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April 28, 2013

What is the Finite Element Method (FEM)?

In mathematics, partial differential equations (PDEs) can be solved either analytically (exact, continuous) or numerically (approximation, discrete).
Illustrating the position of FEM in the overall picture for solving PDEs
Finite element method (FEM) is a numerical method for solving PDEs. FEM is usually applied to solve for PDEs in continuum mechanics for solid mechanics problems.

Two other popular methods are the finite difference and finite volume methods (FDM FVM), which are frequently used to solve problems in fluid mechanics.

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