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The finite element method is a mathematical method to be able to computationally solve a differential equation.
The core of the method is to discretise the problem, because computer cannot solve the problem analytically.
Weak formulation
(Videos descriptions#Weak Formulation)
The weak formulation is the formulation of the differential equation so that it becomes solvable using the finite elements method.
This video shows how the weak formulation is derived from the initial problem, and its use.
Mathematical Finite element method base
(Videos descriptions#Mathematical Finite element method base)
The finite element method is a mathematical method to be able to computationally solve a differential equation.
The core of the method is to discretise the problem, because computer cannot solve the problem analytically.