An arbitrary order variationally consistent integration for Galerkin meshfree methods

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Consistent element‐free Galerkin method (2014, methodology): “[31] also proposed to recover arbitrary-order consistency by using the Petrov–Galerkin weak form, which leads to asymmetric stiffness matrixes.”
A level set enhanced natural kernel contact algorithm for impact and penetration modeling (2015, background): “Correction of SNNI for optimal convergence has been proposed [38], but the material is beyond the scope of this work and is not discussed herein.”
An accelerated, convergent, and stable nodal integration in Galerkin meshfree methods for linear and nonlinear mechanics (2016, background): “In reference [17], it was demonstrated that several nodal integration”
A displacement smoothing induced strain gradient stabilization for the meshfree Galerkin nodal integration method (2015, background): “[11] to further reduce the solution errors of PDEs from quadrature inaccuracy.”
Meshfree Methods: Progress Made after 20 Years (2017, unknown): “(56) involves the test functions, while the trial functions are constructed to be n th order complete (Chen et al. 2013).”
Stabilized and variationally consistent nodal integration for meshfree modeling of impact problems (2014, methodology): “The concept of variational consistency has been proposed as a means to correct inaccurate quadrature rules to recover Galerkin orthogonality, and consequently achieve optimal convergence in the Galerkin solution [4].”