A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach
type: Item
instance of: scholarly article
title: A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach
zbMATH Open document ID: 1423.76239
author: Timo Heister
author: T. Wick
author: Mary F. Wheeler
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2019-03-27T00:00:00Z
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65K15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 74R10
zbMATH DE Number: 7043237
zbMATH Keywords: phase-field
zbMATH Keywords: fracture mechanics
zbMATH Keywords: predictor- corrector mesh adaptivity
zbMATH Keywords: primal-dual active set
describes a project that uses: Trilinos
describes a project that uses: deal.ii
MaRDI profile type: Publication
full work available at URL: j.cma.2015.03.009
OpenAlex ID: W1996486047
cites work: Revisiting brittle fracture as an energy minimization problem
cites work: Numerical experiments in revisited brittle fracture
cites work: The variational approach to fracture
cites work: Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
cites work: A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
cites work: A phase-field description of dynamic brittle fracture
cites work: AN ADAPTIVE FINITE ELEMENT APPROXIMATION OF A GENERALIZED AMBROSIO–TORTORELLI FUNCTIONAL
cites work: A finite element method for crack growth without remeshing
cites work: Stable generalized finite element method (SGFEM)
cites work: Q3994823
cites work: A quasi-static phase-field approach to pressurized fractures
cites work: The Primal-Dual Active Set Strategy as a Semismooth Newton Method
cites work: Variationally consistent discretization schemes and numerical algorithms for contact problems
cites work: Q5491447
cites work: Convergence of iterative coupling for coupled flow and geomechanics
cites work: A Phase-Field Method for Propagating Fluid-Filled Fractures Coupled to a Surrounding Porous Medium
cites work: Approximation of functional depending on jumps by elliptic functional via t-convergence
cites work: Q3992271
cites work: Approximation of free-discontinuity problems
cites work: Numerical implementation of the variational formulation for quasi-static brittle fracture
cites work: An Adaptive Finite Element Approximation of a Variational Model of Brittle Fracture
cites work: Numerical methods for large-scale nonlinear optimization
cites work: An overview of the Trilinos project
cites work: The anisotropy introduced by the mesh in the finite element approximation of the mumford-shah functional
cites work: Q5598946
cites work: An augmented-Lagrangian method for the phase-field approach for pressurized fractures
cites work: A robust algorithm for configurational-force-driven brittle crack propagation with R-adaptive mesh alignment
cites work: A higher-order phase-field model for brittle fracture: formulation and analysis within the isogeometric analysis framework
DOI: 10.1016/J.CMA.2015.03.009
description: scientific article; zbMATH DE number 7043237