Moving Finite Elements

by M. J. Baines

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.

Product Details

ISBN-13:	9780198534679
Publisher:	Oxford University Press
Publication date:	01/19/1995
Series:	Numerical Mathematics and Scientific Computation
Edition description:	New Edition
Pages:	240
Product dimensions:	6.31(w) x 9.50(h) x 0.77(d)

About the Author

University of Reading

Table of Contents

1. The MFE Method of Miller2. Transformations and Steep Fronts3. Exact Semi-Discrete MFE Solutions4. MFE in 1-D: First-order Equations5. MFE in 1-D: Second-order Equations6. MFE in Higher Dimensions7. Results from the MFE Method8. The Role of the MFE Method9. Best Fits with Adjustable Nodes10. MFE and Moving Best Fits11. Discussion and Conclusion

Editorial Reviews

"The author has brought together work published over the last twelve years on the method of moving finite elements (MFE), a method for numerically solving partial differential equations where the grid moves adaptively as part of the solution." —Mathematical Reviews

From the Publisher