A recycling preconditioning method with auxiliary tip subspace for elastic crack propagation simulation using XFEM
From MaRDI portal
Publication:2133589
DOI10.1016/j.jcp.2021.110910OpenAlexW4200354347MaRDI QIDQ2133589
Publication date: 4 May 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110910
extended finite element methodcrack propagationsequence of linear systemsdomain decomposition preconditionersauxiliary tip subspace
Numerical linear algebra (65Fxx) Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)
Related Items (3)
Domain decomposition methods for 3D crack propagation problems using XFEM ⋮ A preconditioning method with auxiliary crack tip subproblems for dynamic crack propagation based on XFEM ⋮ Improved XFEM (IXFEM): arbitrary multiple crack initiation, propagation and interaction analysis
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stable generalized finite element method (SGFEM)
- A simple and efficient preconditioning scheme for Heaviside enriched XFEM
- Domain integral formulation for stress intensity factor computation along curved three-dimensional interface cracks
- A high-order semi-explicit discontinuous Galerkin solver for 3D incompressible flow with application to DNS and LES of turbulent channel flow
- Projection techniques for iterative solution of \(A\underline x=\underline b\) with successive right-hand sides
- Three-dimensional improved XFEM (IXFEM) for static crack problems
- 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
- A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics
- An Algebraic Convergence Theory for Restricted Additive Schwarz Methods Using Weighted Max Norms
- Inexact Schwarz-algebraic multigrid preconditioners for crack problems modeled by extended finite element methods
- 3D corrected XFEM approach and extension to finite deformation theory
- A robust preconditioning technique for the extended finite element method
- Elastic crack growth in finite elements with minimal remeshing
- Non-planar 3D crack growth by the extended finite element and level sets-Part I: Mechanical model
- A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
- A finite element method for crack growth without remeshing
- Effective Two-Level Domain Decomposition Preconditioners for Elastic Crack Problems Modeled by Extended Finite Element Method
This page was built for publication: A recycling preconditioning method with auxiliary tip subspace for elastic crack propagation simulation using XFEM