A new support integration scheme for the weakform in mesh-free methods

摘要

A new support integration technique is proposed, which is similar to those used in truly mesh-free methods. The contribution of this paper is to exploit the divergence-free condition for the support integrals to construct quadrature formulas that only require three integration points per particle M two dimensions. Numerical examples show that the proposed integration method can achieve results that agree with manufactured closed-form solutions.