Convergence analysis of linear or quadratic X-FEM for curved free boundaries
From MaRDI portal
Publication:1667359
DOI10.1016/j.cma.2014.05.025zbMath1423.74879OpenAlexW1974151027MaRDI QIDQ1667359
Publication date: 28 August 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.2014.05.025
Classical linear elasticity (74B05) Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (2)
A stable generalized/extended \(p\)-hierarchical FEM for three-dimensional linear elastic fracture mechanics ⋮ Interface problems with quadratic X-FEM: design of a stable multiplier space and error analysis
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- High order X-FEM and levelsets for complex microstructures: uncoupling geometry and approximation
- Finite element analysis on implicitly defined domains: an accurate representation based on arbitrary parametric surfaces
- Numerical simulation of multiple 3D fracture propagation using arbitrary meshes
- Studied X-FEM enrichment to handle material interfaces with higher order finite element
- Optimal a priori estimates for higher order finite elements for elliptic interface problems
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- The partition of unity finite element method: basic theory and applications
- An extended finite element method with higher-order elements for curved cracks
- Mortar methods with curved interfaces
- Numerical convergence and stability of mixed formulation with X-FEM cut-off
- A stabilized Lagrange multiplier method for the enriched finite-element approximation of contact problems of cracked elastic bodies
- eXtended finite element methods for thin cracked plates with Kirchhoff-Love theory
- Strong and weak arbitrary discontinuities in spectral finite elements
- Improved implementation and robustness study of the X-FEM for stress analysis around cracks
- Higher-order XFEM for curved strong and weak discontinuities
- Crack tip enrichment in the XFEM using a cutoff function
- On the construction of blending elements for local partition of unity enriched finite elements
- Development of the DYNA3D simulation code with automated fracture procedure for brick elements
- New crack‐tip elements for XFEM and applications to cohesive cracks
- 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
This page was built for publication: Convergence analysis of linear or quadratic X-FEM for curved free boundaries
