Meshless Methods
Meshless methods are numerical techniques used to solve partial differential equations without the need for a predefined mesh. Unlike traditional methods, which rely on grids to discretize the problem domain, meshless methods utilize a set of points to represent the solution. This flexibility allows for easier handling of complex geometries and moving boundaries.
These methods are particularly useful in fields like computational fluid dynamics and structural analysis, where mesh generation can be challenging. By using techniques such as Radial Basis Functions or Element-Free Galerkin, meshless methods can provide accurate solutions while reducing computational costs associated with mesh refinement.