A unified enrichment approach addressing blending and conditioning issues in enriched finite elements
From MaRDI portal
Publication:2174163
DOI10.1016/j.cma.2019.02.005zbMath1441.65088OpenAlexW2916499815WikidataQ107259371 ScholiaQ107259371MaRDI QIDQ2174163
Konstantinos Agathos, Stéphane Pierre Alain Bordas, E. N. Chatzi
Publication date: 20 April 2020
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.2019.02.005
Related Items
Stable generalized finite element methods (SGFEM) for interfacial crack problems in bi-materials, An adapted deflated conjugate gradient solver for robust extended/generalised finite element solutions of large scale, 3D crack propagation problems, A stable generalized/extended \(p\)-hierarchical FEM for three-dimensional linear elastic fracture mechanics, A condensed generalized finite element method (CGFEM) for interface problems, Stable generalized finite element method (SGFEM) for three-dimensional crack problems, Condensed generalized finite element method, Preconditioned numerical manifold method for linear elastic fractures, A high-order generalized finite element method for multiscale structural dynamics and wave propagation, A high-order finite element technique with automatic treatment of stress singularities by semi-analytical enrichment, A simple, first-order, well-conditioned, and optimally convergent generalized/extended FEM for two- and three-dimensional linear elastic fracture mechanics, Orthogonalized generalized iso-geometric analysis (OGIGA) and its applications to problems of fracture mechanics, Stable generalized/extended finite element method with global-local enrichment for material nonlinear analysis, Intrinsic extended isogeometric analysis with emphasis on capturing high gradients or singularities, A stable generalized finite element method (SGFEM) of degree two for interface problems, Strongly stable generalized finite element method (SSGFEM) for a non-smooth interface problem. II: A simplified algorithm
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stable generalized finite element method (SGFEM)
- A simple and efficient preconditioning scheme for Heaviside enriched XFEM
- A non-conformal extended finite element approach: integral matching Xfem
- Generalized Gaussian quadrature rules for discontinuities and crack singularities in the extended finite element method
- Prediction of rank deficiency in partition of unity-based methods with plane triangular or quadrilateral meshes
- Investigation of linear dependence problem of three-dimensional partition of unity-based finite element methods
- Higher order stable generalized finite element method
- An \(h\)-\(p\) adaptive method using clouds
- The partition of unity finite element method: basic theory and applications
- An extended finite element method with higher-order elements for curved cracks
- Stable GFEM (SGFEM): improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics
- The orthonormalized generalized finite element method-OGFEM: efficient and stable reduction of approximation errors through multiple orthonormalized enriched basis functions
- A new cloud-based \(hp\) finite element method
- The design and analysis of the generalized finite element method
- Improving the conditioning of XFEM/GFEM for fracture mechanics problems through enrichment quasi-orthogonalization
- Robustness in stable generalized finite element methods (SGFEM) applied to Poisson problems with crack singularities
- Higher-order meshing of implicit geometries. I: Integration and interpolation in cut elements
- Stable 3D extended finite elements with higher order enrichment for accurate non planar fracture
- Linear dependence problems of partition of unity-based generalized FEMs
- Stabilized X-FEM for heaviside and nonlinear enrichments
- Stable generalized finite element method and associated iterative schemes; application to interface problems
- A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics
- Mesh based construction of flat-top partition of unity functions
- A finite element method for the simulation of strong and weak discontinuities in solid mechanics
- A stabilization technique for the regularization of nearly singular extended finite elements
- Well conditioned extended finite elements and vector level sets for three-dimensional crack propagation
- Three-dimensional integration strategies of singular functions introduced by the XFEM in the LEFM
- 3D corrected XFEM approach and extension to finite deformation theory
- A robust preconditioning technique for the extended finite element method
- Improved implementation and robustness study of the X-FEM for stress analysis around cracks
- Higher-order XFEM for curved strong and weak discontinuities
- A high-order generalized FEM for through-the-thickness branched cracks
- Blending in the extended finite element method by discontinuous Galerkin and assumed strain methods
- A corrected XFEM approximation without problems in blending elements
- Crack tip enrichment in the XFEM using a cutoff function
- Fast integration and weight function blending in the extended finite element method
- Enhanced blending elements for XFEM applied to linear elastic fracture mechanics
- 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
- On the construction of blending elements for local partition of unity enriched finite elements
- New crack‐tip elements for XFEM and applications to cohesive cracks
- Extended finite element method for quasi-brittle fracture
- Arbitrary branched and intersecting cracks with the extended finite element method
- A finite element method for crack growth without remeshing
- High-order extended finite element method for cracked domains
- The generalized finite element method