Superconvergence in \(H^1\)-norm of a difference finite element method for the heat equation in a 3D spatial domain with almost-uniform mesh

DOI10.1007/s11075-020-00892-yzbMath1456.65065OpenAlexW3009848594MaRDI QIDQ2219449

Ruijian He, Xinlong Feng, Zhang-Xin Chen

Publication date: 20 January 2021

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-020-00892-y

zbMATH Keywords

second-order convergence3D heat equationalmost-uniform meshdifference finite element methodpost-processed

Mathematics Subject Classification ID

Heat equation (35K05) 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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Diffusive and convective heat and mass transfer, heat flow (80A19)

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