A Finite Element Primer for Beginners The Basics /

• Main Author: Zohdi, Tarek I. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: SpringerBriefs in Applied Sciences and Technology,
• Subjects: Engineering.; Computer mathematics.; Mathematical models.; Physics.; Complexity, Computational.; Continuum mechanics.; Fluid mechanics.; Continuum Mechanics and Mechanics of Materials.; Engineering Fluid Dynamics.; Complexity.; Computational Science and Engineering.; Mathematical Modeling and Industrial Mathematics.; Numerical and Computational Physics.

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...

Table of Contents:

• 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.