Block incremental unknowns for anisotropic elliptic equations

Authors:
A. Miranville;A. C. Muresan
Affiliations:
Université de Poitiers, SP2MI, Laboratoire d' Applications des Mathématiques, Boulevard Marie et Pierre Curie-Téléport 2, BP 30179, 86962 Chasseneuil Futuroscope cedex, France;Romanian Academy of Sciences, "T. Popoviciu" Institute of Numerical Analysis, P.O. Box 68, 3400 Cluj-Napoca, Romania
Venue:
Applied Numerical Mathematics
Year:
2002

Citing 8
Cited 1

On the multi-level splitting of finite element spaces

Numerische Mathematik
Nonlinear Galerkin methods

SIAM Journal on Numerical Analysis
Inertial manifolds and multigrid methods

SIAM Journal on Mathematical Analysis
Incremental unknowns for solving partial differential equations

Numerische Mathematik
Incremental unknowns in finite differences: condition number of the matrix

SIAM Journal on Matrix Analysis and Applications
Incremental unknowns for convection-diffusion equations

Applied Numerical Mathematics
Algebraic Analysis of the Hierarchical Basis Preconditioner

SIAM Journal on Matrix Analysis and Applications
Solution of generalized Stokes problems using hierarchical methods and incremental unknowns

Applied Numerical Mathematics

Bi-parameter incremental unknowns ADI iterative methods for elliptic problems

Numerical Algorithms

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this article, we define the notion of block incremental unknowns for anisotropic elliptic equations. Written in a block structure, they are nothing more than the classical second order incremental unknowns in one space dimension. In particular, we obtain a priori estimates and we observe a significant gain in the condition number for stiff problems when compared with the classical two-dimensional second order incremental unknowns.