Robust Multi-Grid Methods (eBook)

A robust preconditioner based on algebraic substructuring and two-level grids.- Adaptive multigrid Solution of the convection-diffusion equation on the DIRMU multiprocessor.- Finite volume multigrid Solutions of the two-dimensional incompressible Navier-Stokes equations.- Concepts for a dimension independent application of multigrid algorithms to semiconductor device Simulation.- Algebraic multigrid methods and the Schur complement.- A multigrid method for steady Euler equations, based on flux-difference Splitting with respect to primitive variables.- Treatment of singular perturbation problems with multigrid methods.- The frequency decomposition multi-grid algorithm.- On global multigrid convergence for nonlinear problems.- Multigrid methods for the Solution of the compressible Navier-Stokes equations..- On multigrid methods of the first kind for Symmetrie boundary integral equations of nonnegative order.- Effective preconditioning for spectral multigrid methods.- Numerical Solution of transonic potential flow in 2d compressor cascades using multi-grid techniques.- Local mode smoothing analysis of various incomplete factorization iterative methods.- Multigrid and defect correction for the steady Navier-Stokes equations.- Towards multigrid acceleration of 2d compressible Navier-Stokes finite volume implicit schemes..- Multigrid with ILU-smoothing: systematic tests and improvements.- Multilevel preconditioning matrices and multigrid V-cycle methods.- Two remarks on multigrid methods.- On the robustness of ILU-smoothing.- List of participants.