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[02112] Adaptive Virtual Element Methods: convergence and optimality

  • Session Time & Room : 4D (Aug.24, 15:30-17:10) @E711
  • Type : Contributed Talk
  • Abstract : We consider a Virtual Element discretization of elliptic boundary-value problems, using triangular or quadrilateral meshes with hanging nodes of arbitrary, but fixed, maximal index. We design a two-stage adaptive algorithm, based on a stabilization-free a posteriori error estimator, which alternates data approximation and solution approximation with increasing accuracy. We prove the convergence of the inner and outer loops, we establish the optimality of the adaptive procedure in suitable approximation classes, and we provide numerical results.
  • Classification : 65N30, 65N50
  • Format : Talk at Waseda University
  • Author(s) :
    • Claudio Canuto (Politecnico di Torino)
    • Lourenco Beirao da Veiga (University of Milan Bicocca)
    • Ricardo H Nochetto (University of Maryland)
    • Giuseppe Vacca (University of Bari)
    • Marco Verani (Politecnico di Milano)