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[02610] Discrete Tensor Product BGG Sequences: Splines and Finite Elements

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @E705
  • Type : Contributed Talk
  • Abstract : In this talk, we present a systematic discretization of the Bernstein-Gelfand-Gelfand diagrams and complexes over cubical meshes of arbitrary dimension via the use of tensor-product structures of one-dimensional piecewise-polynomial spaces, such as spline and finite element spaces. We demonstrate the construction of the Hessian, the elasticity, and div-div complexes as examples for our construction.
  • Classification : 65N99, 41A15, 41A63, 65N30
  • Format : Talk at Waseda University
  • Author(s) :
    • Duygu Sap (University of Oxford)
    • Kaibo Hu (University of Oxford)
    • Guido Kanschat (Heidelberg University)
    • Francesca Bonizzoni (Politecnico di Milano)