期刊论文

Chengzhi Liu

英文

Mathematics and Computers in Simulation

0378-4754

2021

185

372-383

10.1016/j.matcom.2021.01.002

The authors would like to thank the supports of National Natural Science Foundation of China (Grant No. 11371075 and No. 11771453), Hunan Key Laboratory of Mathematical Modeling and Analysis in Engineering, Natural Science Foundation of Hunan Province, China (Grant No. 2020JJ5267) and Scientific Research Funds of Hunan Provincial Education Department (Grant No. 18C0877 and No. 19B301).

本校为其他机构

Based on the diagonally compensated reduction, the preconditioned progressive iterative approximation (PPIA) for tensor product Bézier patches is presented. Due to the effectiveness of the preconditioner, the convergence rate of progressive iterative approximation (PIA) is accelerated significantly. To improve the robustness and reduce the computational complexity of PPIA, the inexact PPIA format for tensor product Bézier patches is presented. Several numerical examples are presented to illustrate the effectiveness of the proposed methods. © 2021 Interna...