段雅丽, 张晓丹. 一种求解二维热传导方程的高效算法——ETF-FDS-MG方法[J]. 工程科学学报, 2001, 23(5): 470-473. DOI: 10.13374/j.issn1001-053x.2001.05.023
引用本文: 段雅丽, 张晓丹. 一种求解二维热传导方程的高效算法——ETF-FDS-MG方法[J]. 工程科学学报, 2001, 23(5): 470-473. DOI: 10.13374/j.issn1001-053x.2001.05.023
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DUAN Yali, ZHANG Xiaodan. An Efficient Algorithm for Two-Dimension Heat-conduction Equation ETF-FDS-MG[J]. Chinese Journal of Engineering, 2001, 23(5): 470-473. DOI: 10.13374/j.issn1001-053x.2001.05.023
Citation: DUAN Yali, ZHANG Xiaodan. An Efficient Algorithm for Two-Dimension Heat-conduction Equation ETF-FDS-MG[J]. Chinese Journal of Engineering, 2001, 23(5): 470-473. DOI: 10.13374/j.issn1001-053x.2001.05.023
shu

一种求解二维热传导方程的高效算法——ETF-FDS-MG方法

An Efficient Algorithm for Two-Dimension Heat-conduction Equation ETF-FDS-MG

    摘要
  • 摘要: 针对二维热传导问题,提出了时间为三阶、空间为二阶的无条件稳定的ETF-FDS-MG算法(Extended Trapezoidal Formula Finite Difference Scheme Multigrid),分析了其精度和稳定性,证明了其收敛性.数值分析实例说明ETF-FDS-MG算法的计算效率优于前人的FE-MG(有限元-多重网格)算法.

     

    Abstract: An efficient algorithm is devised and analyzed for Two-Dimension Heat-conduction equation. It is proved that the ETF-FDS-MG(Extended Trapezoidal Formula Finite Difference Scheme Multigrid) method is third-order in time, two-order in space, unconditionally stable and high order convergent. Numerical example confirms the ETF-FDS-MG method is superior to the FE-MG(Finite Element Multigrid) method.

     

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