Multilevel Adaptive Methods for Partial Differential Equations

McCormick, Stephen F.

ISBN 10: 0898712475 / ISBN 13: 9780898712476

Published by Society for Industrial and Applied Mathematics, 1987

Unread book in perfect condition. Seller Inventory # 1214174

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.

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

Bibliographic Details

Title: Multilevel Adaptive Methods for Partial ...
Publisher: Society for Industrial and Applied Mathematics
Publication Date: 1987
Binding: Soft cover
Condition: As New