A locally refined adaptive isogeometric analysis for steady-state heat conduction problems

Published on Aug 1, 2020in Engineering Analysis With Boundary Elements2.884
· DOI :10.1016/J.ENGANABOUND.2020.05.005
Tiantang Yu32
Estimated H-index: 32
(Hohai University),
Bing Chen1
Estimated H-index: 1
(Hohai University)
+ 1 AuthorsTinh Quoc Bui54
Estimated H-index: 54
(TITech: Tokyo Institute of Technology)
Sources
Abstract
Abstract This paper presents an isogeometric analysis with adaptivity using locally refined B-splines (LR B-splines) for steady-state heat conduction simulations in solids. Within this framework, the LR B-splines, which have an efficient and simple local refinement algorithm, are used to represent the geometry, and are also employed for spatial discretization, thus providing a seamless interaction between the CAD models and the numerical analysis. A Zienkiewicz-Zhu a posteriori error estimator in terms of the temperature gradient recovery is used to identify the regions for local mesh refinement. The accuracy and convergence properties of the proposed framework are demonstrated through several two-dimensional isotropic examples. Numerical results indicate good performance of the present method as the adaptive refinement technique yields more accurate solution compared to the uniform global refinement with an improved convergence rate.
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