The proposed method is applied to elastic problems solved by the reproducing kernel particle method (RKPM) with first-order correction of numerical integration.

The solution obtained by this method is the correction of the original Galerkin discretization obtained by the inaccurate numerical integration scheme.

This approach is based on a Ritz projection of the integration error that allows a modified Galerkin discretization of the original weak form to be established in terms of assumed strains. Illustrative numerical examples are also presented.ĪB - A novel approach is presented to correct the error from numerical integration in Galerkin methods for meeting linear exactness. In particular, stabilized non-conforming nodal integration (SNNI) is corrected using modified ansatz functions that fulfill the linear integration constraint and therefore conforming sub-domains are not needed for linear exactness.

N2 - A novel approach is presented to correct the error from numerical integration in Galerkin methods for meeting linear exactness. T1 - Corrected stabilized non-conforming nodal integration in meshfree methods

Meshfree methods lectures