Analysis of 2D heat conduction in nonlinear functionally graded materials using a local semi-analytical meshless method

DOI10.3934/math.2021726OpenAlexW3197019057MaRDI QIDQ2142840

Chao Wang, Yanpeng Gong, Fajie Wang

Publication date: 30 May 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021726

zbMATH Keywords

heat conductionKirchhoff transformationnonlinear functionally graded materiallocal knot methodsemi-analytical meshless method

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Second-order parabolic equations (35K10) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (11)

Localized singular boundary method for the simulation of large-scale problems of elliptic operators in complex geometries ⋮ Analysis of the interior acoustic wave propagation problems using the modified radial point interpolation method (M-RPIM) ⋮ The localized method of fundamental solutions for 2D and 3D second-order nonlinear boundary value problems ⋮ Magneto-thermal-mechanical analysis of functionally graded thick-walled spherical vessels ⋮ A localized collocation solver based on fundamental solutions for 3D time harmonic elastic wave propagation analysis ⋮ Analysis of 3D transient heat conduction in functionally graded materials using a local semi-analytical space-time collocation scheme ⋮ Transient analyses of wave propagations in nonhomogeneous media employing the novel finite element method with the appropriate enrichment function ⋮ Numerical investigation of the element-free Galerkin method (EFGM) with appropriate temporal discretization techniques for transient wave propagation problems ⋮ Space-time backward substitution method for nonlinear transient heat conduction problems in functionally graded materials ⋮ A regularized fast multipole method of moments for rapid calculation of three-dimensional time-harmonic electromagnetic scattering from complex targets ⋮ Dispersion error reduction for interior acoustic problems using the radial point interpolation meshless method with plane wave enrichment functions

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