Section: Research Program

Overview

The research described here is directly relevant to several steps of the numerical simulation chain. Given a numerical simulation that was expressed as a set of differential equations, our research focuses on mesh generation methods for parallel computation, novel numerical algorithms for linear algebra, as well as algorithms and tools for their efficient and scalable implementation on high performance computers. The validation and the exploitation of the results is performed with collaborators from applications and is based on the usage of existing tools. In summary, the topics studied in our group are the following:

• Numerical methods and algorithms

  • Mesh generation for parallel computation

  • Solvers for numerical linear algebra

    • Domain decomposition methods

    • Preconditioning for iterative methods

  • Computational kernels for numerical linear algebra

  • Tensor computations

• Validation on numerical simulations and other numerical applications