Analysis and improvements of global-local enrichments for the generalized finite element method
From MaRDI portal
Publication:503931
DOI10.1016/j.cma.2012.06.021zbMath1354.74275OpenAlexW1981380747MaRDI QIDQ503931
C. Armando Duarte, Varun Gupta, Dae-Jin Kim
Publication date: 24 January 2017
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2012.06.021
Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (23)
A two-scale generalized finite element method for fatigue crack propagation simulations utilizing a fixed, coarse hexahedral mesh ⋮ Independent cover meshless method for the simulation of multiple crack growth with arbitrary incremental steps and directions ⋮ Numerical analysis of plane stress free vibration in severely distorted mesh by generalized finite element method ⋮ Scale-bridging with the extended/generalized finite element method for linear elastodynamics ⋮ Bridging multiple structural scales with a generalized finite element method ⋮ Generalized finite element approaches for analysis of localized thermo-structural effects ⋮ A new generalized finite element method for two-scale simulations of propagating cohesive fractures in 3-D ⋮ A non-intrusive iterative generalized finite element method for multiscale coupling of 3-D solid and shell models ⋮ An adaptive global-local generalized FEM for multiscale advection-diffusion problems ⋮ A novel approach to compute the spatial gradients of enriching functions in the X-FEM with a hybrid representation of cracks ⋮ A transient global-local generalized FEM for parabolic and hyperbolic PDEs with multi-space/time scales ⋮ A two-scale solver for linear elasticity problems in the context of parallel message passing ⋮ A high-order generalized finite element method for multiscale structural dynamics and wave propagation ⋮ A two-scale generalized finite element method for parallel simulations of spot welds in large structures ⋮ Three-dimensional improved XFEM (IXFEM) for static crack problems ⋮ On the performance of GFEM with trigonometric enrichment in bidimensional dynamic elastoplastic modelling ⋮ Quasi-optimal rates of convergence for the generalized finite element method in polygonal domains ⋮ Numerical Integration of On-the-Fly-Computed Enrichment Functions in the PUM ⋮ A new approach for physically nonlinear analysis of continuum damage mechanics problems using the generalized/extended finite element method with global-local enrichment ⋮ A global-local strategy with the generalized finite element framework for continuum damage models ⋮ Adaptive wavelet-enriched hierarchical finite element model for polycrystalline microstructures ⋮ 2-D crack propagation analysis using stable generalized finite element method with global-local enrichments ⋮ Global-local analysis with element free Galerkin method
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A two-scale approach for the analysis of propagating three-dimensional fractures
- Stable enrichment and local preconditioning in the particle-partition of unity method
- Transient analysis of sharp thermal gradients using coarse finite element meshes
- Generalized finite element analysis of three-dimensional heat transfer problems exhibiting sharp thermal gradients
- Toward a universal h-p adaptive finite element strategy. I: Constrained approximation and data structure
- Analysis and applications of a generalized finite element method with global-local enrichment functions
- A multiscale finite element method for elliptic problems in composite materials and porous media
- An \(h\)-\(p\) adaptive method using clouds
- The partition of unity finite element method: basic theory and applications
- Use of border regions for improved permeability upscaling
- Generalized finite element method using mesh-based handbooks: application to problems in domains with many voids.
- Modeling quasi-static crack growth with the extended finite element method. II: Numerical applications
- A numerical method with a posteriori error estimation for determining the path taken by a propagating crack
- A new cloud-based \(hp\) finite element method
- The design and analysis of the generalized finite element method
- Extraction of stress intensity factors from generalized finite element solutions
- L2-GLOBAL TO LOCAL PROJECTION: AN APPROACH TO MULTISCALE ANALYSIS
- Convergence of an Adaptive Finite Element Method for Controlling Local Energy Errors
- An efficient zooming method for finite element analysis
- Improved implementation and robustness study of the X-FEM for stress analysis around cracks
- Analysis of three-dimensional fracture mechanics problems: A two-scale approach using coarse-generalized FEM meshes
- hp-Generalized FEM and crack surface representation for non-planar 3-D cracks
- Local mesh refinement in 2 and 3 dimensions
- Interior Estimates for Ritz-Galerkin Methods
- Elastic crack growth in finite elements with minimal remeshing
- Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
- THE PARTITION OF UNITY METHOD
- Locala posteriori error estimates and adaptive control of pollution effects
- Locally Adapted Tetrahedral Meshes Using Bisection
- A finite element method for crack growth without remeshing
- The multigrid method in solid mechanics: Part I—Algorithm description and behaviour
- High-order extended finite element method for cracked domains
- GENERALIZED FINITE ELEMENT METHODS — MAIN IDEAS, RESULTS AND PERSPECTIVE
- The generalized finite element method
This page was built for publication: Analysis and improvements of global-local enrichments for the generalized finite element method