Finite Element Method

The finite element method is a method for solving partial differential equations, which requires discretization in the space where these equations are located. After the unit is discretization, the initial partial differential equations will become some form of matrix equations, which associate the known amount (input) on the node with the unknown amount (output, in this way, you can solve the problem one by one.

Discretization: divides a large area into some small local areas with simple structures but arbitrary shapes (finite units)

If an unknown function in a differential equation contains only one independent variable, this equation is called a common differential equation or a differential equation. If a partial derivative of a multivariate function appears in a differential equation, or if the unknown function is related to several variables, and the equation contains the derivative of the unknown function on several variables, then this differential equation is a partial differential equation.

Finite element analysis is based on the Matrix Analysis of "structure", through which we can combine elastic units.