Scientific Computing in Optimization, Simulation and Inversion

  • Hansen, Per Christian (Project Manager)
  • Hansen, Per Christian (Project Participant)
  • Madsen, Kaj (Project Participant)
  • Clausen, Jens (Project Participant)
  • Skelboe, Stig (Project Participant)

    Project Details

    Description

    The goal of this research collaboration is to strengthen our research
    in scientific computing and algorithm development with emphasis on
    nonlinear and combinatorial optimization, simulation, and inversion.
    Among the most promising algorithms today are those based on various
    splitting techniques for subdivision of the problem as well as the
    algorithm, and there is a significant overlap between the splitting
    techniques currently in use within the above areas.
    In this project we will coordinate the algorithm development within
    our specific research areas and thus be able to draw collectively
    upon progress in the individual areas. The focus of our research will
    lie on the following areas: 1) new splitting techniques for
    branch-and-bound algorithms in optimization, 2) space-mapping
    techniques for complex optimization problems, 3) application of domain
    decomposition and approximation theory in simulation algorithms,
    4) preconditioning techniques (based on domain decomposition and
    multilevel algorithms) for inversion algorithms, 5) methods for
    including prior knowledge/side constraints in linear and nonlinear
    inversion algorithms.
    StatusFinished
    Effective start/end date01/12/200031/12/2002