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1. General presentation
The finite element method is a method for approximating the solutions of partial differential equations, based on an equivalent formulation of the problem to be solved. This is called a variational formulation of the problem, and requires the solution to be as regular as possible.
This phase of problem transformation is certainly the most delicate and difficult to deal with, since it requires the use of very fine and abstract mathematical notions, such as distribution theory. In this article, we have endeavoured to iron out the difficulties by firstly considering the modelling of a simple problem, which enables us to check the equivalence of the formulation of various problems, and secondly partial differential equations defined in a one-dimensional domain
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General presentation
Modeling a simple elasticity problem
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