Stability and convergence proofs for a discontinuous-Galerkin-based extended finite element method for fracture mechanics

DOI10.1016/j.cma.2010.03.008zbMath1231.74440OpenAlexW1981213911MaRDI QIDQ658853

Yongxing Shen, Adrian J. Lew

Publication date: 8 February 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2010.03.008

zbMATH Keywords

fracture mechanicsextended finite element methoddiscontinuous Galerkininfsup condition

Mathematics Subject Classification ID

Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (7)

An adaptively refined XFEM with virtual node polygonal elements for dynamic crack problems ⋮ A hybridizable discontinuous Galerkin formulation for non-linear elasticity ⋮ An interface/boundary-unfitted eXtended HDG method for linear elasticity problems ⋮ A locking-free and optimally convergent discontinuous-Galerkin-based extended finite element method for cracked nearly incompressible solids ⋮ Extended finite element methods for optimal control problems governed by Poisson equation in non-convex domains ⋮ Analytical bounds for efficient crack growth computation ⋮ Massive parallelization of the phase field formulation for crack propagation with time adaptivity

Uses Software

• XFEM

Cites Work

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