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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Zohdi, Tarek I. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:SpringerBriefs in Applied Sciences and Technology,
Temas:
Mechanics, Applied.
Solids.
Fluid mechanics.
Dynamics.
Nonlinear theories.
Mathematics-Data processing.
Mathematical models.
Mathematical physics.
Solid Mechanics.
Engineering Fluid Dynamics.
Applied Dynamical Systems.
Computational Science and Engineering.
Mathematical Modeling and Industrial Mathematics.
Theoretical, Mathematical and Computational Physics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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