An Extrapolation Cascadic Multigrid Method Combined with a Fourth-Order Compact Scheme for 3D Poisson Equation
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[1] M. Dehghan,et al. A fast and efficient two-grid method for solving d-dimensional poisson equations , 2016, Numerical Algorithms.
[2] K. Pan,et al. A new extrapolation cascadic multigrid method for 3D elliptic boundary value problems on rectangular domains , 2015, 1506.02983.
[3] K. Pan,et al. 2.5-D and 3-D DC resistivity modelling using an extrapolation cascadic multigrid method , 2014 .
[4] K. Pan,et al. Asymptotic expansions of finite element solutions to Robin problems in H3 and their application in extrapolation cascadic multigrid method , 2014 .
[5] K. Pan,et al. TIME-EXTRAPOLATION ALGORITHM (TEA) FOR LINEAR PARABOLIC PROBLEMS * , 2014 .
[6] Carlos Henrique Marchi,et al. Highly accurate numerical solutions with repeated Richardson extrapolation for 2D laplace equation , 2013 .
[7] Jinping Zeng,et al. A cascadic multigrid method for a kind of semilinear elliptic problem , 2011, Numerical Algorithms.
[8] Fujun Cao,et al. Multigrid method based on the transformation-free HOC scheme on nonuniform grids for 2D convection diffusion problems , 2011, J. Comput. Phys..
[9] Yin Wang,et al. Fast and robust sixth-order multigrid computation for the three-dimensional convection-diffusion equation , 2010, J. Comput. Appl. Math..
[10] Yongbin Ge,et al. Multigrid method and fourth-order compact difference discretization scheme with unequal meshsizes for 3D poisson equation , 2010, J. Comput. Phys..
[11] Chen-liang Li,et al. Analysis of extrapolation cascadic multigrid method (EXCMG) , 2008 .
[12] Qiang Du,et al. Cascadic multigrid methods for parabolic problems , 2008 .
[13] Kailash C. Patidar,et al. On Richardson extrapolation for fitted operator finite difference methods , 2008, Appl. Math. Comput..
[14] Yunqing Huang,et al. Economical cascadic multigrid method (ECMG) , 2007 .
[15] Jie Wang,et al. A general meshsize fourth-order compact difference discretization scheme for 3D Poisson equation , 2006, Appl. Math. Comput..
[16] Rahul Kumar,et al. One-sided finite-difference approximations suitable for use with Richardson extrapolation , 2006, J. Comput. Phys..
[17] Godehard Sutmann,et al. High-order compact solvers for the three-dimensional Poisson equation , 2006 .
[18] Shuzi Zhou,et al. On the convergence of a cascadic multigrid method for semilinear elliptic problem , 2004, Appl. Math. Comput..
[19] Hai-wei Sun,et al. A high‐order finite difference discretization strategy based on extrapolation for convection diffusion equations , 2004 .
[20] Peter Deuflhard,et al. A Subspace Cascadic Multigrid Method for Mortar Elements , 2002, Computing.
[21] Jun Zhang. Multigrid Method and Fourth-Order Compact Scheme for 2D Poisson Equation with Unequal Mesh-Size Discretization , 2002 .
[22] Rob Stevenson,et al. Nonconforming finite elements and the cascadic multi-grid method , 2002, Numerische Mathematik.
[23] Gisela Timmermann,et al. A cascadic multigrid algorithm for semilinear elliptic problems , 2000, Numerische Mathematik.
[24] Gisela Timmermann,et al. A Cascadic Multigrid Algorithm for Semilinear Indefinite Elliptic Problems , 2000, Computing.
[25] Christopher K. W. Tam,et al. A Wavenumber Based Extrapolation and Interpolation Method for Use in Conjunction with High-Order Finite Difference Schemes , 2000 .
[26] Wolfgang Dahmen,et al. A cascadic multigrid algorithm for the Stokes equations , 1999, Numerische Mathematik.
[27] Murli M. Gupta,et al. Symbolic derivation of finite difference approximations for the three‐dimensional Poisson equation , 1998 .
[28] Irfan Altas,et al. Multigrid Solution of Automatically Generated High-Order Discretizations for the Biharmonic Equation , 1998, SIAM J. Sci. Comput..
[29] Jun Zhang. Fast and High Accuracy Multigrid Solution of the Three Dimensional Poisson Equation , 1998 .
[30] Murli M. Gupta,et al. Comparison of Second- and Fourth-Order Discretizations for Multigrid Poisson Solvers , 1997 .
[31] P. Deuflhard,et al. The cascadic multigrid method for elliptic problems , 1996 .
[32] Graham F. Carey,et al. A high-order compact formulation for the 3D Poisson equation , 1996 .
[33] V. V. Shaidurov,et al. Some estimates of the rate of convergence for the cascadic conjugate-gradient method , 1996 .
[34] J. Strikwerda. Finite Difference Schemes and Partial Differential Equations , 1989 .
[35] Reinhard Föβmeier,et al. On richardson extrapolation for finite difference methods on regular grids , 1989 .
[36] Murli M. Gupta. A fourth-order poisson solver , 1984 .
[37] S. Schaffer,et al. Higher Order Multi-Grid Methods* , 1984 .
[38] G. Marchuk,et al. Difference methods and their extrapolations , 1983 .
[39] L. Collatz. The numerical treatment of differential equations , 1961 .
[40] Gregory A. Newman,et al. A Review of High-Performance Computational Strategies for Modeling and Imaging of Electromagnetic Induction Data , 2013, Surveys in Geophysics.
[41] P. Ke. Extrapolation cascadic multigrid method for 2.5D direct current resistivity modeling , 2012 .
[42] Zhong-ci,et al. ON EXTRAPOLATION CASCADIC MULTIGRID METHOD , 2011 .
[43] Yin Wang,et al. Sixth order compact scheme combined with multigrid method and extrapolation technique for 2D poisson equation , 2009, J. Comput. Phys..
[44] Chen,et al. Standard and Economical Cascadic Multigrid Methods for the Mortar Finite Element Methods , 2009 .
[45] Murli M. Gupta,et al. Convergence of Fourth Order Compact Difference Schemes for Three-Dimensional Convection-Diffusion Equations , 2007, SIAM J. Numer. Anal..
[46] M. Othman,et al. An efficient multigrid poisson solver , 1999, Int. J. Comput. Math..
[47] Lutz Tobiska,et al. The Convergence of the Cascadic Conjugate-gradient Method Applied to Elliptic Problems in Domains with Re-entrant Corners , 1994 .
[48] Qun Lin,et al. Acceleration of the convergence in finite difference method by predictor-corrector and splitting extrapolation method , 1987 .
[49] William L. Briggs,et al. A multigrid tutorial , 1987 .