AN ODYSSEY INTO LOCAL REFINEMENT AND MULTILEVEL PRECONDITIONING II: STABILIZING HIERARCHICAL BASIS METHODS
暂无分享,去创建一个
[1] Panayot S. Vassilevski,et al. Stabilizing the Hierarchical Basis by Approximate Wavelets, I: Theory , 1997, Numer. Linear Algebra Appl..
[2] Panayot S. Vassilevski,et al. Wavelet-Like Methods in the Design of Efficient Multilevel Preconditioners for Elliptic PDEs , 1997 .
[3] R. Skeel,et al. Unified Multilevel Adaptive Finite Element Methods for Elliptic Problems , 1988 .
[4] Joseph E. Pasciak,et al. On the stability of the L2 projection in H1(Omega) , 2002, Math. Comput..
[5] Randolph E. Bank,et al. Hierarchical bases and the finite element method , 1996, Acta Numerica.
[6] Harry Yserentant,et al. A basic norm equivalence for the theory of multilevel methods , 1993 .
[7] Barry Joe,et al. Quality Local Refinement of Tetrahedral Meshes Based on Bisection , 1995, SIAM J. Sci. Comput..
[8] Michael J. Holst,et al. An Odyssey into Local Refinement and Multilevel Preconditioning III: Implementation and Numerical Experiments , 2003, SIAM J. Sci. Comput..
[9] Randolph E. Bank,et al. Analysis Of A Two-Level Scheme For Solving Finite Element Equations , 1980 .
[10] E. G. Sewell,et al. Automatic generation of triangulations for piecewise polynomial approximation , 1972 .
[11] Maria Elizabeth G. Ong,et al. Hierarchical Basis Preconditioners in Three Dimensions , 1997, SIAM J. Sci. Comput..
[12] F. Bornemann,et al. Adaptive multivlevel methods in three space dimensions , 1993 .
[13] Rob Stevenson,et al. A robust hierarchical basis preconditioner on general meshes , 1997 .
[14] M. E. Go Ong,et al. Hierachical basis preconditioners for second order elliptic problems in three dimensions , 1989 .
[15] Panayot S. Vassilevski,et al. Stabilizing the Hierarchical Basis by Approximate Wavelets II: Implementation and Numerical Results , 1998, SIAM J. Sci. Comput..
[16] Panayot S. Vassilevski,et al. Stabilizing the Hierarchical Basis by Approximate Wavelets, I: Theory , 1997 .
[17] P. Oswald,et al. Remarks on the Abstract Theory of Additive and Multiplicative Schwarz Algorithms , 1995 .
[18] S. Jaffard. Wavelet methods for fast resolution of elliptic problems , 1992 .
[19] Rob P. Stevenson. Robustness of the additive and multiplicative frequency decomposition multi-level method , 2005, Computing.
[20] Carsten Carstensen,et al. Merging the Bramble-Pasciak-Steinbach and the Crouzeix-Thomée criterion for H1-stability of the L2-projection onto finite element spaces , 2002, Math. Comput..
[21] Burak Aksoylu,et al. AN ODYSSEY INTO LOCAL REFINEMENT AND MULTILEVEL PRECONDITIONING I: OPTIMALITY OF THE BPX PRECONDITIONER , 2005 .
[22] H. Yserentant. Old and new convergence proofs for multigrid methods , 1993, Acta Numerica.
[23] R. Bank,et al. The hierarchical basis multigrid method , 1988 .
[24] H. Yserentant. On the multi-level splitting of finite element spaces , 1986 .
[25] GermanyNumerische Mathematik,et al. Multilevel Preconditioning , 1992 .
[26] Jinchao Xu,et al. Some Estimates for a Weighted L 2 Projection , 1991 .
[27] Jinchao Xu,et al. Iterative Methods by Space Decomposition and Subspace Correction , 1992, SIAM Rev..