An adapted deflated conjugate gradient solver for robust extended/generalised finite element solutions of large scale, 3D crack propagation problems
From MaRDI portal
Publication:2142146
DOI10.1016/j.cma.2022.114937OpenAlexW3213624695MaRDI QIDQ2142146
Konstantinos Agathos, Tim Dodwell, E. N. Chatzi, Stéphane Pierre Alain Bordas
Publication date: 27 May 2022
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.09294
Numerical optimization and variational techniques (65K10) 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)
Related Items
Uses Software
Cites Work
- Stable generalized finite element method (SGFEM)
- A simple and efficient preconditioning scheme for Heaviside enriched XFEM
- A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics
- Comparison of two-level preconditioners derived from deflation, domain decomposition and multigrid methods
- Bridging proper orthogonal decomposition methods and augmented Newton-Krylov algorithms: an adaptive model order reduction for highly nonlinear mechanical problems
- Analysis and applications of a generalized finite element method with global-local enrichment functions
- Derivative recovery and a posteriori error estimate for extended finite elements
- \textit{BoomerAMG}: A parallel algebraic multigrid solver and preconditioner
- The partition of unity finite element method: basic theory and applications
- Efficient sparse LU factorization with left-right looking strategy on shared memory multiprocessors
- Multiple crack detection in 3D using a stable XFEM and global optimization
- On POD-based deflation vectors for DPCG applied to porous media problems
- Stable GFEM (SGFEM): improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics
- The design and analysis of the generalized finite element method
- A stable generalized/extended FEM with discontinuous interpolants for fracture mechanics
- Improving the conditioning of XFEM/GFEM for fracture mechanics problems through enrichment quasi-orthogonalization
- A novel multi-grid based reanalysis approach for efficient prediction of fatigue crack propagation
- Updating strategy of a domain decomposition preconditioner for parallel solution of dynamic fracture problems
- 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
- Preconditioned conjugate gradient solvers for the generalized finite element method
- Error-controlled adaptive extended finite element method for 3D linear elastic crack propagation
- Stable 3D extended finite elements with higher order enrichment for accurate non planar fracture
- Stabilized X-FEM for heaviside and nonlinear enrichments
- Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps
- 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
- High-performance modules for solving large-scale, strongly anisotropic elliptic problems with applications to aerospace composites
- Deflated preconditioned conjugate gradient solvers for linear elasticity
- Inexact Schwarz-algebraic multigrid preconditioners for crack problems modeled by extended finite element methods
- A Quasi-algebraic Multigrid Approach to Fracture Problems Based on Extended Finite Elements
- An algebraic multigrid approach to solve extended finite element method based fracture problems
- A robust preconditioning technique for the extended finite element method
- Deflation of Conjugate Gradients with Applications to Boundary Value Problems
- The extended/generalized finite element method: An overview of the method and its applications
- Improved implementation and robustness study of the X-FEM for stress analysis around cracks
- A study of the representation of cracks with level sets
- An extended finite element library
- A posteriorierror estimation for extended finite elements by an extended global recovery
- Recycling Krylov Subspaces for Sequences of Linear Systems
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Vector level sets for description of propagating cracks in finite elements
- A Deflated Version of the Conjugate Gradient Algorithm
- A finite element method for crack growth without remeshing
- High-order extended finite element method for cracked domains
- Two-level dynamic scheduling in PARDISO: Improved scalability on shared memory multiprocessing systems
