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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M. J. Baines is at University of Reading.
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Hardcover. Condition: new. Hardcover. 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 whichhas 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'sequations, 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. This book clarifies the status of Moving Finite Elements and their relationship to existing methods, providing indications of their potential for high resolution and economy. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780198534679
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