Isogeometric Boundary Element Method for Two-Dimensional Steady-State Non-Homogeneous Heat Conduction Problem

The isogeometric boundary element technique (IGABEM) is presented in this study for steady-state inhomogeneous heat conduction analysis. The physical unknowns in the boundary integral formulations of the governing equations are discretized using non-uniform rational B-spline (NURBS) basis functions, which are utilized to build the geometry of the structures. To speed up the assessment of NURBS basis functions, the B??zier extraction approach is used. To solve the extra domain integrals, we use a radial integration approach. The numerical examples show the potential of IGABEM for dimension reduction and smooth integration of CAD and numerical analysis.

Automated summary

In this study, the isogeometric boundary element technique (IGABEM) is introduced for steady-state inhomogeneous heat conduction analysis. The physical unknowns in the boundary integral formulations are discretized using non-uniform rational B-spline (NURBS) basis functions to represent the geometry of the structures. The numerical examples demonstrate the potential of IGABEM for dimension reduction and smooth integration of CAD and numerical analysis.