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A Finite Element Primer for BeginnersElement-by-Element Iterative Solution Schemes

A Finite Element Primer for Beginners: Element-by-Element Iterative Solution Schemes [There are two main approaches to solving systems of equations resulting from numerical discretization of solid mechanics problems, direct and iterative. There are a large number of variants of each. Direct solvers are usually employed when the number of unknowns is not very large, and there are multiple load vectors.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Finite Element Primer for BeginnersElement-by-Element Iterative Solution Schemes

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Publisher
Springer International Publishing
Copyright
© The Author(s) 2015
ISBN
978-3-319-09035-1
Pages
37 –43
DOI
10.1007/978-3-319-09036-8_5
Publisher site
See Chapter on Publisher Site

Abstract

[There are two main approaches to solving systems of equations resulting from numerical discretization of solid mechanics problems, direct and iterative. There are a large number of variants of each. Direct solvers are usually employed when the number of unknowns is not very large, and there are multiple load vectors.]

Published: Aug 13, 2014

Keywords: Stiffness Matrix; Steep Descent; Conjugate Gradient Method; Gaussian Elimination; Minimum Principle

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