| 自适应网格加密和多重网格求解严重病态方程 |
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| 引用本文： | 王建华,李佳川.自适应网格加密和多重网格求解严重病态方程[J].上海力学,1996,17(1):46-53. |
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| 作者姓名： | 王建华 李佳川 |
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| 作者单位： | 上海交通大学
(王建华)，同济大学(李佳川) |
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| 基金项目： | 国家自然科学基金，国家博士后基金 |
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| 摘 要： | 本文探讨用自适应网格加密技术结合多重网格法求解由有限元离散导致的病态方程。计算结果表明；自适应多重网格有限元法是求解严重病态方程珠有效方法。
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| 关 键 词： | 严重病态方程 自适应加密 多重网格法 有限元 |
ADAPTIVE MESH REFINEMENT AND MULTIGRID FOR VERY ILL-CONDITIONED FINITE ELEMENT EQUATIONS |
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| Wang Jianhua Li Jiachuan.ADAPTIVE MESH REFINEMENT AND MULTIGRID FOR VERY ILL-CONDITIONED FINITE ELEMENT EQUATIONS[J].Chinese Quarterly Mechanics,1996,17(1):46-53. |
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| Authors: | Wang Jianhua Li Jiachuan |
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| Institution: | Wang Jianhua Li Jiachuan
(Shanghai Jiaotong University) (Tongji University) |
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| Abstract: | This paper explores the potential of using adaptive mesh refinement technique combined with multigrid method to solve ill-conditioned equaitons resulting from the finite element discretization. The numerical examples show that adaptive multigrid finite element method is an effective method for very ill-conditioned equation. |
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| Keywords: | Very ill-conditioned equations Adaptive mesh refinement Multigrid meth- od |
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