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[02620] Power contraction of RAS with local impedance problems for the Helmholtz equation

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @E709
  • Type : Contributed Talk
  • Abstract : The Helmholtz equation is notoriously difficult to solve, especially for the case of high wavenumber. The Restricted Additive Schwarz preconditioner with local impedance problems, often called the ORAS method, is arguably the most successful one-level parallel method for Helmholtz problems. This preconditioner can be applied on very general geometries, does not require parameter-tuning, and can even be robust to increasing wavenumber. To date, there is relatively little convergence analysis for this method. In the talk, I will present a novel analysis of the ORAS method.
  • Classification : 65N55
  • Format : Talk at Waseda University
  • Author(s) :
    • Shihua Gong (The Chinese University of Hong Kong, Shenzhen)