Improved XFEM -- an extra-DoF free, well-conditioning, and interpolating XFEM
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Publication:1798589
DOI10.1016/j.cma.2014.11.026zbMath1423.74926OpenAlexW2086272763MaRDI QIDQ1798589
Publication date: 23 October 2018
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.2014.11.026
Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Cites Work
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- Stable generalized finite element method (SGFEM)
- New concepts for moving least squares: an interpolating non-singular weighting function and weighted nodal least squares
- Enforcement of boundary conditions in meshfree methods using interpolating moving least squares
- Prediction of rank deficiency in partition of unity-based methods with plane triangular or quadrilateral meshes
- A new partition of unity finite element free from the linear dependence problem and possessing the delta property
- Generalized finite element analysis of three-dimensional heat transfer problems exhibiting sharp thermal gradients
- Investigation of linear dependence problem of three-dimensional partition of unity-based finite element methods
- Reproducing kernel element method. II: Globally conforming \(I^m/C^n\) hierarchies
- Reproducing kernel element method. III: Generalized enrichment and applications
- Reproducing kernel element method. IV: Globally compatible \(C^n\) (\(n\geqslant 1\)) triangular hierarchy
- The generalized finite element method for Helmholtz equation. II: Effect of choice of handbook functions, error due to absorbing boundary conditions and its assessment
- Analysis and applications of a generalized finite element method with global-local enrichment functions
- The piecewise polynomial partition of unity functions for the generalized finite element methods
- The intrinsic partition of unity method
- An \(h\)-\(p\) adaptive method using clouds
- The partition of unity finite element method: basic theory and applications
- A mesh-based partition of unity method for discontinuity modeling
- Generalized finite element method using mesh-based handbooks: application to problems in domains with many voids.
- A parallel multilevel partition of unity method for elliptic partial differential equations
- A coupled finite element -- element-free Galerkin method
- A new cloud-based \(hp\) finite element method
- The design and analysis of the generalized finite element method
- A posteriori error estimation for generalized finite element methods
- The generalized finite element method for Helmholtz equation: theory, computation, and open problems
- Linear dependence problems of partition of unity-based generalized FEMs
- Extra-dof-free and linearly independent enrichments in GFEM
- A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics
- On XFEM applications to dislocations and interfaces
- The interpolating element-free Galerkin (IEFG) method for two-dimensional potential problems
- Arbitrary discontinuities in finite elements
- THE NUMERICAL MANIFOLD METHOD: A REVIEW
- Conforming local meshfree method
- Numerical manifold space of Hermitian form and application to Kirchhoff's thin plate problems
- New strategies for some issues of numerical manifold method in simulation of crack propagation
- A COMPARISON BETWEEN THE NMM AND THE XFEM IN DISCONTINUITY MODELING
- A GENERALIZED AND EFFICIENT METHOD FOR FINITE COVER GENERATION IN THE NUMERICAL MANIFOLD METHOD
- A PU-BASED 4-NODE QUADRATIC TETRAHEDON AND LINEAR DEPENDENCES ELIMINATION IN THREE-DIMENSIONS
- The extended/generalized finite element method: An overview of the method and its applications
- p-version of the generalized FEM using mesh-based handbooks with applications to multiscale problems
- Numerical manifold method for dynamic nonlinear analysis of saturated porous media
- Finite cover method with multi-cover layers for the analysis of evolving discontinuities in heterogeneous media
- Improved implementation and robustness study of the X-FEM for stress analysis around cracks
- Generalized nodes and high-performance elements
- Two-scale shear band evolution by local partition of unity
- A Generalized Finite Element Method for polycrystals with discontinuous grain boundaries
- Allman's triangle, rotational DOF and partition of unity
- Blending in the extended finite element method by discontinuous Galerkin and assumed strain methods
- The enriched space–time finite element method (EST) for simultaneous solution of fluid–structure interaction
- A corrected XFEM approximation without problems in blending elements
- Fast integration and weight function blending in the extended finite element method
- Surfaces Generated by Moving Least Squares Methods
- Development of high-order manifold method
- 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
- An improved element free Galerkin formulation
- On the construction of blending elements for local partition of unity enriched finite elements
- Finite cover method for linear and non-linear analyses of heterogeneous solids
- The extended finite element method (XFEM) for solidification problems
- A finite element method for crack growth without remeshing
- NUMERICAL ANALYSIS ON PROGRESSIVE FRACTURE BEHAVIOR BY USING ELEMENT-FREE METHOD BASED ON FINITE COVERS
- Advanced 4-node tetrahedrons
- The intrinsic XFEM: a method for arbitrary discontinuities without additional unknowns
- High-order extended finite element method for cracked domains
- Gaussian quadrature formulas for triangles
- A generalized finite element method for the simulation of three-dimensional dynamic crack propagation.
- The generalized finite element method
- Modeling holes and inclusions by level sets in the extended finite element method