SS 4: Advances in preconditioned iterative methods: theory, implementation and applications (A) Methods and algorithms

Organizers

Abstract

The special session is devoted to various aspects of high performance preconditioning both from theoretical and practical point of view. This covers but is not limited to recent developments in algebraic multilevel, multigrid, auxiliary space, and domain decomposition algorithms for adaptive finite element methods and nonstandard discretizations. The main focus of the session is on the construction of efficient and robust preconditioners for ill-conditioned and nearly singular problems as well as on the performance, scalability, and convergence analysis of preconditioned iterative methods. Contributions in the field of quantum physics and continuum mechanics, for example problems in geophysics, are especially encouraged.

List of speakers

  • Maya Neytcheva (Uppsala, Sweden):
    Algebraic multilevel iteration methods in adaptive finite element framework
  • Nadir Bayramov (Linz, Austria):
    Error estimates and fast solution of convection-diffusion problems discretized by a monotone scheme
  • Maria Lymbery (Sofia, Bulgaria):
    ILUE preconditioning within auxiliary space multigrid methods
  • Qingguo Hong (Linz, Austria):
    Uniform stability analysis and robust iterative methods for discontinuous Galerkin discretization of the Brinkman problem

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