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Measurement Principles and Structures Read chapter Read first chapter

2006 | OriginalPaper | Chapter

19. Finite Element and Finite Difference Methods

Author : Akira Tezuka, Dr.

Published in: Springer Handbook of Materials Measurement Methods

Publisher: Springer Berlin Heidelberg

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Abstract

Finite element methods (FEM) and finite difference methods (FDM) are numerical procedures for obtaining approximated solutions to boundary-value or initial-value problems. They can be applied to various areas of materials measurement and testing, especially for the characterization of mechanically or thermally loaded specimens or components. (Experimental methods for these fields have been treated in Chapts. 7 and 8.)
The principle is to replace an entire continuous domain of a body of interest by a number of subdomains in which the unknown function is represented by simple interpolation functions with unknown coefficients. Thus, the original boundary-value problem with an infinite number of degrees of freedom is converted into a problem with a finite number of degrees of freedom approximately.

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previous chapter Continuum Constitutive Modeling
next chapter The CALPHAD Method
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Metadata
Title
Finite Element and Finite Difference Methods
Author
Akira Tezuka, Dr.
Copyright Year
2006
Book
Springer Handbook of Materials Measurement Methods

Print ISBN: 978-3-540-20785-6

Electronic ISBN: 978-3-540-30300-8

Copyright Year: 2006

DOI
https://doi.org/10.1007/978-3-540-30300-8_19

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