Study of Finite Element Analysis Using the Shifted Boundary Method
Yamal Abdul Nasser Abou Jokh Casas
Study of Finite Element Analysis Using the Shifted Boundary Method.
Rel. Claudio Canuto. Politecnico di Torino, Corso di laurea magistrale in Ingegneria Meccanica (Mechanical Engineering), 2020
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Abstract
Study of Finite Element Analysis Using the Shifted Boundary Method Since the previous century, the Finite Element Method (FEM) has continuously gained attention to solve multiple types of physical problems, however as its range of application has increased, many Engineers, Mathematicians, Physicists, and Programmers have realized the difficulties that it encompasses. The reasons why the FEM gained increasing attention as to become a standard to solve a wide range of situations in nowadays were two: Because it can practically solve any differential problem, and because of the implementation of computers which allowed to obtain and test solutions for such problems. The latter reason being the starting point for which the scientific community paid attention to such method, even though this also represents a drawback since computers only have a finite computational capacity.
Generally speaking, a Finite Element Analysis (FEA) has 4 steps, which are the Discretization of the physical boundary, Choosing the shape and test functions, Building the system of equations, and Post-processing the results
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