Total
 overlapping Schwarz' 
 preconditioners   for elliptic problems

Faker Ben Belgacem; Nabil Gmati; Faten Jelassi

Displaying similar documents to “Total overlapping Schwarz' preconditioners for elliptic problems”

Total overlapping Schwarz' preconditioners for elliptic problems

Faker Ben Belgacem, Nabil Gmati, Faten Jelassi (2011)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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A variant of the Total Overlapping Schwarz (TOS) method has been introduced in [Ben Belgacem , 336 (2003) 277–282] as an iterative algorithm to approximate the absorbing boundary condition, in unbounded domains. That same method turns to be an efficient tool to make numerical zooms in regions of a particular interest. The TOS method enjoys, then, the ability to compute small structures one wants to capture and the reliability to obtain the behavior of the solution at infinity, when...

Convergence of gradient-based algorithms for the Hartree-Fock equations

Antoine Levitt (2012)

ESAIM: Mathematical Modelling and Numerical Analysis

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The numerical solution of the Hartree-Fock equations is a central problem in quantum chemistry for which numerous algorithms exist. Attempts to justify these algorithms mathematically have been made, notably in [E. Cancès and C. Le Bris, (2000) 749–774], but, to our knowledge, no complete convergence proof has been published, except for the large- result of [M. Griesemer and F. Hantsch, (2011) 170]. In this paper, we prove...

A matching of singularities in domain decomposition methods for reaction-diffusion problems with discontinuous coefficients

Chokri Chniti (2011)

ESAIM: Mathematical Modelling and Numerical Analysis

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In this paper we certify that the same approach proposed in previous works by Chniti [ (2006) 883–886; (2008) 111–147; (2009) 207–228] can be applied to more general operators with strong heterogeneity in the coefficients. We consider here the case of reaction-diffusion problems with piecewise constant coefficients. The problem reduces to determining the coefficients of some transmission conditions to obtain fast convergence of domain...