Generalized nodes and high‐performance elements

By Rong Tian, G. Yagawa. 2005

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New strategies for some issues of numerical manifold method in simulation of crack propagation (2014, background): “Tian and Yagawa [11] developed 2D and 3D simplex elements and associated the physical patch with a so-called generalized node having physically meaning variables.”
Analysis of three-dimensional fracture mechanics problems: A non-intrusive approach using a generalized finite element method (2012, background): “These element types are also studied in [60,61].”
The MLS-based numerical manifold method with applications to crack analysis (2014, background): “Tian and Yagawa (2005) developed 2D and 3D simplex elements and associated the physical patch with a so-called generalized node having physically meaning variables.”
Three-dimensional crack growth with hp-generalized finite element and face offsetting methods (2010, background): “Partition of unity shape functions are linear dependent when, for example, both the partition of unity and the enrichment functions span polynomials [13,66, 75 ].”