What is the definition of the finite element mehod?
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The finite element method (FEM) is a technique used for studying the internal loading and behavior of complex structures or systems by breaking them down into smaller elements and analyzing the behavior of each element. It is a powerful tool for analyzing structures and solving partial differential equations in various fields of engineering and science. FEM allows for the approximation of functions or vector fields in multidimensional domains and the specification of Galerkin methods for approximating partial differential equations. It is based on mathematical concepts developed by Ritz, Galerkin, Trefftz, and others, and has been successfully implemented with the advancement of computer science. The method involves converting a system of differential equations into an equivalent variational problem, often using mechanical principles or weighted residual methods.
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