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The smoothed extended finite element method [PDF]
International Journal for Numerical Methods in Engineering, 2008 peer reviewedThis paper shows how the strain smoothing technique recently proposed by G.R.Liu [1] coined as smoothed finite element method (SFEM) can be coupled to partition of unity methods, namely extended finite element method (XFEM) [2] to give birth
Minh, Q. D. +6 more
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Linear smoothed extended finite element method [PDF]
International Journal for Numerical Methods in Engineering, 2017 The extended finite element method (XFEM) was introduced in 1999 to treat problems involving discontinuities with no or minimal remeshing through appropriate enrichment functions.
Murugesan, +3 more
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On the Smoothed eXtended Finite Element Method for Continuum
, 2009 In this paper, we combine the strain smoothing technique proposed by Liu et al [1] coined as the smoothed finite element method (SFEM) to partition of unity methods, namely the extended finite element method (XFEM) [2] to give birth to the smoothed ...
Natarajan, Sundararajan +3 more
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Polyhedral elements by means of node/edge‐based smoothed finite element method
International Journal for Numerical Methods in Engineering, 2017 The node-based or edge-based smoothed finite element method is extended to develop polyhedral elements that are allowed to have an arbitrary number of nodes or faces, and so retain a good geometric adaptability.
Hobeom Kim +5 more
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Analysis of smoothed adaptive finite element methods [PDF]
Partielle Differentialgleichungen (PDEs) spielen eine zentrale Rolle bei der Modellierung physikalischer Phänomene. Ihre Lösungen weisen häufig lokale Singularitäten auf, die die Genauigkeit numerischer Verfahren einschränken können.
Lietz, Christoph; orcid:
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On the smoothed finite element method [PDF]
International Journal for Numerical Methods in Engineering, 2008 AbstractRecently, Liu et al. proposed the smoothed finite element method by using the non‐mapped shape functions and then introducing the strain smoothing operator when evaluating the element stiffness in the framework of the finite element method. However, the theories and examples by Liu et al.
Zhang, H.-H., Liu, S.-J., Li, L.-X.
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Preconditioning for finite element methods with strain smoothing
Computers & Mathematics with Applications, 2023 Strain smoothing methods such as the smoothed finite element methods (S-FEMs) and the strain-smoothed element~(SSE) method have successfully improved the performance of finite elements, and there have been numerous applications of them in finite element analysis. For the sake of efficient applications to large-scale problems, it is important to develop
Chaemin Lee, Jongho Park 0002
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Metals, 2023 A variety of particle-based methods have been developed for the purpose of computationally modelling processes that involve, for example, complex topological changes of interfaces, significant plastic deformation of materials, fluid flow in conjunction ...
Mingming Tong
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Aerospace, 2021 This paper aims to study the difference of results in breakup state judgment, debris cloud and fragment characteristic parameter during hypervelocity impact (HVI) on large-scale complex spacecraft structures by various numerical simulation methods.
Yanxi Zhang +5 more
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Applied Sciences, 2021 The present paper places emphasis on the most widely used Computational Fluid Dynamics (CFD) approaches, namely the Eulerian and Lagrangian methods each of which is characterized by specific advantages and disadvantages.
Diana De Padova +4 more
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