A simple, first-order, well-conditioned, and optimally convergent generalized/extended FEM for two- and three-dimensional linear elastic fracture mechanics
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Publication:2020997
DOI10.1016/j.cma.2020.113388zbMath1506.74439OpenAlexW3081889118MaRDI QIDQ2020997
A. G. Sanchez-Rivadeneira, C. Armando Duarte
Publication date: 26 April 2021
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.2020.113388
Classical linear elasticity (74B05) 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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Uses Software
Cites Work
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- Large sliding contact along branched discontinuities with X-FEM
- Stable generalized finite element method (SGFEM)
- A simple and efficient preconditioning scheme for Heaviside enriched XFEM
- Moderate-degree tetrahedral quadrature formulas
- The partition of unity finite element method: basic theory and applications
- Stable GFEM (SGFEM): improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics
- A new cloud-based \(hp\) finite element method
- The design and analysis of the generalized finite element method
- A stable generalized/extended FEM with discontinuous interpolants for fracture mechanics
- A stable discontinuity-enriched finite element method for 3-D problems containing weak and strong discontinuities
- The stable XFEM for two-phase flows
- A unified enrichment approach addressing blending and conditioning issues in enriched finite elements
- A stable generalized/extended \(p\)-hierarchical FEM for three-dimensional linear elastic fracture mechanics
- Robustness in stable generalized finite element methods (SGFEM) applied to Poisson problems with crack singularities
- A stable generalized finite element method (SGFEM) of degree two for interface problems
- Strongly stable generalized finite element method: application to interface problems
- Simulation of the flow of a viscoelastic fluid around a stationary cylinder using an extended finite element method
- A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics
- A stabilization technique for the regularization of nearly singular extended finite elements
- Inexact Schwarz-algebraic multigrid preconditioners for crack problems modeled by extended finite element methods
- A robust preconditioning technique for the extended finite element method
- Improved implementation and robustness study of the X-FEM for stress analysis around cracks
- Integration of singular enrichment functions in the generalized/extended finite element method for three-dimensional problems
- 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
- New crack‐tip elements for XFEM and applications to cohesive cracks
- A finite element method for crack growth without remeshing
- On error estimator and p‐adaptivity in the generalized finite element method
- On the Finite Element Solution of the Pure Neumann Problem
- High-order extended finite element method for cracked domains