Solving multi-domain 2D heat conduction problems by the least squares collocation method with RBF interpolation on virtual boundary

DOI10.1016/J.ENGANABOUND.2013.09.003zbMath1297.65186OpenAlexW2088189622MaRDI QIDQ463454

Qiang Xu, Dong-sheng Yang

Publication date: 16 October 2014

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2013.09.003

zbMATH Keywords

heat conductionradial basis functionmeshless methodmulti-domainvirtual boundary element

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary element methods for boundary value problems involving PDEs (65N38)

Uses Software

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Cites Work

• Multi-region heat conduction problems by boundary element method
• A particular solution Trefftz method for nonlinear Poisson problems in heat and mass transfer
• Numerical investigation on convergence of boundary knot method in the analysis of homogeneous Helmholtz, modified Helmholtz, and convection-diffusion problems.
• Unified way for dealing with three-dimensional problems of solid elasticity.
• A meshless, integration-free, and boundary-only RBF technique
• High-order fundamental and general solutions of convection-diffusion equation and their applications to boundary particle method
• Meshfree boundary particle method applied to Helmholtz problems
• Using analytical expressions in radial integration BEM for variable coefficient heat conduction problems
• Virtual boundary meshless least square collocation method for calculation of 2D multi-domain elastic problems
• A meshless BEM for isotropic heat conduction problems with heat generation and spatially varying conductivity
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