| Arrow—Hurwitz交替方向混合有限元的理论分析 |
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| 引用本文： | 崔明荣. Arrow—Hurwitz交替方向混合有限元的理论分析[J]. 山东大学学报(理学版), 1994, 0(4) |
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| 作者姓名： | 崔明荣 |
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| 作者单位： | Dept.of Math.，Shandong Univ.，Jinan |
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| 摘 要： | １９８５年，Ｊ．Ｄｏｕｇｌａｓ，Ｊｒ．教授对于用混合有限元求解二阶椭圆问题得到的鞍点问题，提出了Ａｒｒｏｗ－Ｈｕｒｗｉｔｚ迭代格式，但理论分析并不完整．本文中给出Ａｒｒｏｗ—Ｈｕｒｗｉｔｚ格式完整的谱半径分析，并给出了稳定和收敛的条件．
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| 关 键 词： | 混合有限元方法；迭代方法；稳定条件；收敛条件 |
THE THEORETICAL ANALYSIS OF THE ARROW-HURWITZ ALTERNATIVE PROCEDURES FOR MIXED FINITE ELEMENT METHODS |
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| Cui Mingrong. THE THEORETICAL ANALYSIS OF THE ARROW-HURWITZ ALTERNATIVE PROCEDURES FOR MIXED FINITE ELEMENT METHODS[J]. Journal of Shandong University, 1994, 0(4) |
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| Authors: | Cui Mingrong |
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| Abstract: | In 1985, Prof. J. Douglas,Jr.gives the Arrow -Hurwitz iterative procedures for solving the saddle point problems associated with mixed finite element methods for second order elliptic problems, but the theoretical analysis isn's complete. In this paper, complete spetral analyses of the Arrow-Hurwitz procedures are given, with the conditions for stability and convergence. |
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| Keywords: | mixed finite element method iterative methods condition of stability condition of convergence |
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