Multiphysics coupling
- Center for Subsurface Modeling, University of Texas at Austin (G. Pencheva, M. Wheeler): multiphase multicomponent porous media flows
- ENPC and Inria MATHERIALS (V. Ehrlacher), reduced-order models for nonlinear mechanics
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
- Inria ALPINES: domain decomposition methods and preconditioners
- LAGA, Paris-Nord University (L. Halpern and P. Omnes) and University of Geneva (M. Gander): space-time domain decomposition algorithms
- Maison de la Simulation: parallel high-scale computing
- Department of Numerical Mathematics, Technical University München (B. Wohlmuth): bounds for algebraic errors
Reliability by a posteriori control
- Laboratoire Jacques-Louis Lions, Sorbonne University (Y. Maday): a posteriori error estimates for eigenvalue problems
- Department of Numerical Mathematics, Charles University Prague (V. Dolejší, J. Málek, Z. Strakoš): adaptivity for implicit constitutive laws
- Department of Mathematics, University College London (I. Smears): a posteriori error estimates for singularly perturbed and nonlinear problems
Safe and correct programming
- LIPN, Paris-Nord University (M. Mayero): formal proofs of correctness
