A Multilevel Preconditioner for the Interior Penalty Discontinuous Galerkin Method
暂无分享,去创建一个
[1] A. Hohmann,et al. Numerical Analysis in Modern Scientific Computing: An Introduction , 2003 .
[2] Harry Yserentant,et al. On the multi-level splitting of finite element spaces , 1986 .
[3] J. Pasciak,et al. Parallel multilevel preconditioners , 1990 .
[4] P. Oswald,et al. Remarks on the Abstract Theory of Additive and Multiplicative Schwarz Algorithms , 1995 .
[5] Jinchao Xu,et al. The auxiliary space method and optimal multigrid preconditioning techniques for unstructured grids , 1996, Computing.
[6] Ohannes A. Karakashian,et al. A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems , 2003, SIAM J. Numer. Anal..
[7] Guido Kanschat,et al. Multilevel methods for discontinuous Galerkin FEM on locally refined meshes , 2004 .
[8] Peter Deuflhard,et al. Numerical Analysis in Modern Scientific Computing , 2003 .
[9] Endre Süli,et al. Hp-DGFEM for Partial Di erential Equations with Nonegative Characteristic Form , 1999 .
[10] Susanne C. Brenner,et al. Two-level additive Schwarz preconditioners for nonconforming finite element methods , 1996, Math. Comput..
[11] P. Frauenfelder,et al. Exponential convergence of the hp-DGFEM for diffusion problems , 2003 .
[12] D. Schötzau,et al. ENERGY NORM A POSTERIORI ERROR ESTIMATION OF hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS , 2007 .
[13] Guido Kanschat,et al. A multilevel discontinuous Galerkin method , 2003, Numerische Mathematik.
[14] Gerald Farin,et al. Curves and surfaces for computer aided geometric design , 1990 .
[15] Ludmil T. Zikatanov,et al. Two‐level preconditioning of discontinuous Galerkin approximations of second‐order elliptic equations , 2006, Numer. Linear Algebra Appl..
[16] Wolfgang Dahmen,et al. Multilevel preconditioners for the interior penalty discontinuous Galerkin method II- Quantitative studies , 2008 .
[17] SwitzerlandPaul HoustonOxford,et al. Hp-dgfem for Partial Diierential Equations with Nonnegative Characteristic Form , 1999 .
[18] G. Kanschat,et al. Multilevel preconditioners for the interior penalty method , 2003 .
[19] Wolfgang Dahmen. Adaptive approximation by multivariate smooth splines , 1982 .
[20] W. Dahmen. Wavelet and multiscale methods for operator equations , 1997, Acta Numerica.
[21] Peter Oswald. Preconditioners for nonconforming discretizations , 1996, Math. Comput..
[22] W. Dahmen,et al. Multilevel preconditioning , 1992 .
[23] Douglas N. Arnold,et al. Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems , 2001, SIAM J. Numer. Anal..
[24] D. Arnold. An Interior Penalty Finite Element Method with Discontinuous Elements , 1982 .
[25] Jinchao Xu,et al. Iterative Methods by Space Decomposition and Subspace Correction , 1992, SIAM Rev..