Multiphysics coupling

Advanced numerical discretization methods

  • Department of Mathematics, University College London (E. Burman) and Laboratoire Jacques-Louis Lions, Sorbonne University (G. Delay), high-order discretization of ill-posed problems related to data assimilation, HHO methods for wave propagation, high-order discretization using immersed meshes
  • Department of Mathematics, Texas A&M (J.-L. Guermond), invariant-domain preserving methods for hyperbolic problems and spectral correctness of discontinuous Galerkin methods
  • Inria RAPSODI (T. Chaumont-Frelet), p-stable piecewise polynomial reconstructions in the de Rham sequence, Helmholtz and Maxwell problems in the frequency domain

Domain decomposition & Newton–Krylov (multigrid) solvers

Reliability by a posteriori control

Safe and correct programming

  • LIPN, Paris-Nord University (M. Mayero): formal proofs of correctness

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