Overview

This volume contains 23 contributions to the 10th GAMM-Seminar, which was held in Kiel on the 14-16 of January 1994. The central topics are advanced numerical techniques for solving flow problems. The Navier-Stokes equations are discussed with respect to anisotropically refined meshes, in combination with non-equilibrium chemistry and with respect to implicit time-discretizations and parallel solvers. Furthermore, robust multi-grid methods are described for this problem. Five papers are devoted to parallel algorithms, and a further one to domain decomposition techniques. The very important aspect of adaptive strategies is considered in several contributions, including a discussion of appropriate error estimators. Other subjects are the FEM-BEM coupling, convection-dominated systems, unstructured grid techniques and complex geometries in 3-D.

Full Product Details

Author:   Wolfgang Hackbusch ,  Gabriel Wittum
Publisher:   Springer Fachmedien Wiesbaden
Imprint:   Vieweg+Teubner Verlag
Edition:   Softcover reprint of the original 1st ed. 1995
Volume:   v. 49
Dimensions:   Width: 15.50cm , Height: 1.60cm , Length: 23.50cm
Weight:   0.468kg
ISBN:  

9783528076498

ISBN 10:   3528076496
Pages:   292
Publication Date:   01 January 1995
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Language:   German

Table of Contents

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.

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