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Abstract

This introductory chapter presents the main steps of the finite element analysis. Derivation of the finite element equations is demonstrated on a second-order differential equation using the Galerkin approach in a one-dimensional case. The same one-dimensional example is considered using variational formulation. Determination of quadratic shape functions for a one-dimensional finite element with three nodes is explained.

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© 2010 Springer-Verlag London Limited

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(2010). Introduction. In: Programming Finite Elements in Java™. Springer, London. https://doi.org/10.1007/978-1-84882-972-5_1

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  • DOI: https://doi.org/10.1007/978-1-84882-972-5_1

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84882-971-8

  • Online ISBN: 978-1-84882-972-5

  • eBook Packages: EngineeringEngineering (R0)

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