Fast Solvers for Flow Problems - Hackbusch, Wolfgang

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Résumé :
A Hierarchical Basis Multigrid Method for Unstructured Grids.- Structured Adaptive Finite-Volume Multigrid for Compressible Flows.- On the solution of nonlinear equations for nondifferentiable mappings.- Finite Element Solution of the Incompressible Navier-Stokes Equations on Anisotropically Refined Meshes.- Downwind Numbering : A Robust Multigrid Method for Convection-Diffusion Problems on Unstructured Grids.- A fast solver for gas flow networks.- On the Design of Piecewise Uniform Meshes for Solving Advection-Dominated Transport Equations to a Prescribed Accuracy.- Numerical Simulation of Three-dimensional Non-stationary Compressible Flow in Complex Geometries.- On the Numerical Simulation of Coupled Transient Problems on MIMD Parallel Systems.- Fast solvers for coupled FEM-BEM equations I.- Numerical Simulations of Compressible Navier-Stokes Equations with Nonequilibrium Chemistry.- Preconditioned CG - Like Methods and Defect Correction for Solving Steady Incompressible Navier - Stokes Equations.- A Domain Decomposition Method for Singularly Perturbed Elliptic Problems.- A parallel subspace decomposition method for elliptic and hyperbolic systems.- Implicit Time-Discretization of the Nonstationary Incompressible Navier-Stokes Equations.- Experiences with a parallel multiblock multigrid solution technique for the Euler equations.- A Coupled Algebraic Multigrid Method for the 3D Navier-Stokes Equations.- Robust Multigrid Methods for the Incompressible Navier-Stokes Equations.- A new robust multigrid method for 2D convection-diffusion problems.- Adapting Meshes by Deformation Numerical Examples and Applications.- Multigrid Convergence Rates of a Sequential and a Parallel Navier-Stokes Solver.- Parallel Iterative Solvers for Symmetric Boundary Element Domain Decomposition Methods.- The Equivalence of A Posteriori Error Estimators....

Biographie:
Arbeitsfeld des Autors: Diskretisierung partieller Differentialgleichungen, Diskretisierung von Integralgleichungen (Randelementmethoden), schnelle L?sung gro?er Gleichungssysteme, Mehrgittermethoden Auszeichnungen: Leibniz-Preis, Brouwer-Medaille...

Sommaire:
A Hierarchical Basis Multigrid Method for Unstructured Grids.- Structured Adaptive Finite-Volume Multigrid for Compressible Flows.- On the solution of nonlinear equations for nondifferentiable mappings.- Finite Element Solution of the Incompressible Navier-Stokes Equations on Anisotropically Refined Meshes.- Downwind Numbering : A Robust Multigrid Method for Convection-Diffusion Problems on Unstructured Grids.- A fast solver for gas flow networks.- On the Design of Piecewise Uniform Meshes for Solving Advection-Dominated Transport Equations to a Prescribed Accuracy.- Numerical Simulation of Three-dimensional Non-stationary Compressible Flow in Complex Geometries.- On the Numerical Simulation of Coupled Transient Problems on MIMD Parallel Systems.- Fast solvers for coupled FEM-BEM equations I.- Numerical Simulations of Compressible Navier-Stokes Equations with Nonequilibrium Chemistry.- Preconditioned CG - Like Methods and Defect Correction for Solving Steady Incompressible Navier - Stokes Equations.- A Domain Decomposition Method for Singularly Perturbed Elliptic Problems.- A parallel subspace decomposition method for elliptic and hyperbolic systems.- Implicit Time-Discretization of the Nonstationary Incompressible Navier-Stokes Equations.- Experiences with a parallel multiblock multigrid solution technique for the Euler equations.- A Coupled Algebraic Multigrid Method for the 3D Navier-Stokes Equations.- Robust Multigrid Methods for the Incompressible Navier-Stokes Equations.- A new robust multigrid method for 2D convection-diffusion problems.- Adapting Meshes by Deformation Numerical Examples and Applications.- Multigrid Convergence Rates of a Sequential and a Parallel Navier-Stokes Solver.- Parallel Iterative Solvers for Symmetric Boundary Element Domain Decomposition Methods.- The Equivalence of A Posteriori Error Estimators.