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

Karan S. Surana, J. N. Reddy

October 11, 2017 by CRC Press
Textbook - 630 Pages - 75 Color & 75 B/W Illustrations
ISBN 9781138576377 - CAT# K43688

USD$189.95

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Features

  • Presents space-time coupled as well as decoupled finite element method for obtaining numerical solutions of IVPs
  • Unified and comprehensive treatment of IVPs provided in the book bridges the gap between mathematics and application-oriented writings
  • Intended for graduate level study of FEM for initial value problems
  • Provides self-contained study of FEM for IVPs requiring no supplementary reading or other reference material
  • Accompanied by a Solutions Manual and .pdf-based slides of all charts and illustrations for instructors

 

Summary

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.