Uniform estimate of the constant in the strengthened CBS inequality for anisotropic non-conforming FEM systems

Uniform estimate of the constant in the strengthened CBS inequality for anisotropic non-conforming FEM systems

[1]  Panayot S. Vassilevski,et al.  Algebraic Multilevel Preconditioning of Anisotropic Elliptic Problems , 1994, SIAM J. Sci. Comput..

[2]  D. Arnold,et al.  Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates , 1985 .

[3]  Randolph E. Bank,et al.  An optimal order process for solving finite element equations , 1981 .

[4]  B. Mercier,et al.  Eigenvalue approximation by mixed and hybrid methods , 1981 .

[5]  Svetozar Margenov,et al.  Two‐level preconditioning of pure displacement non‐conforming FEM systems , 1999 .

[6]  Panayot S. Vassilevski,et al.  Algebraic Two-Level Preconditioning of Non-Conforming FEM Systems , 1997, LSSC.

[7]  Radim Blaheta,et al.  Nested tetrahedral grids and strengthened C.B.S. inequality , 2003, Numer. Linear Algebra Appl..

[8]  R. Bank,et al.  The hierarchical basis multigrid method , 1988 .

[9]  I. Gustafsson,et al.  Preconditioning and two-level multigrid methods of arbitrary degree of approximation , 1983 .

[10]  P. Vassilevski,et al.  Algebraic multilevel preconditioning methods. I , 1989 .

[11]  O. Axelsson.  Iterative solution methods , 1995 .

[12]  Owe Axelsson,et al.  An optimal order multilevel preconditioner with respect to problem and discretization parameters , 2001 .

[13]  Owe Axelsson.  Stabilization of algebraic multilevel iteration methods; additive methods , 2004, Numerical Algorithms.

[14]  Victor Eijkhout,et al.  The Role of the Strengthened Cauchy-Buniakowskii-Schwarz Inequality in Multilevel Methods , 1991, SIAM Rev..

[15]  Owe Axelsson,et al.  On the Additive Version of the Algebraic Multilevel Iteration Method for Anisotropic Elliptic Problems , 1999, SIAM J. Sci. Comput..

[16]  O. Axelsson,et al.  Algebraic multilevel preconditioning methods, II , 1990 .

[17]  Boujemâa Achchab,et al.  Estimate of the Constant in Two Strengthened C.B.S. Inequalities for F.E.M. Systems of 2D Elasticity: Application to Multilevel Methods and a Posteriori Error Estimators , 1996, Numer. Linear Algebra Appl..

[18]  Svetozar Margenov.  Upper bound of the constant in the strengthened C.B.S. inequality for FEM 2D elasticity equations , 1994, Numer. Linear Algebra Appl..

[19]  Owe Axelsson,et al.  Two Simple Derivations of Universal Bounds for the C.B.S. Inequality Constant , 2004 .