XFEM-Based Fictitious Domain Method for Linear Elasticity Model with Crack

DOI10.1137/15M1008385zbMath1333.74015arXiv1502.03148OpenAlexW2949911926MaRDI QIDQ2797083

Sébastien Court, Olivier Bodart, Valérie Cayol, Jonas Koko

Publication date: 4 April 2016

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.03148

zbMATH Keywords

finite element methodscrackfictitious domain methodsXFEMlinear elasticity model

Mathematics Subject Classification ID

Classical linear elasticity (74B05) 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 (4)

An inverse problem in an elastic domain with a crack: a fictitious domain approach ⋮ A fictitious domain decomposition method for a nonlinear bonded structure ⋮ An interface/boundary-unfitted eXtended HDG method for linear elasticity problems ⋮ A fictitious domain approach for a mixed finite element method solving the two-phase Stokes problem with surface tension forces

Uses Software

• SuperLU
• XFEM
• Qhull
• Getfem++

Cites Work

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