RI-IGABEM in inhomogeneous heat conduction problems

Isogeometric and NURBS-enhanced boundary element formulations for steady-state heat conduction with volumetric heat source and nonlinear boundary conditions

“…Points for post-process are chosen such that 5 equally spaced points are defined on lines connecting collocation points on the outer surface and inner surface. It should be mentioned that RIM can be used for multi-boundary problems without any modification in coding since the normal vectors on surfaces differentiate boundaries of the problem [36].…”

“…Among these, RIM has distinct advantages of transforming complicated domain integrals without using particular solution and removing various singularities in the domain integrals. RIM has been successfully applied to heat conduction problems with spatially varying [33,35,36] and temperature dependent thermal conductivity [37,38], and heat conduction problems with heat generation [33,34,36]. Moreover, RIM has been also combined with precise integration method to solve transient heat conduction problems including spatially varying thermal conductivity and heat source [39].…”

An isogeometric boundary element method for heat transfer problems of multiscale structures in electronic packaging with arbitrary heat sources

“…It should be pointed out that both the BEM and CAD rely on a surface definition, so the BEM can be seen as a more natural numerical method than the finite element method (FEM) for the tight integration of the isogeometric analysis and CAD modelling. The IGABEM framework has been used in various areas including elastostatics [49][50][51], acoustics [52], heat conduction [53], topology optimization [54][55][56][57], liquid sloshing [58], fracture [59,60], potential problems [61], and underground excavations [62].…”