Stable GFEM (SGFEM): improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics
type: Item
instance of: scholarly article
title: Stable GFEM (SGFEM): improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics
zbMATH Open document ID: 1423.74886
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2019-03-26T00:00:00Z
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 74R10
zbMATH DE Number: 7042626
zbMATH Keywords: generalized FEM
zbMATH Keywords: extended FEM
zbMATH Keywords: blending elements
zbMATH Keywords: stress intensity factors
zbMATH Keywords: fracture
author: Varun Gupta
author: C. A. Duarte
author: Ivo Babuška
author: U. Banerjee
describes a project that uses: XFEM
MaRDI profile type: Publication
full work available at URL: j.cma.2015.01.014
OpenAlex ID: W1980678687
cites work: Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
cites work: A new cloud-based \(hp\) finite element method
cites work: THE PARTITION OF UNITY METHOD
cites work: The partition of unity finite element method: basic theory and applications
cites work: A finite element method for crack growth without remeshing
cites work: Elastic crack growth in finite elements with minimal remeshing
cites work: High-order extended finite element method for cracked domains
cites work: Improved implementation and robustness study of the X-FEM for stress analysis around cracks
cites work: A simple and efficient preconditioning scheme for Heaviside enriched XFEM
cites work: Crack tip enrichment in the XFEM using a cutoff function
cites work: Large sliding contact along branched discontinuities with X-FEM
cites work: Inexact Schwarz-algebraic multigrid preconditioners for crack problems modeled by extended finite element methods
cites work: A robust preconditioning technique for the extended finite element method
cites work: A stabilization technique for the regularization of nearly singular extended finite elements
cites work: On the construction of blending elements for local partition of unity enriched finite elements
cites work: A corrected XFEM approximation without problems in blending elements
cites work: Fast integration and weight function blending in the extended finite element method
cites work: A non-conformal extended finite element approach: integral matching Xfem
cites work: Blending in the extended finite element method by discontinuous Galerkin and assumed strain methods
cites work: Enhanced blending elements for XFEM applied to linear elastic fracture mechanics
cites work: An optimally convergent discontinuous Galerkin-based extended finite element method for fracture mechanics
cites work: 3D corrected XFEM approach and extension to finite deformation theory
cites work: Generalized finite element enrichment functions for discontinuous gradient fields
cites work: Stable generalized finite element method (SGFEM)
cites work: A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics
cites work: On the path independency of the point-wise \(J\) integral in three-dimensions
cites work: Q4763020
cites work: Q4000182
cites work: An extended finite element method with higher-order elements for curved cracks
cites work: Generalized finite element method enrichment functions for curved singularities in 3D fracture mechanics problems
cites work: A Quasi-Dual Function Method for Extracting Edge Stress Intensity Functions
cites work: Extraction of stress intensity factors from generalized finite element solutions
cites work: Numerical analysis of singularities in two‐dimensions part 1: Computation of eigenpairs
cites work: Singularities in elliptic boundary value problems and elasticity and their connection with failure initiation.
cites work: Linear dependence problems of partition of unity-based generalized FEMs
cites work: A new partition of unity finite element free from the linear dependence problem and possessing the delta property
cites work: Stable enrichment and local preconditioning in the particle-partition of unity method
cites work: The contour integral method for loaded cracks
cites work: Analysis and applications of a generalized finite element method with global-local enrichment functions
cites work: Analysis of three-dimensional fracture mechanics problems: A two-scale approach using coarse-generalized FEM meshes
cites work: Arbitrary branched and intersecting cracks with the extended finite element method
cites work: hp-Generalized FEM and crack surface representation for non-planar 3-D cracks
cites work: Non-planar 3D crack growth by the extended finite element and level sets-Part I: Mechanical model
cites work: Crack propagation with the extended finite element method and a hybrid explicit-implicit crack description
DOI: 10.1016/J.CMA.2015.01.014
description: scientific article; zbMATH DE number 7042626