A Reduced Basis Enrichment for the eXtended Finite Element Method [PDF]
Mathematical Modelling of Natural Phenomena, 2009 This paper is devoted to the introduction of a new variant of the extended finite element method (Xfem) for the approximation of elastostatic fracture problems. This variant consists in a reduced basis strategy for the definition of the crack tip enrichment.
Chahine, E. +2 more
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A unified approach to Mimetic Finite Difference, Hybrid Finite Volume and Mixed Finite Volume methods [PDF]
, 2008 We investigate the connections between several recent methods for the discretization of anisotropic heterogeneous diffusion operators on general grids.
Eymard R. +4 more
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A combined space-time extended finite element method [PDF]
International Journal for Numerical Methods in Engineering, 2005 The Newmark method for the numerical integration of second order equations has been extensively used and studied along the past fifty years for structural dynamics and various fields of mechanical engineering. Easy implementation and nice properties of this method and its derivatives for linear problems are appreciated but the main drawback is the ...
Réthoré, Julien +2 more
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Determining Minimal Polynomial of Proper Element by Using Higher Degree Traces [PDF]
, 2001 Modern communication engineerings, such as elliptic curve cryptographies, often requires algebra on finite extension field defined by modulus arithmetic with an irreducible polynomial. This paper provides a new method to detemine the minimal (irreducible)
Morikawa, Yoshitaka, Nogami, Yasuyuki
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A numerical approach for modelling thin cracked plates with XFEM [PDF]
, 2009 The modelization of bending plates with through the thickness cracks is investigated. We consider the Kirchhoff-Love plate model which is valid for very thin plates.
C. Besse +6 more
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The Extended Finite Element Method for Dynamic Fractures [PDF]
Shock and Vibration, 2005 A method for modelling arbitrary growth of dynamic cracks without remeshing is presented. The method is based on a local partition of unity. It is combined with level sets, so that the discontinuities can be represented entirely in terms of nodal data.
Goangseup Zi +3 more
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Boson-fermion mapping of collective fermion-pair algebras [PDF]
, 1995 We construct finite Dyson boson-fermion mappings of general collective algebras extended by single-fermion operators. A key element in the construction is the implementation of a similarity transformation which transforms boson-fermion images obtained ...
Dobaczewski, J. +2 more
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A semi-staggered dilation-free finite volume method for the numerical solution of viscoelastic fluid flows on all-hexahedral elements [PDF]
, 2007 The dilation-free semi-staggered finite volume method presented in Sabin [M. Sahin, A preconditioned semi-staggered dilation-free finite volume method for the incompressible Navier-Stokes equations on all-hexahedral elements, Int. J. Numer.
Sahin, M, Wilson, HJ
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Finite Element Analysis of an Arbitrary Lagrangian–Eulerian Method for Stokes/Parabolic Moving Interface Problem With Jump Coefficients [PDF]
, 2020 In this paper, a type of arbitrary Lagrangian–Eulerian (ALE) finite element method in the monolithic frame is developed for a linearized fluid–structure interaction (FSI) problem — an unsteady Stokes/parabolic interface problem with jump coefficients and
Lan, Rihui +2 more
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An extended finite element method with smooth nodal stress [PDF]
, 2013 The enrichment formulation of double-interpolation finite element method (DFEM) is developed in this paper. DFEM is first proposed by Zheng \emph{et al} (2011) and it requires two stages of interpolation to construct the trial function.
Bordas, S. P. A. +3 more
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