Moving Finite Elements
by
M. J. Baines
Book Details
Format
Hardback
Book Series
Numerical Mathematics and Scientific Computation
ISBN-10
0198534671
ISBN-13
9780198534679
Publisher
Oxford University Press
Imprint
Clarendon Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Dec 1st, 1994
Print length
240 Pages
Weight
501 grams
Dimensions
24.00 x 16.10 x 1.90 cms
Product Classification:
Numerical analysisMaths for scientistsMaths for engineers
KSh 22,150.00
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Brings together much work that has appeared from 1984 to 1994 in the general area of adaptive numerical solution of partial differential equations insofar as it bears on and has been stimulated by the MFE idea.
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.
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