Subdivision Surface-Based Isogeometric Boundary Element Method for Steady Heat Conduction Problems with Variable Coefficient

The present work couples isogeometric analysis (IGA) and boundary element methods (BEM) for three dimensional steady heat conduction problems with variable coefficients. The Computer-Aided Design (CAD) geometries are built by subdivision surfaces, and meantime the basis functions of subdivision surfaces are employed to discretize the boundary integral equations for heat conduction analysis. Moreover, the radial integration method is adopted to transform the additional domain integrals caused by variable coefficients to the boundary integrals. Several numerical examples are provided to demonstrate the correctness and advantages of the proposed algorithm in the integration of CAD and numerical analysis.

Automated summary

This study couples isogeometric analysis (IGA) and boundary element methods (BEM) for solving three-dimensional steady heat conduction problems with variable coefficients. It utilizes Computer-Aided Design (CAD) for geometric construction and radial integration method for dealing with additional domain integrals caused by variable coefficients. Numerical examples are provided to demonstrate the correctness and advantages of the proposed algorithm in integrating CAD and numerical analysis.