Moving Finite Elements

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Overview

Bringing together a decade's worth of research stimulated by Miller's original idea of moving finite elements, this important book discusses the interrelationship between the techniques and the theories regarding the method of characteristics, Hamilton's equations, the Legendre transformation, and grid equidistribution. Throughout, the important issues are cogently highlighted, cutting-edge research developments are detailed, and areas for future research are discussed. Students, teachers, and researchers in applied mathematics, numerical analysis, engineering, and the computational sciences will want to read this book.

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Product Details

Table of Contents

1 The MFE Method of Miller 1
2 Transformations and Steep Fronts 23
3 Exact Semi-Discrete MFE Solutions 41
4 MFE in 1-D: First-order Equations 61
5 MFE in 1-D: Second-order Equations 80
6 MFE in Higher Dimensions 96
7 Results from the MFE Method 117
8 The Role of the MFE Method 139
9 Best Fits with Adjustable Nodes 149
10 MFE and Moving Best Fits 185
11 Discussion and Conclusion 201
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