Source: Test

How FEA works, briefly put.

No time to waddle through dozens of pages full of mathematics? Here’s how FEA works – the sticky note version!

- The governing equation is defined. In magnetostatics, the Ampere’s law is combined with the vector potential to get

. - We define an approximative solution

.

In other words,*known*(shape) functions multiplied by some unknown coefficients . - The problem geometry is meshed, and the shape functions are defined based on the mesh.
- To solve the coefficients, we try to get “as good as possible” solution according to the following criterion:

for all . - This gives us a system of equations for our unknowns.
- Profit!
- Lots of awesome figures are drawn (see below).

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