Journal ArticleDOI
Discontinuous enrichment in finite elements with a partition of unity method
TLDR
An approximate analytical method is presented to evaluate efficiently and accurately the call blocking probabilities in wavelength routing networks with multiple classes of calls, and path decomposition algorithms for single-class wavelength routing Networks may be readilt extended to the multiclass case.About:
This article is published in Finite Elements in Analysis and Design.The article was published on 2000-11-01. It has received 411 citations till now. The article focuses on the topics: Call blocking & Network model.read more
Citations
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ReportDOI
Investigation of ALEGRA shock hydrocode algorithms using an exact free surface jet flow solution.
TL;DR: In this article, the authors present a test of the arbitrary Lagrangian-Eulerian shock physics code, ALEGRA, using an exact solution that is very similar to a shaped charge jet flow.
Multiphase modeling of melting : solidification with high density variations using XFEM
TL;DR: In this paper, the phase change problem was solved in two dimensions using the extended finite element method, and convection was included by solving the Stokes equations in the liquid phase using the Extended Finite Element method as well.
Book ChapterDOI
Extended meshfree methods
TL;DR: Different approaches of spatial numerical integration, imposition of essential boundary conditions as well as solutions to avoid instabilities of different sources which occur in many meshfree methods such as SPH are provided.
Dissertation
Modélisation de la propagation de fissure sur des structures minces, soumises à des sollicitations intenses et rapides, par la méthode X-FEM
TL;DR: In this paper, the authors propose an approach based on the methode des elements finis etendus (X-FEM) for traiter des propagations de fissure on structures of petites tailles and volumiques.
Journal ArticleDOI
Meso-Scale Simulation of Concrete: Blast and Penetration Effects and AAR Degradation
TL;DR: In this article, a meso-scalesimulation of air blast and penetration on concrete dams is discussed, using the Lattice Discrete Particle Model (LDPM) developed at Rensselaer Polytechnic Institute.
References
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Journal ArticleDOI
A finite element method for crack growth without remeshing
TL;DR: In this article, a displacement-based approximation is enriched near a crack by incorporating both discontinuous elds and the near tip asymptotic elds through a partition of unity method.
Journal ArticleDOI
Element‐free Galerkin methods
Ted Belytschko,Y. Y. Lu,L. Gu +2 more
TL;DR: In this article, an element-free Galerkin method which is applicable to arbitrary shapes but requires only nodal data is applied to elasticity and heat conduction problems, where moving least-squares interpolants are used to construct the trial and test functions for the variational principle.
Book
Elliptic Problems in Nonsmooth Domains
TL;DR: Second-order boundary value problems in polygons have been studied in this article for convex domains, where the second order boundary value problem can be solved in the Sobolev spaces of Holder functions.
Journal ArticleDOI
Elastic crack growth in finite elements with minimal remeshing
Ted Belytschko,T. Black +1 more
TL;DR: In this article, a minimal remeshing finite element method for crack growth is presented, where Discontinuous enrichment functions are added to the finite element approximation to account for the presence of the crack.
Journal ArticleDOI
The partition of unity finite element method: Basic theory and applications
Jens Markus Melenk,Ivo Babuška +1 more
TL;DR: In this article, the basic ideas and the mathematical foundation of the partition of unity finite element method (PUFEM) are presented and a detailed and illustrative analysis is given for a one-dimensional model problem.
Related Papers (5)
The partition of unity finite element method: Basic theory and applications
Jens Markus Melenk,Ivo Babuška +1 more