Regularized meshless method

Hey kiddo, do you know what a mesh is? It's like a big net that scientists use to divide up space so they can do calculations on it. But sometimes, they can't use a mesh because the space they're working with is too complicated. That's when they use something called a meshless method.

Now, a regularized meshless method is a way to make the meshless method work even better. You see, when you use a meshless method, you end up with a bunch of points in space where you have to do your calculations. But sometimes, those points can be a little too spread out or close together, which isn't great for accuracy.

So, in a regularized meshless method, the scientists add some extra calculations to make sure that the points are evenly spaced. That way, they can make sure that their calculations are more accurate and reliable.

Think of it like trying to measure the distance between two buildings with little markers along the way. Imagine the markers are too far apart or too close together - it would be hard to get an exact measurement. That's why scientists use regularized meshless methods - to make sure their "markers" are evenly spaced so they can get precise calculations.

Does that make sense, kiddo?