New superconvergence estimates of FEM for time-dependent Joule heating problem

DOI10.1016/J.CAMWA.2022.02.011OpenAlexW4214874115MaRDI QIDQ2122602

Xiangyu Shi, Haijie Wang, Lin-Zhang Lu

Publication date: 7 April 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2022.02.011

zbMATH Keywords

FEMsemi-discrete and fully-discrete schemeslinear triangular elementJoule heating problemsupercloseness and superconvergence

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

Related Items (2)

Unconditionally superconvergent error estimates of a linearized Galerkin finite element method for the nonlinear thermistor problem ⋮ Novel superconvergence analysis of a low order FEM for nonlinear time-fractional Joule heating problem

Cites Work

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