , 1988 .
[3] Hans Johnston,et al. Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term , 2004 .
[4] Philippe G. Ciarlet,et al. The finite element method for elliptic problems , 2002, Classics in applied mathematics.
[5] Florentina Tone,et al. Error analysis for a second order scheme for the Navier-Stokes equations , 2004 .
[6] J. Crank,et al. A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type , 1947 .
[7] Michel Fortin,et al. Mixed and Hybrid Finite Element Methods , 2011, Springer Series in Computational Mathematics.
[8] Yinnian He,et al. Convergence analysis of an implicit fractional-step method for the incompressible Navier–Stokes equations , 2011 .
[9] L. D. Marini,et al. MIXED FINITE ELEMENT METHODS WITH CONTINUOUS STRESSES , 1993 .
[10] P. Raviart,et al. A mixed finite element method for 2-nd order elliptic problems , 1977 .
[11] J. Nédélec. Mixed finite elements in ℝ3 , 1980 .
[12] Weiwei Sun,et al. Stability and Convergence of the Crank-Nicolson/Adams-Bashforth scheme for the Time-Dependent Navier-Stokes Equations , 2007, SIAM J. Numer. Anal..
[13] Zhifeng Weng,et al. A Fully Discrete Stabilized Mixed Finite Element Method for Parabolic Problems , 2013 .
[14] Jean E. Roberts,et al. Global estimates for mixed methods for second order elliptic equations , 1985 .
[15] L. D. Marini,et al. Two families of mixed finite elements for second order elliptic problems , 1985 .
[16] M. Fortin,et al. Mixed finite elements for second order elliptic problems in three variables , 1987 .
[17] Feng Shi,et al. A new stabilized mixed finite-element method for Poisson equation based on two local Gauss integrations for linear element pair , 2011, Int. J. Comput. Math..
[18] Yinnian He,et al. The convergence of a new parallel algorithm for the Navier-Stokes equations , 2009 .
[19] Richard E. Ewing,et al. Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data , 1998 .
[20] Weiwei Sun,et al. Stabilized finite element method based on the Crank-Nicolson extrapolation scheme for the time-dependent Navier-Stokes equations , 2007, Math. Comput..
[21] Yinnian He,et al. Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations , 2003, SIAM J. Numer. Anal..
[22] J. Douglas,et al. Prismatic mixed finite elements for second order elliptic problems , 1989 .