“Mixed” Meshless Time-Domain Adaptive Algorithm for Solving Elasto-Dynamics Equations

A time-domain adaptive algorithm was developed for solving elasto-dynamics problems through a mixed meshless local Petrov-Galerkin finite volume method (MLPG5). In this time-adaptive algorithm, each time-dependent variable is interpolated by time series function of n-order, which determined criterion in step. The high-order expanded variables bring high accuracy the domain, especially elasto-dynamic equations, are second-order PDE domain. present MLPG5 dynamic formulation, strains independently, as displacements weak form, eliminates expensive differential shape function. traditional MLPG5, both and its derivative node need to be calculated. By taking Heaviside test function, domain integration stiffness matrix avoided. Several numerical examples, including comparison our method, MLPG5–Newmark FEM (ANSYS) given demonstrate advantages presented method: (1) large step can used problem; (2) computational efficiency improved space time; (3) smaller support sizes MLPG5.