Preconditioned progressive iterative approximation for tensor product Bézier patches

Liu，Chengzhi1; Liu，Zhongyun2; Han，Xuli3

2021-07-01

10.1016/j.matcom.2021.01.002

MATHEMATICS AND COMPUTERS IN SIMULATION   影响因子和分区

0378-4754

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.

Diagonally compensated reduction IPPIA PPIA Preconditioning technique Tensor product Bézier patch

SCI ; EI

英语

其他

WOS:000632026600019

20210409818358

Numerical methods ; Tensors

Algebra:921.1 ; Numerical Methods:921.6

ENGINEERING

2-s2.0-85099633263

Scopus

1.School of Mathematics and Finance,Hunan University of Humanities,Science and Technology,Loudi,China
2.School of Mathematics and Statistics,Changsha University of Science and Technology,Changsha,China
3.Department of Mathematics,Southern University of Science and Technology,Shenzhen,China

Liu，Chengzhi,Liu，Zhongyun,Han，Xuli. Preconditioned progressive iterative approximation for tensor product Bézier patches[J]. MATHEMATICS AND COMPUTERS IN SIMULATION,2021,185:372-383.

Liu，Chengzhi,Liu，Zhongyun,&Han，Xuli.(2021).Preconditioned progressive iterative approximation for tensor product Bézier patches.MATHEMATICS AND COMPUTERS IN SIMULATION,185,372-383.

Liu，Chengzhi,et al."Preconditioned progressive iterative approximation for tensor product Bézier patches".MATHEMATICS AND COMPUTERS IN SIMULATION 185(2021):372-383.