Preconditioning discrete approximations of the Reissner-Mindlin plate model
Preconditioning eigensolvers – an Oxymoron?
Preconditioning Indefinite Discretization Matrices.
Preconditioning of conjugate gradients by multigrid solver
Solving a system of linear algebraic equations by the preconditioned conjugate gradient method requires to solve an auxiliary system of linear algebraic equations in each step. In this paper instead of solving the auxiliary system one iteration of the two level method for the original system is done.
Preconditioning of nonsymmetric saddle point systems as arising in modelling of viscoelastic problems.
Preconditioning of two-by-two block matrix systems with square matrix blocks, with applications
Two-by-two block matrices of special form with square matrix blocks arise in important applications, such as in optimal control of partial differential equations and in high order time integration methods. Two solution methods involving very efficient preconditioned matrices, one based on a Schur complement reduction of the given system and one based on a transformation matrix with a perturbation of one of the given matrix blocks are presented. The first method involves an additional inner solution...
Preconditioning P1 nonconforming finite elements: condition numbers and singular value distributions.
Preconditioning strategies for 2D finite difference matrix sequences.
Preconditionings and Splittings for Rectangular Systems.
Présentation de synthèse des méthodes de gradient conjugué
Presentation geometrique des methodes de calcul des valeurs propres.
Probability against condition number and sampling of multivariate trigonometric random polynomials.
Probing methods for saddle-point problems.
Produits rapides matrice-vecteur en bases d'ondelettes : application à la résolution numérique d'équations aux dérivés partielles
Projection Method for Solving a Singular System of Linear Equations and its Applications.
Proposition de préconditionneurs pseudo-différentiels pour l’équation CFIE de l’électromagnétisme
We present a weak parametrix of the operator of the CFIE equation. An interesting feature of this parametrix is that it is compatible with different discretization strategies and hence allows for the construction of efficient preconditioners dedicated to the CFIE. Furthermore, one shows that the underlying operator of the CFIE verifies an uniform discrete Inf-Sup condition which allows to predict an original convergence result of the numerical solution of the CFIE to the exact one.
Proposition de préconditionneurs pseudo-différentiels pour l'équation CFIE de l'électromagnétisme
On exhibe dans cette note une paramétrix (au sens faible) de l'opérateur sous-jacent à l'équation CFIE de l'électromagnétisme. L'intérêt de cette paramétrix est de se prêter à différentes stratégies de discrétisation et ainsi de pouvoir être utilisée comme préconditionneur de la CFIE. On montre aussi que l'opérateur sous-jacent à la CFIE satisfait une condition Inf-Sup discrète uniforme, applicable aux espaces de discrétisation usuellement rencontrés en électromagnétisme, et qui permet d'établir...
Pseudoblock conditions of diagonal dominance.
Pseudoinverse formulation of Rayleigh-Schrödinger perturbation theory for the symmetric matrix eigenvalue problem.
QMR: a quasi-minimal residual method for non-Hermitian linear systems.