The Finite Element Method for Initial Value Problems

Mathematics and Computations

Nonfiction, Science & Nature, Science, Physics, Mechanics, Technology, Engineering, Mechanical
Cover of the book The Finite Element Method for Initial Value Problems by Karan S. Surana, J. N. Reddy, CRC Press
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Author: Karan S. Surana, J. N. Reddy ISBN: 9781351269988
Publisher: CRC Press Publication: October 17, 2017
Imprint: CRC Press Language: English
Author: Karan S. Surana, J. N. Reddy
ISBN: 9781351269988
Publisher: CRC Press
Publication: October 17, 2017
Imprint: CRC Press
Language: English

Unlike most finite element books that cover time dependent processes (IVPs) in a cursory manner, The Finite Element Method for Initial Value Problems: Mathematics and Computations focuses on the mathematical details as well as applications of space-time coupled and space-time decoupled finite element methods for IVPs. Space-time operator classification, space-time methods of approximation, and space-time calculus of variations are used to establish unconditional stability of space-time methods during the evolution. Space-time decoupled methods are also presented with the same rigor. Stability of space-time decoupled methods, time integration of ODEs including the finite element method in time are presented in detail with applications. Modal basis, normal mode synthesis techniques, error estimation, and a posteriori error computations for space-time coupled as well as space-time decoupled methods are presented. This book is aimed at a second-semester graduate level course in FEM.

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Unlike most finite element books that cover time dependent processes (IVPs) in a cursory manner, The Finite Element Method for Initial Value Problems: Mathematics and Computations focuses on the mathematical details as well as applications of space-time coupled and space-time decoupled finite element methods for IVPs. Space-time operator classification, space-time methods of approximation, and space-time calculus of variations are used to establish unconditional stability of space-time methods during the evolution. Space-time decoupled methods are also presented with the same rigor. Stability of space-time decoupled methods, time integration of ODEs including the finite element method in time are presented in detail with applications. Modal basis, normal mode synthesis techniques, error estimation, and a posteriori error computations for space-time coupled as well as space-time decoupled methods are presented. This book is aimed at a second-semester graduate level course in FEM.

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