[LIVRO][B] Mixed finite element methods and applications
D Boffi, F Brezzi, M Fortin - 2013 - Springer
About 10 years ago, Mixed and Hybrid Finite Element Methods by F. Brezzi and M. Fortin
went out of print and we were asked to allow a second printing. The world had evolved and …
went out of print and we were asked to allow a second printing. The world had evolved and …
[LIVRO][B] Robust algebraic multilevel methods and algorithms
J Kraus, S Margenov - 2009 - degruyter.com
Bibliography Page 1 Bibliography [1] M. Abramowitz and IA Stegun, Handbook of Mathematical
Functions. Dover Publications, New York, 1965, Ninth Printing 1972. [2] B. Achchab and JF …
Functions. Dover Publications, New York, 1965, Ninth Printing 1972. [2] B. Achchab and JF …
Finite element approximation of multi-scale elliptic problems using patches of elements
In this paper we present a method for the numerical solution of elliptic problems with multi-
scale data using multiple levels of not necessarily nested grids. The method consists in …
scale data using multiple levels of not necessarily nested grids. The method consists in …
Algebraic multigrid and algebraic multilevel methods: a theoretical comparison
Y Notay - Numerical linear algebra with applications, 2005 - Wiley Online Library
We consider algebraic methods of the two‐level type for the iterative solution of large sparse
linear systems. We assume that a fine/coarse partitioning and an algebraic interpolation …
linear systems. We assume that a fine/coarse partitioning and an algebraic interpolation …
On two ways of stabilizing the hierarchical basis multilevel methods
PS Vassilevski - SIAM review, 1997 - SIAM
A survey of two approaches for stabilizing the hierarchical basis (HB) multilevel
preconditioners, both additive and multiplicative, is presented. The first approach is based …
preconditioners, both additive and multiplicative, is presented. The first approach is based …
Uniform estimate of the constant in the strengthened CBS inequality for anisotropic non‐conforming FEM systems
R Blaheta, S Margenov… - Numerical Linear Algebra …, 2004 - Wiley Online Library
Preconditioners based on various multilevel extensions of two‐level finite element methods
(FEM) lead to iterative methods which have an optimal order computational complexity with …
(FEM) lead to iterative methods which have an optimal order computational complexity with …
Two simple derivations of universal bounds for the CBS inequality constant
Universal bounds for the constant in the strengthened Cauchy-Bunyakowski-Schwarz
inequality for piecewise linear-linear and piecewise quadratic-linear finite element spaces in …
inequality for piecewise linear-linear and piecewise quadratic-linear finite element spaces in …
Strengthened Cauchy–Bunyakowski–Schwarz inequality for a three‐dimensional elasticity system
The constant γ of the strengthened Cauchy–Bunyakowski–Schwarz (CBS) inequality plays a
fundamental role in the convergence rate of multilevel iterative methods. The main purpose …
fundamental role in the convergence rate of multilevel iterative methods. The main purpose …
Estimateur d'erreur a posteriori hiérarchique. Application aux éléments finis mixtes
B Achchab, A Agouzal, J Baranger, JF Maître - Numerische Mathematik, 1998 - Springer
Résumé On propose une généralisation de l'estimateur a posteriori hiérarchique de Bank-
Weiser aux formulation mixtes, dans le cas d'approximations conformes et non conformes …
Weiser aux formulation mixtes, dans le cas d'approximations conformes et non conformes …
A new analytical framework for the convergence of inexact two-grid methods
X Xu, CS Zhang - SIAM Journal on Matrix Analysis and Applications, 2022 - SIAM
Two-grid methods with exact solution of the Galerkin coarse-grid system have been well
studied by the multigrid community: an elegant identity has been established to characterize …
studied by the multigrid community: an elegant identity has been established to characterize …