Moving particle finite element method with superconvergence: Nodal integration formulation and applications

A new approach of moving particle finite element method has been developed which is capable to gain a global superconvergence through solving particle kernel function to satisfy high order consistencies. The nodal-based moving particle finite element method, inconjunction with the proposed superconvergence approach, provides an optimized combination in numerical accuracy and computation efficiency. The three-dimensional engineering scale simulations demonstrate that this scheme is robust and capable to handle high-speed penetration and dynamic crack propagation with intersonic and supersonic speeds.