- #1

Vanilla Gorilla

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- TL;DR Summary
- As I understand it, the final step to solving a differential equation in FEM is to solve a matrix equation of the form ##[K] [T] = [F]##, where ##[K]## is the stiffness matrix, while ##[T]## is the matrix of nodal temperature values. However, I am unsure as to what ##F## represents.

I have been watching Mike Foster's video series of the Finite Element Method for Differential Equations (FEM). In this episode, he solves a DE relating to temperature. As the final step, he gives the following equation: $$[K] [T] = [F]$$ In this equation, I understand that ##[K]## is the stiffness matrix, while ##[T]## is the matrix of nodal temperature values. However, I do not fully understand what ##[F]## is, and how to incorporate it into the method; I believe that it is something relating to boundary conditions, but I am unsure as to how to formulate it from said boundary conditions.

Any help is much appreciated!

P.S., I'm not always great at articulating my thoughts, so my apologies if this question isn't clear. Also, I know this isn't high school material, but I am currently in high school, which is why I made my level "Basic/high school level."

Note to moderators: I think that is the most appropriate forum for this post. However, if not, apologies, and please feel free to move at your own discretion. :)

Any help is much appreciated!

P.S., I'm not always great at articulating my thoughts, so my apologies if this question isn't clear. Also, I know this isn't high school material, but I am currently in high school, which is why I made my level "Basic/high school level."

Note to moderators: I think that is the most appropriate forum for this post. However, if not, apologies, and please feel free to move at your own discretion. :)