MPM

[arXiv20] LETO: Hybrid Lagrangian-Eulerian Method for Topology Optimization

We propose LETO, a new hybrid Lagrangian-Eulerian method for topology optimization. At the heart of LETO lies in a hybrid particle-grid Material Point Method (MPM) to solve for elastic force equilibrium. LETO transfers density information from freely …

[SIGGRAPH18] A Moving Least Squares Material Point Method with Displacement Discontinuity and Two-Way Rigid Body Coupling

In this paper, we introduce the Moving Least Squares Material Point Method (MLS-MPM). MLS-MPM naturally leads to the formulation of Affine Particle-In-Cell (APIC) and Polynomial Particle-In-Cell in a way that is consistent with a Galerkin-style weak …