The Finite Element Method for Initial Value Problems: Mathematics and Computations

By Karan S Surana, J. N. Reddy, J.N. Reddy

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: Hardcover
• Language: English
• ISBN: 1138576379
• ISBN13: 9781138576377
• Release Date: October 2017
• Publisher: CRC Press
• Length: 630 Pages
• Weight: 2.87 lbs.
• Dimensions: 1.4" x 7.0" x 10.0"