Meshless
Meshless methods, or meshfree methods, are numerical techniques for solving partial differential equations that do not require a mesh to discretize the domain. The solution is approximated from values at a set of scattered nodes, with field variables and derivatives obtained through moving least squares, radial basis functions, or other meshless interpolants. This contrasts with mesh-based methods like the finite element method, which rely on elements and a mesh connectivity.
Prominent approaches include moving least squares based local or global approximations; Element-Free Galerkin (EFG); Reproducing Kernel
Advantages include robust handling of large deformations and complex or evolving geometries, straightforward refinement by adding
Applications span solid and structural mechanics, fracture and crack propagation, fluid and aeroelastic problems, heat conduction,