ELI5: Explain Like I'm 5

Meshfree method

Okay, so let's imagine you have a paper with a picture of a car. Normally, when you want to color in the picture, you have to be careful to color within the lines. The lines on the paper create a kind of grid that helps you color accurately.

But what if I told you there's another way to color the picture without needing those lines? That's where the meshfree method comes in.

The meshfree method is like having a magic pen that doesn't need lines to color in the picture. Instead of the lines, we imagine the whole picture is made up of a bunch of dots. These dots aren't connected by lines, but they still help us color accurately.

Now, let's say you want to color the car blue. You start by picking one dot on the car and coloring it blue. Then, you look at the dots that are close to the blue dot and see if they should also be colored blue. You keep doing this, going from dot to dot, until you've colored in the entire car.

The meshfree method is like coloring the picture using these dots. Instead of having a fixed grid of lines, we can choose any dots we want and color them in. This lets us color the picture more freely and accurately, even without the lines.

Now, you might be wondering why we would even want to use the meshfree method. Well, sometimes the lines can get in the way. If the picture has complicated shapes or curves, it can be hard to color within the lines without going outside of them.

The meshfree method helps us get around this problem by using those dots instead of lines. We can easily color in the complex shapes and curves without worrying about the lines limiting us.

So, the meshfree method is a cool way of coloring in a picture without needing lines. It lets us be more flexible and accurate when coloring complex shapes and curves.