@Article{cmc.2020.05022,
AUTHOR = {Weihua Fang, Zhilin An, Tiantang Yu, Tinh Quoc Bui},
TITLE = {Analysis of Unsteady Heat Transfer Problems with Complex Geometries Using Isogeometric Boundary Element Method},
JOURNAL = {Computers, Materials \& Continua},
VOLUME = {62},
YEAR = {2020},
NUMBER = {2},
PAGES = {929--962},
URL = {http://www.techscience.com/cmc/v62n2/38286},
ISSN = {1546-2226},
ABSTRACT = {Numerical analysis of unsteady heat transfer problems with complex 
geometries by the isogeometric boundary element method (IGABEM) is presented. The 
IGABEM possesses many desirable merits and features, for instance, (a) exactly 
represented arbitrarily complex geometries, and higher-order continuity due to nonuniform rational B-splines (NURBS) shape functions; (b) using NURBS for both field 
approximation and geometric description; (c) directly utilizing geometry data from 
computer-aided design (CAD); and (d) only boundary discretization. The formulation of 
IGABEM for unsteady heat transfer is derived. The domain discretization in terms of 
IGABEM for unsteady heat transfer is required as that in traditional BEM. The internal 
values however are obtained with the analytical formula according to the values on the 
boundaries, and its computations are therefore mainly dependent on the discretization of 
the boundaries. The coordinates of internal control points are obtained with the 
coordinates of control points on the boundaries using Coons body interpolation method. 
The developed approach is tested with several numerical examples from simple to 
complicated geometries. Good agreement is gained with reference solutions derived from 
either analytical or finite element methods.},
DOI = {10.32604/cmc.2020.05022}
}