Strongly stable generalized finite element method (SSGFEM) for a non-smooth interface problem

DOI10.1016/j.cma.2018.10.018zbMath1440.74454OpenAlexW2898201077WikidataQ129012033 ScholiaQ129012033MaRDI QIDQ1986720

Qinghui Zhang, Ivo M. Babuška, Uday Banerjee

Publication date: 9 April 2020

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.2018.10.018

zbMATH Keywords

convergenceinterfacesingularityGFEM/XFEMscaled condition numberSSGFEM

Mathematics Subject Classification ID

Structured surfaces and interfaces, coexistent phases (74A50) 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 (20)

Stable generalized finite element methods (SGFEM) for interfacial crack problems in bi-materials ⋮ Well-conditioned and optimally convergent second-order generalized/extended FEM formulations for linear elastic fracture mechanics ⋮ A generalized finite element method without extra degrees of freedom for large deformation analysis of three-dimensional elastic and elastoplastic solids ⋮ A condensed generalized finite element method (CGFEM) for interface problems ⋮ Stable generalized finite element method (SGFEM) for three-dimensional crack problems ⋮ Improved enrichments and numerical integrations in SGFEM for interface problems ⋮ Condensed generalized finite element method ⋮ An enriched immersed finite element method for interface problems with nonhomogeneous jump conditions ⋮ DOF‐gathering stable generalized finite element methods for crack problems ⋮ An extended finite element method with polygonal enrichment shape functions for crack propagation and stiff interfaceproblems ⋮ High-Order Enriched Finite Element Methods for Elliptic Interface Problems with Discontinuous Solutions ⋮ Preconditioned numerical manifold method for linear elastic fractures ⋮ A residual-based stabilized finite element formulation for incompressible flow problems in the Arlequin framework ⋮ Stable generalized/extended finite element method with global-local enrichment for material nonlinear analysis ⋮ On the application of stable generalized finite element method for quasilinear elliptic two-point BVP ⋮ A stable generalized finite element method (SGFEM) of degree two for interface problems ⋮ Strongly stable generalized finite element method (SSGFEM) for a non-smooth interface problem. II: A simplified algorithm ⋮ A generalized isogeometric analysis of elliptic eigenvalue and source problems with an interface ⋮ Stable generalized finite element method (SGFEM) for parabolic interface problems ⋮ 2-D fracture mechanics problems by SGFEM

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