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

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Stabilized and variationally consistent nodal integration for meshfree modeling of impact problems (2014, methodology): “Several methods similar in spirit have since been proposed [1,11,17], which can also preserve the meshfree character of the Galerkin method but can carry a computational burden.”
Meshfree Methods: Progress Made after 20 Years (2017, unknown): “In a similar spirit, other support integration schemes have also been developed (Liu and Belytschko 2010).”
An arbitrary order variationally consistent integration for Galerkin meshfree methods (2013, methodology): “Dolbow and Belytschko [8] first investigated the integration issue in the element-free Galerkin method and showed that although moving least squares (MLS) shape functions are rational and thus more difficult to integrate, the *Correspondence to: Jiun-Shyan Chen, Department of Civil and Environmental”
Second‐order accurate derivatives and integration schemes for meshfree methods (2012, methodology): “DOI: 10.1002/nme.4359 Second-order accurate derivatives and integration schemes for meshfree methods Qinglin Duan1,*,†, Xikui Li1,2, Hongwu Zhang1,2 and Ted Belytschko3 1Department of Engineering Mechanics, Dalian University of Technology, Dalian, Liaoning 116024, China 2The State Key Laboratory of ”