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Solving PDEs numerically: the finite element method (1)

The study of partial differential equations is a fascinating field of mathematics with many concrete applications, be it in physics, mechanics, meteorology, medicine, urbanism… Mathematicians model the world as equations to better understand it and, if possible, compute a theoretical solution to a physical problem. However, we can’t always get an analytical solution – for example if the geometry is too complex – and sometimes must rely on numerical methods to get an approximation.

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