A Finite Element Primer for Beginners : The Basics /

The purpose of this primer is to provide the basics of the Finite Element Method, primarily illustrated through a classical model problem, linearized elasticity. The topics covered are: (1) Weighted residual methods and Galerkin approximations, (2) A model problem for one-dimensional linear elastost...

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Autor principal: Zohdi, Tarek I. (Author)
Autor Corporativo: SpringerLink (Online service)
Formato: livro electrónico
Idioma:English
Publicado em: Cham : Springer International Publishing : Imprint: Springer, 2015.
Colecção:SpringerBriefs in Applied Sciences and Technology,
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Sumário:
  • Weighted residuals and Galerkin's method for a generic 1-D problem
  • A model problem: 1-D elastostatics
  • A finite element implementation in one dimension
  • Accuracy of the finite element method
  • Element by element iterative solutions schemes
  • Weak formulations in three dimensions
  • A finite element implementation in three dimensions
  • Accuracy of the finite element method
  • Time-dependent problems
  • Summary and advanced topics.