Higher-Order Finite Element Methods (Studies in Advanced Mathematics) - Hardcover
Book 6 of 23: Studies in advanced Mathematics
Synopsis
The finite element method has always been a mainstay for solving engineering problems numerically. The most recent developments in the field clearly indicate that its future lies in higher-order methods, particularly in higher-order hp-adaptive schemes. These techniques respond well to the increasing complexity of engineering simulations and satisfy the overall trend of simultaneous resolution of phenomena with multiple scales.
Higher-Order Finite Element Methods provides an thorough survey of intrinsic techniques and the practical know-how needed to implement higher-order finite element schemes. It presents the basic priniciples of higher-order finite element methods and the technology of conforming discretizations based on hierarchic elements in spaces H^1, H(curl) and H(div). The final chapter provides an example of an efficient and robust strategy for automatic goal-oriented hp-adaptivity.
Although it will still take some time for fully automatic hp-adaptive finite element methods to become standard engineering tools, their advantages are clear. In straightforward prose that avoids mathematical jargon whenever possible, this book paves the way for fully realizing the potential of these techniques and putting them at the disposal of practicing engineers.
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About the Author
Pavel Solin, Karel Segeth, Ivo Dolezel
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Condition: New. Pavel Solin, Karel Segeth, Ivo DolezelThe finite element method has always been a mainstay for solving engineering problems numerically. The most recent developments in the field clearly indicate that its future lies in higher-order methods, part. Seller Inventory # 596344997
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Higher-Order Finite Element Methods
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Taylor & Francis Inc Jul 2003, 2003
ISBN 10: 158488438X
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Buch. Condition: Neu. Neuware - Higher-Order Finite Element Methods provides an exhaustive survey of intrinsic techniques and practical implementation of higher-order finite element schemes. It addresses automatic hp-adaptivity in one and two spatial dimensions and includes up-to-date references to ongoing research related to automatic hp-adaptivity in 3D. The authors' discussion of suitable data structures and efficient linear solvers provides an excellent introduction to key, often neglected aspects of this class of methods. Avoiding heavy mathematical jargon where possible, the book is clear, comprehensive, and designed for both applied mathematicians and engineers who are interested in finite elements. Seller Inventory # 9781584884385