• xmlui.mirage2.page-structure.header.title
    • français
    • English
  • Help
  • Login
  • Language 
    • Français
    • English
View Item 
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesTypeThis CollectionBy Issue DateAuthorsTitlesType

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors
Thumbnail - No thumbnail

On the method of reflections

Laurent, Philippe; Legendre, Guillaume; Salomon, Julien (2017), On the method of reflections. https://basepub.dauphine.fr/handle/123456789/17127

Type
Document de travail / Working paper
External document link
https://hal.archives-ouvertes.fr/hal-01439871
Date
2017
Series title
Cahier de recherche CEREMADE, Université Paris-Dauphine
Pages
24
Metadata
Show full item record
Author(s)
Laurent, Philippe
Legendre, Guillaume
Salomon, Julien
Abstract (EN)
This paper aims at reviewing and analysing the method of reflections. The latter is an iterative procedure designed to linear boundary value problems set in multiply connected domains. Being based on a decomposition of the domain boundary, this method is particularly well-suited to numerical solvers relying on integral representation formulas. For the parallel and sequential forms of the method appearing in the literature, we propose a general abstract formulation in a given Hilbert setting and interpret the procedure in terms of subspace corrections. We then prove the unconditional convergence of the sequential form and propose a modification of the parallel one that makes it unconditionally converging. An alternative proof of convergence is provided in a case which does not fit into the previous framework. We finally present some numerical tests.
Subjects / Keywords
method of reflections

Related items

Showing items related by title and author.

  • Thumbnail
    On the method of reflections 
    Laurent, Philippe; Legendre, Guillaume; Salomon, Julien (2021) Article accepté pour publication ou publié
  • Thumbnail
    A monotonic algorithm for the optimal control of the Fokker-Planck equation 
    Carlier, Guillaume; Salomon, Julien (2008) Communication / Conférence
  • Thumbnail
    Analysis of the Toolkit method for the time-dependant Schrödinger equation 
    Baudouin, Lucie; Salomon, Julien; Turinici, Gabriel (2011) Article accepté pour publication ou publié
  • Thumbnail
    A Reduced Basis Method for the Simulation of American Options 
    Wohlmuth, Barbara; Salomon, Julien; Haasdonk, Bernard (2013) Communication / Conférence
  • Thumbnail
    Control through operators for quantum chemistry 
    Rabitz, Herschel; Laurent, Philippe; Salomon, Julien; Turinici, Gabriel (2012) Communication / Conférence
Dauphine PSL Bibliothèque logo
Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16
Phone: 01 44 05 40 94
Contact
Dauphine PSL logoEQUIS logoCreative Commons logo