New Techniques in Designing Finite Difference Domain Decomposition Algorithm for the Heat Equation

机译：热方程有限差分区域分解算法设计的新技术。

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This paper presents a new technique in designing the finite difference domain decomposition algorithm for the heat-equation. The basic procedure is to define the finite difference schemes at the interface grid points with smaller time step Δt = Δt / m (m is a positive integer) by the classical explicit scheme. The stability region of the algorithm is expanded m times comparing with the classical explicit scheme, and the prior error estimates for the numerical solutions are obtained for some algorithms when m = 2 or m = 3. Numerical experiments on stability and accuracy are also presented.

机译：本文提出了一种设计热方程的有限差分域分解算法的新技术。基本过程是通过经典显式方案在具有较小时间步长Δt=Δt/ m（m为正整数）的界面网格点处定义有限差分方案。与经典显式方案相比，该算法的稳定性区域扩大了m倍，并且当m = 2或m = 3时，获得了某些算法数值解的先验误差估计。

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来源
《International Conference on Computational Science and Its Applications(ICCSA 2004) pt.4; 20040514-20040517; Assisi; IT》|2004年|P.1-10|共10页
会议地点 Assisi(IT);Assisi(IT)
作者
Weidong Shen; Shulin Yang;
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作者单位

Institute of Applied Physics and Computational Mathematics P.O. Box 8009-14, Beijing China;

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原文格式 PDF
正文语种 eng
中图分类理论、方法;
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专利

1. New Finite Difference Domain Decomposition Algorithms for Two-Dimensional Heat Equation [J] . Yuanfeng Jin, Lijie Zhao, Jingyuan Li, Information Technology Journal . 2010,第4期

机译：二维热方程的新的有限差分域分解算法
2. New Finite Difference Domain Decomposition Algorithms for Two-Dimensional Heat Equation [J] . Yuanfeng Jin, Lijie Zhao, Jingyuan Li, Information Technology Journal . 2010,第4期

机译：二维热方程的新有限差分域分解算法
3. NEW DESIGN AND ANALYSIS OF FINITE DIFFERENCE DOMAIN DECOMPOSITION ALGORITHM FOR THE TWO-DIMENSIONAL HEAT EQUATION [J] . Zhengsu WAN, Baolin ZHANG, Guangnan CHENG 系统科学与复杂性：英文版 . 2010,第002期

机译：二维热方程的有限差分域分解算法的新设计与分析
4. New Techniques in Designing Finite Difference Domain Decomposition Algorithm for the Heat Equation [C] . Weidong Shen, Shulin Yang International Conference on Computational Science and its Applications . 2004

机译：为热方程设计有限差分域分解算法的新技术
5. Balancing Domain Decomposition by Constraints Algorithms for Incompressible Stokes Equations with Nonconforming Finite Element Discretizations [D] . Wang, Bin. 2017

机译：具有非协调有限元离散化的不可压缩Stokes方程的约束算法平衡域分解
6. SOME NEW FINITE DIFFERENCE METHODS FOR HELMHOLTZ EQUATIONS ON IRREGULAR DOMAINS OR WITH INTERFACES [O] . Xiaohai Wan, Zhilin Li -1

机译：一些新的有限差分方法Helmholtz方程不规则域或使用INTERFaCEs
7. New techniques in designing finite-difference domain decomposition algorithm for the heat equation [O] . Zhang Bao-Lin, Wan Zheng-Su 2003

机译：热方程设计有限差分域分解算法的新技术

New Techniques in Designing Finite Difference Domain Decomposition Algorithm for the Heat Equation

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