The Finite Element Method For Initial Value Problems

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    The Finite Element Method for Initial Value Problems
    Mathematics and Computations
    By: Karan S. Surana; J. N. Reddy
    Publisher:
    CRC Press
    Print ISBN: 9781138576377, 1138576379
    eText ISBN: 9781351269988, 1351269984
    Edition: 1st
    Copyright year: 2018
    Format: EPUB
    Available from $ 80.00 USD
    SKU 9781351269988R90
    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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