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[00676] Recent Advances in 2-Lagrange Multiplier Method for Multiscale PDEs

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @E709
  • Type : Contributed Talk
  • Abstract : The heterogeneous 2LM method, introduced in Loisel et al., SIAM J. Sci. Comput., 37, 2015, is a domain decomposition method where the coarse space is built using eigenvectors associated with subdomain eigenproblems. In this talk, we provide a new a-priori estimate for the norm of the coarse problem to guarantee further that the method is robust w.r.t the changes in the contrast of the diffusion coefficient. Numerical results are provided to support the theoretical findings.
  • Classification : 65N55, 65F10, 65N30, 65N22
  • Format : Talk at Waseda University
  • Author(s) :
    • Hieu Nguyen (Fulbright University Vietnam)
    • Sébastien Loisel (Heriot-Watt University)