Victor N. Kaliakin

Introduction to Approximate Solution Techniques, Numerical Modeling, and Finite Element Methods (eBook, ePUB)

• Format: ePub

Produktbeschreibung

This book focuses on classical approximate solution techniques such as the finite difference method, the method of weighted residuals, and variation methods, culminating in an introduction to the finite element method (FEM). It describes the approximate solution of ordinary and partial differential equations using the finite difference method, covers the method of weighted residuals, including specific weighting and trial functions, considers variational methods, highlights all aspects associated with the formulation of finite element equations, and outlines meshing of the solution domain, nodal specifications, solution of global equations, solution refinement, and assessment of results.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 664
• Erscheinungstermin: 19. April 2018
• Englisch
• ISBN-13: 9781351990905
• Artikelnr.: 54205291

Autorenporträt

Kaliakin, Victor N.

Inhaltsangabe

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.