Imagine you have a big puzzle piece that you want to study, but instead of studying the entire thing, you only want to look at the edge of the puzzle piece. The Boundary Element Method is like studying only the edge of the puzzle piece to learn about the whole thing.
In math, we want to understand how things work and interact with each other. The Boundary Element Method is a way to simplify complex mathematical problems by only focusing on the places where things interact or touch each other.
This method works by dividing the problem into two parts: the inside and outside. We can study the behavior of the inside by looking at how it interacts with the outside. Think about playing with a toy car in a sandbox. You can see how the car moves and interacts with the sand around it, but you don't need to study the entire sandbox to understand how the car behaves.
By using the Boundary Element Method, scientists and engineers can solve complex problems faster and more accurately than by trying to figure out the entire puzzle piece at once. It's like using a magnifying glass to look at the most important parts of a bigger picture.