The Finite Element Method for Initial Value Problems : Mathematics and Computations Hardback
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.
- Format: Hardback
- Pages: 630 pages, 75 Illustrations, color; 75 Illustrations, black and white
- Publisher: Taylor & Francis Ltd
- Publication Date: 11/10/2017
- Category: Engineering: general
- ISBN: 9781138576377