Fast solvers for flow problems : proceedings of the Tenth GAMM-Seminar Kiel, January 14-16, 1994
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書誌事項
Fast solvers for flow problems : proceedings of the Tenth GAMM-Seminar Kiel, January 14-16, 1994
（Notes on numerical fluid mechanics, v. 49）
Vieweg, c1995
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内容説明・目次
内容説明
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.
目次
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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