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

ISBN-13: 9780824706791 / Angielski / Twarda / 2001 / 664 str.

Victor N. Kaliakin

Opis

This work focuses on classical approximate solution techniques, such as the finite difference method, the method of weighted residuals, and variation methods.

Spis treści

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.

O autorze

Kaliakin, Victor N.