A Posteriori Estimator for the Adaptive Solution of a Quasi-Static Fracture Phase-Field Model with Irreversibility Constraints
DOI10.1137/21M1427437zbMath1490.65212arXiv2106.09469OpenAlexW3171744935MaRDI QIDQ5864075
Mirjam Walloth, Winnifried Wollner
Publication date: 3 June 2022
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.09469
phase-field fractureGalerkin functionalresidual-type a posteriori error estimatorrobust a posteriori error estimation
Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)
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