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Moving Finite Elements : Numerical Mathematics and Scientific Computation - M. J. Baines

Moving Finite Elements

By: M. J. Baines

Hardcover | 1 December 1994

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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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