Discontinuous Galerkin method

Okay kiddo, let me explain the discontinuous Galerkin method in a way that you can understand.

Imagine you are a teacher and you want to teach some students how to solve math problems. But you don't want to teach them just one way to solve the problems, you want to teach them multiple ways so they can learn better.

That's what the discontinuous Galerkin method does, it uses multiple ways to solve math problems (in this case equations) in a computer program.

But you may ask, how does it work?

Well, it separates the space where the equation sits into small chunks, like pieces of a puzzle. Then it solves each chunk (piece) individually using different methods, like playing with Lego blocks (makes sense so far?).

Once each chunk is solved, the method puts them back together, like a puzzle or a Lego house, to get the answer for the whole equation.

This is helpful when the equation is really complicated or has changing elements, like weather patterns, that you want to solve quickly on a computer.

So, in summary, the discontinuous Galerkin method is like using multiple ways to solve math problems, breaking them down into smaller pieces, solving each piece differently and then putting them back together like a puzzle or Lego house to get the final answer.