Isogeometric Boundary Element Analysis for 2D Transient Heat Conduction Problem with Radial Integration Method

This paper presents an isogeometric boundary element method (IGABEM) for transient heat conduction analysis. The Non-Uniform Rational B-spline (NURBS) basis functions, which are used to construct the geometry of the structures, are employed to discretize the physical unknowns in the boundary integral formulations of the governing equations. Bezier extraction technique is employed to accelerate the evaluation of NURBS basis functions. We adopt a radial integration method to address the additional domain integrals. The numerical examples demonstrate the advantage of IGABEM in dimension reduction and the seamless connection between CAD and numerical analysis.

Automated summary

This paper introduces an isogeometric boundary element method (IGABEM) for transient heat conduction analysis, utilizing Non-Uniform Rational B-spline (NURBS) basis functions for geometry construction and discretization of physical unknowns in governing equations. Bezier extraction technique and radial integration method are employed for efficient computation, demonstrating the advantages of IGABEM in dimension reduction and seamless integration between CAD and numerical analysis.