A new boundary element-free Galerkin method using dual CSRBFI for 2D inhomogeneous heat conduction problems

DOI10.1016/J.ENGANABOUND.2021.11.018OpenAlexW3217759859MaRDI QIDQ2118605

Yanyan Li

Publication date: 22 March 2022

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2021.11.018

zbMATH Keywords

boundary element methodelement-free Galerkin methodvariable heat source2D inhomogeneous heat conductioncompactly supported radial basis function interpolation

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Cites Work

• Virtual boundary meshless least square integral method with moving least squares approximation for 2D elastic problem
• Radial integration BEM for solving non-Fourier heat conduction problems
• Compactly supported positive definite radial functions
• The singular boundary method for two-dimensional static thermoelasticity analysis
• Isogeometric dual reciprocity boundary element method for solving transient heat conduction problems with heat sources
• Isogeometric boundary element method for steady-state heat transfer with concentrated/surface heat sources
• Coupling the BEM and analytical solutions for the numerical simulation of transient heat conduction in a heterogeneous solid medium
• RI-IGABEM in inhomogeneous heat conduction problems
• A new meshless method for steady-state heat conduction problems in anisotropic and inhomogeneous media
• Two-dimensional steady heat conduction in functionally gradient materials by triple-reciprocity boundary element method
• Virtual boundary meshless least square collocation method for calculation of 2D multi-domain elastic problems
• A comparison of the boundary element and superposition methods

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