A general finite element method: extension of variational analysis for nonlinear heat conduction with temperature-dependent properties and boundary conditions, and its implementation as local refinement

DOI10.1016/j.camwa.2021.08.024OpenAlexW3198413911MaRDI QIDQ2234849

Yihe Wang, Jianxing Leng, Xin Yao

Publication date: 19 October 2021

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2021.08.024

zbMATH Keywords

divergence between Galerkin residual and variational analysesgeneral FEM for nonlinear transient heat conductioninduced nonlinearity of FEMlocal refinement and optimizationtemperature-dependent properties and boundary conditions

Mathematics Subject Classification ID

Uses Software

• FEAPpv

Cites Work

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• The \(hp\)-adaptive FEM based on continuous Sobolev embeddings: isotropic refinements
• An edge-based smoothed point interpolation method (ES-PIM) for heat transfer analysis of rapid manufacturing system
• Transient one-dimensional heat conduction problems solved by finite element
• A smoothed finite element method for mechanics problems
• Three-dimensional thermo-elastoplastic analysis of thick functionally graded plates using the meshless local Petrov-Galerkin method
• Optimal convergence behavior of adaptive FEM driven by simple \((h-h/2)\)-type error estimators
• Anisotropic adaptivity of the \(p\)-FEM for time-harmonic acoustic wave propagation

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