$\phi$-FEM: A Finite Element Method on Domains Defined by Level-Sets [PDF]
SIAM Journal on Numerical Analysis, 2020 We propose a new fictitious domain finite element method, well suited for elliptic problems posed in a domain given by a level-set function without requiring a mesh fitting the boundary. To impose the Dirichlet boundary conditions, we search the approximation to the solution as a product of a finite element function with the given level-set function ...
Michel Duprez, Alexei Lozinski
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Efficient explicit time stepping for the eXtended Finite Element Method (X‐FEM) [PDF]
International Journal for Numerical Methods in Engineering, 2006 AbstractThis paper focuses on the introduction of a lumped mass matrix for enriched elements, which enables one to use a pure explicit formulation in X‐FEM applications. A proof of stability for the 1D and 2D cases is given. We show that if one uses this technique, the critical time step does not tend to zero as the support of the discontinuity reaches
Menouillard, Thomas +3 more
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Finite Element Method (FEM), Mechanobiology and Biomimetic Scaffolds in Bone Tissue Engineering [PDF]
International Journal of Biological Sciences, 2011 Techniques of bone reconstructive surgery are largely based on conventional, non-cell-based therapies that rely on the use of durable materials from outside the patient's body. In contrast to conventional materials, bone tissue engineering is an interdisciplinary field that applies the principles of engineering and life sciences towards the development
BOCCACCIO, Antonio +5 more
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BES with FEM: Building Energy Simulation using Finite Element Methods
CoRR, 2016 5 pages, 6 figures, Proceedings of the 2012 COMSOL Conference in ...
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Contact Stresses: Analysis by Finite Element Method (FEM)
Procedia Technology, 2014 AbstractThis paper presents a study by the Finite Element Method (FEM) of the contact tensions between two bodies and the results obtained are compared with the calculations obtained on basis of the relations of the theory of H. Hertz.The analyzed situations are: two spherical bodies in contact with their radii R1 and R2, respectively, a spherical body
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An investigation of integrating the finite element method (FEM) with grey system theory for geotechnical problems. [PDF]
PLoS One, 2022 Li Y, Zhu G, Zhang Q.
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Deformation analysis of cement modified soft clay soil using finite element method (FEM). [PDF]
Heliyon, 2022 Tsige D, Korita M, Beyene A.
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The Use of Finite Element Methods (FEM) in the Modeling of Localized Corrosion
Interface magazine, 2014 . Typical forms of localized corrosion include crevice corrosion, pitting, stress corrosion cracking, and intergranular corrosion. 1 Localized corrosion represents the primary corrosion failure mode for passive/corrosion resistant materials. There has been extensive experimental characterization of the dependence of the susceptibility to corrosion on ...
C. Liu, R. G. Kelly
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Implementation of $hp$-adaptive discontinuous finite element methods in Dune-Fem
CoRR, 2016 In this paper we describe generic algorithms and data structures for the implementation of $hp$-adaptive discontinuous finite element methods in the Dune-Fem library. Special attention is given to the often tedious and error-prone task of transferring user data during adaptation.
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Finite Element Method (FEM) in Graphene Analysis
Methods based on atomic behavior, such as molecular dynamics (MD) simulations, are highly accurate for modeling single-layer graphene sheets. However, their high computational cost limits their use to only small-sized systems. This research addresses this limitation by developing a new atomic-scale finite element method (AFEM) based on the Tersoff ...
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