[PDF] Top 20 High order extended finite element method for cracked domains

... URL: http://onlinelibrary.wiley.com/doi/10.1002/nme.1370/abstract To cite this version: Laborde, Patrick and Pommier, Julien and Renard, Yves and Salaün, Michel High order extended finite ... Voir le document complet

... URL: http://onlinelibrary.wiley.com/doi/10.1002/nme.1370/abstract To cite this version: Laborde, Patrick and Pommier, Julien and Renard, Yves and Salaün, Michel High order extended finite ... Voir le document complet

... X-SFEM method from a theo- retical point of view and also focus on technical ...The method will be presented in the context of linear ...X-FEM method [19,20] where only a classical finite ... Voir le document complet

... motivation for this new enrichment strategy is the ...complementary element or complementary nodes that is encountered also in the literature ...[AFEM**]. For the same arguments underlined in the ... Voir le document complet

... method is based 1 on a high-order approximation that allows to obtain highly accurate models even with coarse ...X-FEM. For instance, the use of straight-sided sub-parametric elements allows ... Voir le document complet

... a finite element method leads to solve a linear system which can be more or less ...16 for the thinnest ...a method as, beyond this value, a matrix is close to be non-invertible at the ... Voir le document complet

... hope for an exact integration of the bilinear form over a tip-enriched ...the element to integrate into a series of cells along the crack surface and then use classic Gauss-like integration rules over each ... Voir le document complet

... An eXtended Stochastic Finite Element Method has been recently proposed for the numerical solution of partial dierential equations dened on random ...This method is based on a ... Voir le document complet

... composite element as a classical element, which makes the use of this approach straight- forward, even in the 3D ...obtained for the enriched hanging dofs shares similar features with the projection ... Voir le document complet

... φ-FEM for the test case 3 (see (28)-(29)), σ = ...quadrature order, on the accuracy of the ...of high enough order have been used in the implementation presented in this ... Voir le document complet

... of finite element (FE) methods by symmetry reduction (Brambilla et ...solve for the electromagnetic fields of their HTS ...measurements for their HTS devices, numerical simulation is the only ... Voir le document complet

... of finite element methods (FE) based on completely discontinuous piecewise polynomial spaces for the numeri- cal solution and the test ...functions. For the same order of accuracy, DG ... Voir le document complet

... in order to avoid locking ...modified for these models, which can be difficult for non-linear constitutive ...especially for complex ...low order elements are not able to represent the ... Voir le document complet

... The embedded discontinuity methods represent another class of fracture methods that consider the crack at the ele- ment level as a band of high strain. This approach was pro- posed by Belytschko, Fish and ... Voir le document complet

... adopted Finite Integration Technique (FIT) with a Finite Volume Method (FVM) based either on central or upwind ...FIT-FVM method, a single mesh type is used, more precisely a Cartesian grid, ... Voir le document complet

... The idea of this paper is to tackle the optimization of bimaterial structures and microstructures within an XFEM-level set framework. Dealing with material interfaces, the enrichment functions used to create the ... Voir le document complet

... PENALTY FINITE ELEMENT METHOD FOR OSEEN’S EQUATIONS ERIK BURMAN † , MIGUEL ...penalty method of Douglas and Dupont [Interior penalty procedures for elliptic and parabolic ... Voir le document complet

... methods for solving this type of problem in the frequency ...problems for which the use of independent (and non-conforming) meshes in each domain is ...desired. For time-dependent problems the ... Voir le document complet

... A na¨ıve approach: the problem We derived a stability condition of the form N λ & ω . This stability condition is valid for any polynomial degree p. However, we do not see improvements when p increases, which ... Voir le document complet

... 1. Introduction. Boundary value problems with discontinuous coefficients con- stitute a prototype of various problems in heat transfer and continuum mechanics where heterogeneous media are involved. The numerical ... Voir le document complet