Material Point Method

The Material Point Method (MPM) is a computational technique used to simulate how materials like solids, liquids, or gases deform and move under various forces. It combines the advantages of particle-based methods (tracking individual points of material) with grid-based methods (using a grid to calculate forces and movement). MPM updates the positions, velocities, and stresses of particles by transferring information between particles and a background grid. This approach handles large deformations and complex interactions effectively, making it valuable in fields like engineering, physics, and computer graphics for realistic simulations.