A non-conformal extended finite element approach: integral matching Xfem

DOI10.1016/j.apnum.2010.10.009zbMath1214.74013OpenAlexW1989008653MaRDI QIDQ624981

Patrick Laborde, Elie Chahine, Yves Renard

Publication date: 11 February 2011

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2010.10.009

zbMATH Keywords

fracture mechanicserror estimateconvergence ratemortar condition

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Hybrid analytical and MLS-based NMM for the determination of generalized stress intensity factors, A unified enrichment approach addressing blending and conditioning issues in enriched finite elements, Representation of singular fields without asymptotic enrichment in the extended finite element method, A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics, Stable GFEM (SGFEM): improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics, Optimal convergence analysis for the extended finite element method, The orthonormalized generalized finite element method-OGFEM: efficient and stable reduction of approximation errors through multiple orthonormalized enriched basis functions, Higher order stable generalized finite element method, Crack analysis using numerical manifold method with strain smoothing technique and corrected approximation for blending elements, Interface solutions of partial differential equations with point singularity

Uses Software

• XFEM
• Getfem++

Cites Work

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