Analyzing 2D fracture problems with the improved element-free Galerkin method

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Accurate fracture modelling using meshless methods, the visibility criterion and level sets: Formulation and 2D modelling (2011, background): “Alternatives are to use improved weight functions [33] and enriched weight functions [34, 35], both of which introduce no additional unknowns.”
An improved meshless Shepard and least squares method possessing the delta property and requiring no singular weight function (2014, background): “Remarkable successes have been reported in applying these methods for analyzing challenging engineering problems, namely, fracture modelling [4–12], plate problems [13], finite deformation problem [14,15], fluid struction interaction [16] consolidation problem [17], dynamic simulation [18–20], three”