Nonlinear field-split preconditioners for solving monolithic phase-field models of brittle fracture
From MaRDI portal
Publication:2679504
DOI10.1016/j.cma.2022.115733OpenAlexW4309576661MaRDI QIDQ2679504
Hardik Kothari, Alena Kopaničáková, Rolf H. Krause
Publication date: 20 January 2023
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.13738
Related Items
Truncated nonsmooth Newton multigrid for phase-field brittle-fracture problems, with analysis ⋮ Dynamic hydraulic fracturing in partially saturated porous media ⋮ A modified combined active-set Newton method for solving phase-field fracture into the monolithic limit
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Regularized variational theories of fracture: a unified approach
- An augmented-Lagrangian method for the phase-field approach for pressurized fractures
- A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
- Regularized formulation of the variational brittle fracture with unilateral contact: numerical experiments
- A variational model for fracture mechanics: Numerical experiments
- \textit{BoomerAMG}: A parallel algebraic multigrid solver and preconditioner
- Numerical experiments in revisited brittle fracture
- A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach
- A phase-field approach to conchoidal fracture
- Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures
- Revisiting brittle fracture as an energy minimization problem
- On penalization in variational phase-field models of brittle fracture
- A review on phase-field models of brittle fracture and a new fast hybrid formulation
- Preconditioning strategies for vectorial finite element linear systems arising from phase-field models for fracture mechanics
- Stochastic phase-field modeling of brittle fracture: computing multiple crack patterns and their probabilities
- Matrix-free multigrid solvers for phase-field fracture problems
- Interior-point methods for the phase-field approach to brittle and ductile fracture
- Second-order phase-field formulations for anisotropic brittle fracture
- Updating strategy of a domain decomposition preconditioner for parallel solution of dynamic fracture problems
- On the BFGS monolithic algorithm for the unified phase field damage theory
- A recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture
- An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters
- High-accuracy phase-field models for brittle fracture based on a new family of degradation functions
- The multiscale finite element method for nonlinear continuum localization problems at full fine-scale fidelity, illustrated through phase-field fracture and plasticity
- An accelerated staggered scheme for variational phase-field models of brittle fracture
- An efficient and robust monolithic approach to phase-field quasi-static brittle fracture using a modified Newton method
- A line search assisted monolithic approach for phase-field computing of brittle fracture
- A framework for polyconvex large strain phase-field methods to fracture
- Modified Newton methods for solving fully monolithic phase-field quasi-static brittle fracture propagation
- An adaptive multiscale phase field method for brittle fracture
- Anisotropic mesh adaptation for crack propagation induced by a thermal shock in 2D
- Multiphysics phase-field fracture. Modeling, adaptive discretizations, and solvers
- A time-discrete model for dynamic fracture based on crack regularization
- Numerical implementation of the variational formulation for quasi-static brittle fracture
- Nonlinear Preconditioning: How to Use a Nonlinear Schwarz Method to Precondition Newton's Method
- Thermodynamically consistent algorithms for a finite-deformation phase-field approach to fracture
- Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
- Newton Methods for Nonlinear Problems
- Approximation of functional depending on jumps by elliptic functional via t-convergence
- Trust Region Methods
- A Note on Adaptive Nonlinear Preconditioning Techniques
- Nonlinearly Preconditioned Inexact Newton Algorithms
- Choosing the Forcing Terms in an Inexact Newton Method
- An Analysis of Approximate Nonlinear Elimination
- VI. The phenomena of rupture and flow in solids
- Field-Split Preconditioned Inexact Newton Algorithms
- An Error-Oriented Newton/Inexact Augmented Lagrangian Approach for Fully Monolithic Phase-Field Fracture Propagation
This page was built for publication: Nonlinear field-split preconditioners for solving monolithic phase-field models of brittle fracture
