Moving Finite Elements

By: M. J. Baines

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Hardcover | 1 December 1994

At a Glance

Hardcover
244 Pages

Dimensions(cm)
23.39 x 15.6 x 1.42

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This book is mainly concerned with finite element methods for time-dependent partial differential equations when the grids are allowed to move in time, but also describes grid generation techniques which include grid adjustment. The mechanism for grid movement derives from a generalization of the residual minimization technique which is familiar from the Galerkin finite element method. The book brings together most of the work done over the last decade or so which has been stimulated by Miller's original idea, and discusses the interrelationships between the techniques of the method and the established ideas of the method of characteristics, Hamilton's equations, the Legendre transformation, and grid equidistribution. The book highlights the issues involved and should provide the reader with a clear view of the current state of the subject and prompt further research.

Industry Reviews

`The book is easy to read and is written at an elementary level. It is a good introduction to MFEs for students who have had an introductory course in numerical methods for PDEs.' D Hicks, Computing Reviews, July 1996

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The MFE Method of Miller
Transformations and Steep Fronts
Exact Semi-Discrete MFE Solutions
MFE in 1-D: First-order Equations
MFE in 1-D: Second-order Equations
MFE in Higher Dimensions
Results from the MFE Method
The Role of the MFE Method
Best Fits with Adjustable Nodes
MFE and Moving Best Fits
Discussion and Conclusion
Table of Contents provided by Publisher. All Rights Reserved.

Moving Finite Elements

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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