Author: Stephen F. Mccormick Publisher: CRC Press ISBN: 1000147223 Category : Mathematics Languages : en Pages : 668
Book Description
This book is a collection of research papers on a wide variety of multigrid topics, including applications, computation and theory. It represents proceedings of the Third Copper Mountain Conference on Multigrid Methods, which was held at Copper Mountain, Colorado.
Author: HACKBUSCH Publisher: Birkhäuser ISBN: 3034857128 Category : Science Languages : en Pages : 394
Book Description
These proceedings contain a selection of papers presented at the Third European Conference on Multigrid Methods which was held in Bonn on October 1-4, 1990. Following conferences in 1981 and 1985, a platform for the presentation of new Multigrid results was provided for a third time. Multigrid methods no longer have problems being accepted by numerical analysts and users of numerical methods; on the contrary, they have been further developed in such a successful way that they have penetrated a variety of new fields of application. The high number of 154 participants from 18 countries and 76 presented papers show the need to continue the series of the European Multigrid Conferences. The papers of this volume give a survey on the current Multigrid situation; in particular, they correspond to those fields where new developments can be observed. For example, se veral papers study the appropriate treatment of time dependent problems. Improvements can also be noticed in the Multigrid approach for semiconductor equations. The field of parallel Multigrid variants, having been started at the second European Multigrid Conference, is now at the centre of interest.
Author: P. W. Hemker Publisher: Springer Science & Business Media ISBN: 9783764350307 Category : Mathematics Languages : en Pages : 376
Book Description
I Invited Papers.- 1 On Robust and Adaptive Multi-Grid Methods.- 2 A Generalized Multigrid Theory in the Style of Standard Iterative Methods.- 3 Turbulence Modelling as a Multi-Level Approach.- 4 The Frequency Decomposition Multi-Grid Method.- 5 Multiscale Methods for Computing Propagators in Lattice Gauge Theory.- 6 Adaptive Multigrid on Distributed Memory Computers.- 7 Multicomputer-Multigrid Solution of Parabolic Partial Differential Equations.- 8 Multilevel Solution of Integral and Integro-differential Equations in Contact Mechanics and Lubrication.- Contributed Papers.- 1 A Multi-Grid Method for Calculation of Turbulence and Combustion.- 2 On a Multi-Grid Algorithm for the TBA Equations.- 3 A Multidimensional Upwind Solution Adaptive Multigrid Solver for Inviscid Cascades.- 4 Parallel Steady Euler Calculations using Multigrid Methods and Adaptive Irregular Meshes.- 5 Multigrid Methods for Steady Euler Equations Based on Multi-stage Jacobi Relaxation.- 6 Multigrid and Renormalization for Reservoir Simulation.- 7 Interpolation and Related Coarsening Techniques for the Algebraic Multigrid Method.- 8 Parallel Point-oriented Multilevel Methods.- 9 Large Discretization Step (LDS) Methods For Evolution Equations.- 10 A Full Multigrid Method Applied to Turbulent Flow using the SIM-PLEC Algorithm Together with a Collocated Arrangement.- 11 Multigrid Methods for Mixed Finite Element Discretizations of Variational Inequalities.- 12 Multigrid with Matrix-dependent Transfer Operators for Convection-diffusion Problems.- 13 Multilevel, Extrapolation, and Sparse Grid Methods.- 14 Robust Multi-grid with 7-point ILU Smoothing.- 15 Optimal Multigrid Method for Inviscid Flows.- 16 Multigrid Techniques for Simple Discretely Divergence-free Finite Element Spaces.- 17 Grid-independent Convergence Based on Preconditioning Techniques.- 18 A New Residual Smoothing Method for Multigrid Acceleration Applied to the Navier-Stokes Equations.
Author: Alain Dervieux Publisher: Springer Science & Business Media ISBN: 3322878759 Category : Technology & Engineering Languages : en Pages : 369
Book Description
The numerical simulation of the Euler equations of Fluid Dynamics has been these past few years a challenging problem both for research scientists and aerospace engineers. The increasing interest of more realistic models such as the Euler equations originates in Aerodynamics and also Aerothermics where aerospace applications such as military aircrafts and also space vehicles require accurate and efficient Euler solvers (which can be extended to more complicated modelisations including non-equilibrium chemistry) for su personic and hypersonic flows at high angles of attack and Mach number regimes involving strong shocks and vorticity. This book contains the proceedings of the GAMM Workshop on the Numerical Simu lation of Compressible Euler Flows. that W:LS held at INRIA, Rocquencourt (France), on June 10-13, 1986. The purpose of this event was to compare in terms of accuracy and efficiency several codes for solving compressible inviscid, mainly steady, Euler flows. This workshop was a sequel of the GAMM workshop held in 1979 in Stockholm; this time, though, because of the present strong activity in numerical methods for the Euler equat.ions, the full-potential approach was not included. Since 1979, other Eulpr workshops have been organised, sev eral of them focussed on airfoil calculations; however, many recently derived methods were not presented at these workshops, because, among other reasons, the methods were not far enough developed, or had not been applied to flow problems of sufficient complexity. In fact, the 1986 GAMM workshop scored very high as regards to the novelty of methods.
Author: Wolfgang Hackbusch Publisher: Springer Science & Business Media ISBN: 3642587348 Category : Mathematics Languages : en Pages : 344
Book Description
This volume contains a selection from the papers presented at the Fifth European Multigrid Conference, held in Stuttgart, October 1996. All contributions were carefully refereed. The conference was organized by the Institute for Computer Applications (ICA) of the University of Stuttgart, in cooperation with the GAMM Committee for Scientific Computing, SFB 359 and 404 and the research network WiR Ba-Wü. The list of topics contained lectures on Multigrid Methods: robustness, adaptivity, wavelets, parallelization, application in computational fluid dynamics, porous media flow, optimisation and computational mechanics. A considerable part of the talks focused on algebraic multigrid methods.
Author: Josef Ballmann Publisher: Springer Science & Business Media ISBN: 3322878694 Category : Technology & Engineering Languages : en Pages : 729
Book Description
On the occasion of the International Conference on Nonlinear Hyperbolic Problems held in St. Etienne, France, 1986 it was decided to start a two years cycle of conferences on this very rapidly expanding branch of mathematics and it·s applications in Continuum Mechanics and Aerodynamics. The second conference toolc place in Aachen, FRG, March 14-18, 1988. The number of more than 200 participants from more than 20 countries all over the world and about 100 invited and contributed papers, well balanced between theory, numerical analysis and applications, do not leave any doubt that it was the right decision to start this cycle of conferences, of which the third will be organized in Sweden in 1990. ThiS volume contains sixty eight original papers presented at the conference, twenty two cif them dealing with the mathematical theory, e.g. existence, uniqueness, stability, behaviour of solutions, physical modelling by evolution equations. Twenty two articles in numerical analysis are concerned with stability and convergence to the physically relevant solutions such as schemes especially deviced for treating shoclcs, contact discontinuities and artificial boundaries. Twenty four papers contain multidimensional computational applications to nonlinear waves in solids, flow through porous media and compressible fluid flow including shoclcs, real gas effects, multiphase phenomena, chemical reactions etc. The editors and organizers of the Second International Conference on Hyperbolic Problems would lilce to thanlc the Scientific Committee for the generous support of recommending invited lectures and selecting the contributed papers of the conference.
Author: Nigel P. Weatherill Publisher: Springer Science & Business Media ISBN: 3322878813 Category : Technology & Engineering Languages : en Pages : 332
Book Description
Computational Fluid Dynamics research, especially for aeronautics, continues to be a rewarding and industrially relevant field of applied science in which to work. An enthusiastic international community of expert CFD workers continue to push forward the frontiers of knowledge in increasing number. Applications of CFD technology in many other sectors of industry are being successfully tackled. The aerospace industry has made significant investments and enjoys considerable benefits from the application of CFD to its products for the last two decades. This era began with the pioneering work ofMurman and others that took us into the transonic (potential flow) regime for the first time in the early 1970's. We have also seen momentous developments of the digital computer in this period into vector and parallel supercomputing. Very significant advances in all aspects of the methodology have been made to the point where we are on the threshold of calculating solutions for the Reynolds-averaged Navier-Stokes equations for complete aircraft configurations. However, significant problems and challenges remain in the areas of physical modelling, numerics and computing technology. The long term industrial requirements are captured in the U. S. Governments 'Grand Challenge' for 'Aerospace Vehicle Design' for the 1990's: 'Massively parallel computing systems and advanced parallel software technology and algorithms will enable the development and validation of multidisciplinary, coupled methods. These methods will allow the numerical simulation and design optimisation of complete aerospace vehicle systems throughout the flight envelope'.
Author: Stephen F. Mccormick
Author: HACKBUSCH
Author: Wolfgang Hackbusch
Author: P. W. Hemker
Author: Ulrich Trottenberg
Author: Alain Dervieux
Author: Wolfgang Hackbusch
Author: Josef Ballmann
Author: Fathi Habashi
Author: Nigel P. Weatherill