Quadrature methods with high accuracy and their extrapolations for solving boundary integral equations of stead stokes problem

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 1999, Vol. 16 ›› Issue (6): 561-567.

Quadrature methods with high accuracy and their extrapolations for solving boundary integral equations of stead stokes problem

Lü Tao¹, Huang Jing²

1. Institute of Chengdu Computer Applications, Academia Sinica, 610041;
2. No.7 middle school of Chengdu, 610041

Received:1998-09-18 Revised:1999-05-11 Online:1999-11-25 Published:1999-11-25

Abstract

Abstract: By means of Side Israeli's quadrature rules,quadrature methods for solving boundary integral equations of steady Stokes problem are presented,which possess high accuracy and low computing complexities.Moreover,the asymptotic expansions with the odd powers of the errors occur which can improve the accuracy order of the approximations by Richardson's extrapolation.

Key words: Stokes problem, boundary integral equation, quadrature method, extrapolation

CLC Number:

Lü Tao, Huang Jing. Quadrature methods with high accuracy and their extrapolations for solving boundary integral equations of stead stokes problem[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1999, 16(6): 561-567.

[1]	ZHANG Lin, GE Yongbin. High-order Fully Implicit Scheme and Multigrid Method for Two-dimensional Semilinear Diffusion Reaction Equations [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 37(3): 307-319.
[2]	ZHOU Fenglin, WANG Weijia, LIAO Haiyang, LI Guang. A Time Domain Dual Reciprocity Precise Integration Method for Scalar Wave Propagation Problems [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 37(1): 26-36.
[3]	LIU Hui, XING Wei, SHI Deheng, SUN Jinfeng, ZHU Zunlue. Spectroscopic Properties of SiCl (X²Π, A²Σ⁺) Radical [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 32(5): 610-616.
[4]	ZHAI Xujun, ZHAO Kai. Conservative Non-equlibrium Extrapolation Boundary Condition in Lattice Boltzmann Method [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 29(3): 347-353.
[5]	YAO Xiongliang, SUN Shili, ZHANG Aman. Efficient Calculation of 3D Frequency-domain Green Functions [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 26(4): 564-568.
[6]	PENG Jianshe, LIU Yan, YANG Jie. Convolution Semi-analytical Differential Quadrature Method for Structural Dynamic Response [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 26(3): 409-414.
[7]	HUANG Jin, ZHU Rui, Lü Tao. A Quadrature Method and Splitting Extrapolation for Second-kind Boundary Integral Equations in Elasticity Problems [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 23(6): 706-712.
[8]	LI Chen, WU Xiong-hua. A Linearized Differential Quadrature Method for Navier-Stokes Equations in the Streamfunction and Vorticity Form [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 23(1): 10-18.
[9]	HUANG Jin, ZHANG Qian-chuan, LU Tao. A Quadrature Method and its Splitting Extraplation for Mixed Boundary Integral Equations of Stable Problems [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2005, 22(6): 90-94.
[10]	ZHOU Chun Hua. DOMAIN DECOMPOSITION FOR GENERALIZED STOKES PROBLEM ON NON-COINCIDENT MESHES AND A POSTERIORI ERROR ESTIMATION [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 17(4): 372-380.
[11]	Peng Jianshe, Zhang Jingyu, Yang Jie. DQ-SEMIANALYTICAL METHOD WITH TIME POINTS FOR STRUCTURE DYNAMIC ANALYSIS [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1998, 15(2): 239-243.
[12]	Lü Tao, Ma Chang zheng. A HIGH PRECISION COMBINATION METHOD OF NYSTR?M APPROXIMATIONS FOR SOLVING THE BOUNDARY INTEGRAL EQUATIONS OF THE SECOND KIND [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1994, 11(1): 75-84.
[13]	Wang Shenlin. A GENERALIZED DIFFERENCE APPROXIMATION OFSTOKES EQUATIONS USING NONCONFORMING ELEMENTS [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1993, 10(2): 129-136.
[14]	Yang Qingmin, Gong An, Xie Jian. THE ASYMPTOTIC EXPANSION AND EXTRAPOLATION OFTHE SOLUTION OF DU FORT-FRANKEL SCHEMEFOR DIFFUSION PROBLEMS [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1993, 10(1): 1-8.
[15]	Xuan Qiwo, Yang Haito, Wu Ziqian. THE DOUBLE EQUATIONS METHOD OF DIFFERENCE-BOUNDARY ELEMENT TECHNIQUE FORHEAT PROBLEM [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1990, 7(2): 143-152.

Quadrature methods with high accuracy and their extrapolations for solving boundary integral equations of stead stokes problem

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Authors

Reviewers

Journal Online

About Journal