| 用有限元解奇异摄动边值问题的移动网格算法 |
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| 引用本文： | 杨继明.用有限元解奇异摄动边值问题的移动网格算法[J].湖南工程学院学报(自然科学版),2008,18(3):46-48. |
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| 作者姓名： | 杨继明 |
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| 作者单位： | 湖南工程学院,理学院,湖南,湘潭,411104 |
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| 摘 要： | 考虑一类奇异摄动边值问题.为了对其数值求解，与文1，2]不同的是，采用基于有限元方法的移动网格算法.采用的网格有（N＋1）个节点并初始化为均匀网格，其节点采用一种迭代算法来自适应移动，该算法等分布分片线性数值解函数弧长.用数值试验证实了该方法产生的数值解是关于摄动参数ε一致收敛的.
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| 关 键 词： | 奇异摄动 有限元 移动网格 等分布 |
A Moving Mesh Algorithm Based on FEM for Singularly Perturbed Boundary Value Problems |
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| YANG Ji-ming.A Moving Mesh Algorithm Based on FEM for Singularly Perturbed Boundary Value Problems[J].Journal of Hunan Institute of Engineering(Natural Science Edition),2008,18(3):46-48. |
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| Authors: | YANG Ji-ming |
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| Institution: | YANG Ji-ming (College of Science, Hunan Institute of Engineering, Xiangtan 411104 ,China) |
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| Abstract: | A kind of singularly perturbed boundary value problem is investigated.A moving mesh algorithm based on finite element method is applied.The mesh has a fixed number(N 1) of nodes and is initially uniform,but its nodes are moved adaptively by using an iterative algorithm based on equidistribution of the arc-length of the current computed piecewise linear solution.Numerical experiments are carried out,which testifies that the approximations are uniformly convergent with the perturbation parameter. |
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| Keywords: | singularly perturbed finite element moving mesh equidistribution |
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