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Title: Development of Smoothed Finite Element Method (SFEM)
Keywords: Smoothed Finite Element Methods (S-FEM), CS-FEM, NS-FEM, ES-FEM, FS-FEM, alpha-FEM
Issue Date: 5-Aug-2009
Citation: NGUYEN THOI TRUNG (2009-08-05). Development of Smoothed Finite Element Method (SFEM). ScholarBank@NUS Repository.
Abstract: To overcome shortcomings of the finite element method (FEM), this thesis focuses on formulating and developing five new FEM models, including four smoothed FEM (S-FEM) models and one alpha-FEM model by combining the existing standard FEM and the strain smoothing technique. The results of the research showed four crucial contributions: (1) Five new numerical methods are promising to provide more feasible options for numerical methods, especially for methods using triangular and tetrahedral elements; (2) S-FEM models give more the freedom and convenience in constructing shape functions, and also in using distorted elements and n-sided polygonal elements; (3) NS-FEM which possesses interesting properties of an equilibrium FEM model is promising to provide a much simpler tool to estimate the quality of the solution (global error, bounds of solutions, etc) by combining itself with FEM; (4) alpha-FEM has a very meaningful contribution in providing more the reference benchmark solutions wi
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