On the use of the extended finite element method with quadtree/octree meshes
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Publication:2880258
DOI10.1002/nme.3070zbMath1235.74296OpenAlexW2144627707MaRDI QIDQ2880258
Patrice Cartraud, R. Allais, Grégory Legrain
Publication date: 12 April 2012
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.3070
Related Items (21)
The scaled boundary finite element method based on the hybrid quadtree mesh for solving transient heat conduction problems ⋮ An adaptively refined XFEM with virtual node polygonal elements for dynamic crack problems ⋮ A weighted Nitsche's method for interface problems with higher-order simplex elements ⋮ A phase-field cohesive zone model integrated with cell-based smoothed finite element method for quasi-brittle fracture simulations of concrete at mesoscale ⋮ Stress analysis of 3D complex geometries using the scaled boundary polyhedral finite elements ⋮ A stable extended FEM formulation for multi-phase problems enforcing the accuracy of the fluxes through Lagrange multipliers ⋮ A finite element method with mesh-separation-based approximation technique and its application in modeling crack propagation with adaptive mesh refinement ⋮ Explicit dynamics with a non-local damage model using the thick level set approach ⋮ 3D simulations of ultrasonic waves in plates using the scaled boundary finite element method and high-order transition elements ⋮ A finite element level set method based on adaptive octree meshes for thermal free‐surface flows ⋮ Three dimensional automatic refinement method for transient small strain elastoplastic finite element computations ⋮ Automatic image-based analyses using a coupled quadtree-SBFEM/SCM approach ⋮ Automatic digital-numerical integrated analysis by the image-based meshless method ⋮ Nonlocal damage modelling by the scaled boundary finite element method ⋮ Tensor-based methods for numerical homogenization from high-resolution images ⋮ High order X-FEM and levelsets for complex microstructures: uncoupling geometry and approximation ⋮ Finite element computations over quadtree meshes: strain smoothing and semi-analytical formulation ⋮ An octree-based immersogeometric approach for modeling inertial migration of particles in channels ⋮ Automatic polyhedral mesh generation and scaled boundary finite element analysis of STL models ⋮ An integrated approach for the conformal discretization of complex inclusion-based microstructures ⋮ An X-FEM and level set computational approach for image-based modelling: Application to homogenization
Uses Software
Cites Work
- Unnamed Item
- Extended finite element method on polygonal and quadtree meshes
- Analysis and applications of a generalized finite element method with global-local enrichment functions
- Stability of incompressible formulations enriched with X-FEM
- Adaptive computations using material forces and residual-based error estimators on quadtree meshes
- Derivative recovery and a posteriori error estimate for extended finite elements
- Aspects of an adaptive \(hp\)-finite element method: Adaptive strategy, conforming approximation and efficient solvers
- Generalized finite element method using mesh-based handbooks: application to problems in domains with many voids.
- A computational approach to handle complex microstructure geometries.
- On some techniques for approximating boundary conditions in the finite element method
- The design and analysis of the generalized finite element method
- A posteriori error estimation for generalized finite element methods
- A finite element method for the simulation of strong and weak discontinuities in solid mechanics
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- The extended finite element method for rigid particles in Stokes flow
- Modelling crack growth by level sets in the extended finite element method
- eXtended Stochastic Finite Element Method for the numerical simulation of heterogeneous materials with random material interfaces
- A stable 3D contact formulation using X-FEM
- Imposing Dirichlet boundary conditions with Nitsche's method and spline-based finite elements
- Analysis of three-dimensional crack initiation and propagation using the extended finite element method
- Improved implementation and robustness study of the X-FEM for stress analysis around cracks
- Imposing Dirichlet boundary conditions in the extended finite element method
- An Extended Finite Element Method for Two-Phase Fluids
- An efficient finite element method for embedded interface problems
- Error estimation and adaptivity for discontinuous failure
- A stable Lagrange multiplier space for stiff interface conditions within the extended finite element method
- Strict and effective bounds in goal-oriented error estimation applied to fracture mechanics problems solved with XFEM
- A bubble-stabilized finite element method for Dirichlet constraints on embedded interfaces
- A corrected XFEM approximation without problems in blending elements
- A recovery-type error estimator for the extended finite element method based onsingular+smoothstress field splitting
- A posteriorierror estimation for extended finite elements by an extended global recovery
- Robust and direct evaluation ofJ2in linear elastic fracture mechanics with the X-FEM
- A local multigrid X-FEM strategy for 3-D crack propagation
- Classical and enriched finite element formulations for Bloch-periodic boundary conditions
- Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel conformal mapping
- THE PARTITION OF UNITY METHOD
- Natural hierarchical refinement for finite element methods
- Mechanically based models: Adaptive refinement for B-spline finite element
- Arbitrary branched and intersecting cracks with the extended finite element method
- Non-planar 3D crack growth by the extended finite element and level sets-Part I: Mechanical model
- A consistent geometrically non-linear approach for delamination
- A finite element method for crack growth without remeshing
- High-order extended finite element method for cracked domains
- Modeling holes and inclusions by level sets in the extended finite element method
- An extended finite element method for modeling crack growth with frictional contact.
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