| 一种求解二维热传导方程的高效算法──ETF-FDS-MG方法 |
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| 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].北京科技大学学报,2001(5). |
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| 作者姓名： | 段雅丽 张晓丹 |
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| 作者单位： | 北京科技大学应用科学学院 北京100083
(段雅丽)，北京科技大学应用科学学院 北京100083(张晓丹) |
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| 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．
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| 关 键 词： | 二维热传导方程 ETF-FDS-MG 有限元-多重网格 |
An Efficient Algorithm for Two-Dimension Heat-conduction Equation ETF-FDS-MG |
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| DUAN YaIi,ZHANG Xiaodan Applied Science School,UST Beijing,Beijing ,China.An Efficient Algorithm for Two-Dimension Heat-conduction Equation ETF-FDS-MG[J].Journal of University of Science and Technology Beijing,2001(5). |
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| Authors: | DUAN YaIi ZHANG Xiaodan Applied Science School UST Beijing Beijing China |
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| Institution: | DUAN YaIi,ZHANG Xiaodan Applied Science School,UST Beijing,Beijing 100083,China |
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| 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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| Keywords: | heat-conduction equation ETF-FDS-MG FE-MG |
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