Multilevel Adaptive Methods for Partial Differential Equations (Frontiers in Applied Mathematics, Series Number 6) - Softcover

McCormick, Stephen F.

Softcover

ISBN 10: 0898712475 ISBN 13: 9780898712476

Publisher: Society for Industrial and Applied Mathematics, 1987

Synopsis

A practical handbook for understanding and using fast adaptive composite grid (FAC) methods for discretization and solution of partial differential equations (PDEs). Contains fundamental concepts. These so-called FAC are characterized by their use of a composite grid, which is nominally the union of various uniform grids. FAC is capable of producing a composite grid with tailored resolution, and a corresponding solution with commensurate accuracy, at a cost proportional to the number of composite grid points. Moreover, special asynchronous versions of the fast adaptive composite grid methods (AFAC) studied here have seemingly optimal complexity in a parallel computing environment. Most of the methods treated in this book were discovered only within the last decade, and in many cases their development is still in its infancy. While this is not meant to be comprehensive, it does provide a theoretical and practical guide to multilevel adaptive methods and relevant discretization techniques.

About this title

Review:

'Throughout, the theory is well illustrated by numerical examples based on the finite volume element discretization of a model linear elliptic equation; a nonlinear elliptic system; and a linear diffusion equation. Although no actual code is given, specific numerical results are supplied.' Mark Ainsworth, Mathematical Reviews

About this edition

• Publisher: Society for Industrial and Applied Mathematics
• Publication date: 1987
• ISBN 10: 0898712475
• ISBN 13: 9780898712476
• Binding: Paperback
• Number of pages: 172