U
Uday Banerjee
Researcher at Syracuse University
Publications - 33
Citations - 1832
Uday Banerjee is an academic researcher from Syracuse University. The author has contributed to research in topics: Finite element method & Numerical integration. The author has an hindex of 18, co-authored 30 publications receiving 1607 citations.
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Survey of meshless and generalized finite element methods: A unified approach
TL;DR: A survey of meshless methods can be found in this article, where the authors provide a unified mathematical theory with proofs, briefly address implementational aspects, present illustrative numerical examples, and provide a list of references.
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Stable Generalized Finite Element Method (SGFEM)
Ivo Babuška,Uday Banerjee +1 more
TL;DR: It is shown that SGFEM retains the excellent convergence properties of GFEM, does not require a ramp-function in the presence of blending elements, and the conditioning of the associated stiffness matrix is not worse than that of the standard FEM.
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Generalized finite element methods — main ideas, results and perspective
TL;DR: An overview of the main ideas of the GFEM can be found in this paper, where the authors present the basic results, experiences with, and potentials of this method, as well as various forms of meshless methods used in engineering.
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A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics
TL;DR: The accuracy and conditioning of the Stable Generalized FEM (SGFEM) is investigated and it is shown that it is necessary to enrich additional nodes when the crack line is located along element edges in 2-D, which depends on the definition of the enrichment functions at the crack discontinuity.
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Stable GFEM (SGFEM): Improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics
TL;DR: In this article, an extension of the Stable Generalized FEM (SGFEM) for 3D fracture mechanics problems is presented, where an enrichment scheme based on singular bases and linear polynomials is shown to recover the optimal convergence of the SGFEM.