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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Proceedings ArticleDOI
Simulation evolving discontinuities in TRC using the extended finite element method
Journal ArticleDOI
Coupled hydro-mechanical modelling of saturated fractured porous media with unified embedded finite element discretisations
TL;DR: In this paper , a unified finite element strategy for coupled hydro-mechanical (HM) analysis of fractured porous media where cracks arbitrarily intersect standard finite elements is presented. But this strategy is built by employing a discrete strong discontinuity approach and a coupling finite elements framework for the mechanical displacement and fluid pressure fields.
Proceedings ArticleDOI
Finite elements with an embedded reinforcement for the simulation of reinforced concrete structures strengthened with FRP
TL;DR: Specific finite elements for the simulation of pull-out mechanisms are here presented and the presence of interfaces is taken into account by enriching the displacement approximation by means of additional unknowns defined at the element level.
Errors Estimation of Different Numerical Integration Techniques on Stiffness Matrix and Stress Intensity Factor in XFEM
TL;DR: In this paper, three methods of integration used and presented here are trapezoidal rule integration, Gauss quadrature integration, and sub element rule integration for stiffness matrix integral.
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