Multigrid techniques : 1984 guide with applications to fluid dynamics

• Main Author: Brandt, Achi.
• Other Authors: Livne, Oren E.
• Format: eBook
• Language: English
• Published: Philadelphia : Society for Industrial and Applied Mathematics, ©2011.
• Edition: Rev. ed.
• Series: Classics in applied mathematics ; 67.
• Subjects: Fluid dynamics > Mathematics.; Multigrid methods (Numerical analysis); Differential equations, Partial > Numerical solutions.; elektronické knihy; electronic books
• ISBN: 9781613443194; 1613443196; 9781611970753; 161197075X; 9781611970746; 1611970741
• Physical Description: 1 online resource (xix, 218 pages) : illustrations.
• Access: Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty

This classic text presents the best practices of developing multigrid solvers for large-scale computational problems in science and engineering. By representing a problem at multiple scales and employing suitable interscale interactions, multigrid avoids slowdown due to stiffness and reduces the computational cost of classical algorithms by orders of magnitude. Starting from simple examples, this book guides the reader through practical stages for developing reliable multigrid solvers, methodically supported by accurate performance predictors. The revised edition presents discretization and fast solution of linear and nonlinear partial differential systems; treatment of boundary conditions, global constraints and singularities; grid adaptation, high-order approximations, and system design optimization; applications to fluid dynamics, from simple models to advanced systems; new quantitative performance predictors, a MATLAB sample code, and more. Readers will also gain access to the Multigrid Guide 2.0 Web site, where updates and new developments will be continually posted, including a chapter on Algebraic Multigrid.