
In this work, an accelerated, convergent and stable nodal integration is developed for the reproducing kernel particle method. On the other hand, low order quadrature consumes much less CPU, but can yield non-convergent, unstable solutions. High order quadrature can achieve stability and optimal convergence, but it is prohibitively expensive for practical use. more Convergent and stable domain integration that is also computationally efficient remains a challenge for Galerkin meshfree methods.

Convergent and stable domain integration that is also computationally efficient remains a challen.
