NACHOS Research team

Numerical modeling and high performance computing for evolution problems in complex domains and heterogeneous media

Team presentation

The research activities of the project-team are concerned with the formulation, analysis and evaluation of numerical methods and high performance resolution algorithms for the computer simulation of evolution problems in complex domains and heterogeneous media. The resulting methodologies are applied to wave propagation problems pertaining to computational electromagnetics and computational geoseismics.

Research themes

  • Discretization methods
    • The physical and geometrical characteristics of the applications of interest to the project-team research activities motivate the design of accurate, efficient and robust discretization methods for the involved systems of PDEs. We concentrate on high-order (polynomial interpolation), non-conforming (h-, p- and hp-adaptivity) discontinuous finite element methods, formulated on triangulations (2D case) or tetrahedrizations (3D case) of the underlying computational domain. Furthermore, in order to allow for the simulation of realistic physical problems, we investigate the numerical treatment of complex material models in the framework of these discretization methods.
  • Time integration schemes
    • Explicit time integration schemes are subjected to stability conditions that become very restrictive when the underlying mesh is locally refined, especially in 3D. To overcome this problem, we study locally implicit schemes (hybrid explicit/implicit schemes) which possess advantageous stability and accuracy properties.
  • Resolution algorithms
    • The design of high performance resolution algorithms is an important aspect of the research activities of the project-team. In this respect, we study domain decomposition resolution algorithms, more precisely Schwarz algorithms based on optimized interface conditions adapted to the underlying PDE systems.
  • High performance computing
    • In view of the implementation of the resulting methodologies and the realization of large-scale numerical simulations, we study parallelization strategies that best exploit the characteristics of modern high performance computing architectures, in particular hybrid shared memory/distributed memory multi-processor/multi-core platforms.

    International and industrial relations

  • GéoSciences Azur laboratory (UMR 6526) in Sophia Antipolis. Ampere laboratory (UMR 5005) in Lyon.
  • France Telcom R&D, IOP (Interaction of electromagnetic wave with humans team), Issy-les-Moulineaux. CEA DAM, CESTA center, Le Barp.

  • Keywords: Computational electromagnetics

    Research teams of the same theme :

    • Inria Headquarters and research centres

    Direct links

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