Stable generalized finite element method (SGFEM) for parabolic interface problems

DOI10.1016/j.cam.2019.112475zbMath1464.65135OpenAlexW2975103256MaRDI QIDQ2332775

Qinghui Zhang, Peng-Fei Zhu, Ting-Yun Liu

Publication date: 5 November 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2019.112475

zbMATH Keywords

convergenceinterfaceparabolicGFEM/XFEMscaled condition number

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical computation of matrix norms, conditioning, scaling (65F35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (10)

Immersed finite element approximation for semi-linear parabolic interface problems combining with two-grid methods ⋮ Stable generalized finite element methods (SGFEM) for interfacial crack problems in bi-materials ⋮ A condensed generalized finite element method (CGFEM) for interface problems ⋮ Meshfree methods for nonlinear equilibrium radiation diffusion equation with jump coefficient ⋮ Improved enrichments and numerical integrations in SGFEM for interface problems ⋮ A fast sine transform accelerated high-order finite difference method for parabolic problems over irregular domains ⋮ Fully discrete least-squares spectral element method for parabolic interface problems ⋮ 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 generalized isogeometric analysis of elliptic eigenvalue and source problems with an interface

Uses Software

• IIMPACK

Cites Work

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