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pdf | 375.75 MB | English | Isbn: 9781351269988 | Author: Karan S. Surana, J. N. Reddy | Year: 2017
About ebook : The Finite Element Method for Initial Value Problems: Mathematics and Computations
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.
Category: Science & Technology, Engineering, Civil & Structural Engineering, Structural Engineering - General & Miscellaneous
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