MULTIPLICATIVE SCHWARZ ALGORITHM WITH TIME STEPPING ALONG CHARACTERISTIC FOR CONVECTION DIFFUSION EQUATIONS

MULTIPLICATIVE SCHWARZ ALGORITHM WITH TIME STEPPING ALONG CHARACTERISTIC FOR CONVECTION DIFFUSION EQUATIONS

导出

摘要 Examines the convection diffusion problems using domain decomposition method. Presentation of continuous and discrete convection diffusion equations; Kinds of multiplicative Schwarz algorithms; Optimal order error estimate results. Examines the convection diffusion problems using domain decomposition method. Presentation of continuous and discrete convection diffusion equations; Kinds of multiplicative Schwarz algorithms; Optimal order error estimate results.

作者 Rui, HX Yang, DP

机构地区 Shandong Univ

出处《Journal of Computational Mathematics》 SCIE EI CSCD 2001年第5期501-510,共10页 计算数学（英文）

基金 National Natural Science Foundation of China (No. 10071044) and Major Basic Researches Program of China.

关键词 multiplicative Schwarz method convection diffusion equation CHARACTERISTIC error estimate multiplicative Schwarz method convection diffusion equation characteristic error estimate

分类号 O241.8 [理学—计算数学]

引文网络
相关文献

参考文献14

1芮洪兴,羊丹平.SCHWARZ TYPE DOMAIN DECOMPOSITION ALGORITHMS FOR PARABOLIC EQUATIONS AND ERROR ESTIMATES[J].Acta Mathematicae Applicatae Sinica,1998,14(3):300-313. 被引量：2
2羊丹平.APPROXIMATION AND ITS OPTIMAL ERROR ESTIMATE OF DISPLACEMENT OF TWO-PHASE INCOMPRESSIBLE FLOW BY MIXED FINITE ELEMENT AND A MODIFIED METHOD OF CHARACTERISTICS[J].Chinese Science Bulletin,1990,35(20):1686-1689. 被引量：1
3Xiao-Chuan Cai.Additive Schwarz algorithms for parabolic convection-diffusion equations[J]. Numerische Mathematik . 1991 (1)
4X.C. Cai.Multiplicative Schwarz algorithms fornonsymmetric and indifinite problem. SIAM Journal on Numerical Analysis . 1993
5Adams RA.Sobolev Space. . 1975
6Douglas J Jr,Russell T F.Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures. SIAM Journal on Numerical Analysis . 1982
7Douglas JR,Ewing RE,Wheeler MF.The approximation of the pressure by a mixed method in the simulation of miscible displacement. Rairo Analyse Numerique . 1983
8Dawson CN,Dupont TF.Explicit/implicit conservative Galerkin domain decomposition procedures for parabolic problems. Mathematics of Computation . 1992
9Dawson CN,Du Q,Dupont TF.A finite difference domain decomposition algorithm for numerical solution of the heat equation. Mathematics of Computation . 1991
10Bramble JH,Pasciak JE,Wang J,Xu J.Convergence estimates for product iterative methods with applications to domain decomposition. Mathematics of Computation . 1991

共引文献1

1田敏,羊丹平.热传导方程的一类新型重叠型并行区域分解有限差分算法[J].高等学校计算数学学报,2008,30(1):14-25. 被引量：5

1赵俊宁.SINGULAR SOLUTIONS FOR A CONVECTION DIFFUSION EQUATION WITH ABSORPTION[J].Acta Mathematica Scientia,1995,15(4):431-441. 被引量：2
2芮洪兴,羊丹平.PARALLEL SCHWARZ ALGORITHMS FOR PARABOLIC EQUATIONS AND ERROR ESTIMATES[J].Numerical Mathematics A Journal of Chinese Universities(English Series),1997,6(1):45-56.
3杨海天,高强,郭杏林,邬瑞锋.A NEW ALGORITHM OF TIME STEPPING IN DYNAMIC VISCOELASTIC PROBLEMS[J].Applied Mathematics and Mechanics(English Edition),2001,22(6):650-657.
4陆云光,Christian KLINGENBERG,Ujjwal KOLEY,Xuezhou LU.DECAY RATE FOR DEGENERATE CONVECTION DIFFUSION EQUATIONS IN BOTH ONE AND SEVERAL SPACE DIMENSIONS[J].Acta Mathematica Scientia,2015,35(2):281-302. 被引量：2
5ZENG Jinping ZHOU Shuzi (Department of Applied Mathematics, Hunan University, Changsha 410082, China) WANG Lieheng (ICMSEC, Chinese Academy of Sciences, Beijing 100080, China).CONVERGENCE RATE ANALYSIS OF MULTIPLICATIVE SCHWARZ ALGORITHM FOR ELLIPTIC VARIATIONAL INEQUALITIES[J].Journal of Systems Science & Complexity,2001,14(3):247-254.
6周叔子,丁立新.A parallel Schwarz algorithm for variational inequalities[J].Chinese Science Bulletin,1996,41(13):1061-1064. 被引量：2
7Wei-dong ZHAO, Dong LIANGSchool of Mathematics and System Sciences, Shandong University, Jinan 250100, ChinaDepartment of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, Ontario, M3J 1P3, Canada.Modified High-order Upwind Method for Convection Diffusion Equation[J].Acta Mathematicae Applicatae Sinica,2002,18(1):131-146. 被引量：2
8刘洋,李宏,何斯日古楞.Mixed time discontinuous space-time finite element method for convection diffusion equations[J].Applied Mathematics and Mechanics(English Edition),2008,29(12):1579-1586. 被引量：1
9Liyong Zhu,Guangwei Yuan,Qiang Du.An Explicit-Implicit Predictor-Corrector Domain Decomposition Method for Time Dependent Multi-Dimensional Convection Diffusion Equations[J].Numerical Mathematics(Theory,Methods and Applications),2009,2(3):301-325. 被引量：1
10周叔子,曾金平,单桂华.一类非线性椭圆问题的schwarz算法[J].计算数学,2003,25(2):171-176.

Journal of Computational Mathematics

2001年第5期

浏览历史

内容加载中请稍等...

MULTIPLICATIVE SCHWARZ ALGORITHM WITH TIME STEPPING ALONG CHARACTERISTIC FOR CONVECTION DIFFUSION EQUATIONS

参考文献14

共引文献1

相关作者

相关机构

相关主题

浏览历史