1st Edition

Introduction to Approximate Solution Techniques, Numerical Modeling, and Finite Element Methods

By Victor N. Kaliakin Copyright 2002
664 Pages
by CRC Press

664 Pages
by CRC Press

Functions as a self-study guide for engineers and as a textbook for nonengineering students and engineering students, emphasizing generic forms of differential equations, applying approximate solution techniques to examples, and progressing to specific physical problems in modular, self-contained chapters that integrate into the text or can stand alone! This reference/text focuses on classical... Read more
Governing equations and their approximate solution; computer storage and manipulation of numbers; the finite difference method; the method of weighted residuals; variational methods; introduction to the finite element method; development of finite element equations; steps in performing finite element analysis; element interpolation functions; element mapping; finite element analysis of scalar field problems; finite element analysis in linear elastostatics; implementation, modelling, and related issues. Appendices: mathematical potpourri; matrices and linear algebra; some notes on heat flow; local and natural coordinate systems; the patch test; solution of linear systems of equations; notes on integration of finite elements.

Biography

Kaliakin, Victor N.