The use of the local truncation error for the increase in accuracy of the linear finite elements for heat transfer problems

DOI10.1016/J.CMA.2017.02.013zbMath1439.80011OpenAlexW2589925562MaRDI QIDQ2309808

Yanyan Li

Publication date: 6 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.2017.02.013

zbMATH Keywords

heat equationLaplace equationlocal truncation errorlinear finite elementsincrease in the order of accuracy

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Thermodynamics in solid mechanics (74A15) 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) Diffusive and convective heat and mass transfer, heat flow (80A19)

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