| 非线性抛物方程的自适应有限元算法 |
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| 引用本文： | 于昕. 非线性抛物方程的自适应有限元算法[J]. 北京交通大学学报(自然科学版), 1989, 0(3) |
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| 作者姓名： | 于昕 |
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| 作者单位： | 北方交通大学数学系 |
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| 摘 要： | 本文讨论了一维空间中解非线性抛物方程的自适应有限元算法。对此非线性抛物方程,我们选择3层有限元格式,并以等分布原则为基础,对每一时间层选择非一致网格以保证误差具有较高的精度。此算法对大梯度的问题有较强的实用性。应用此算法的计算实例在文末给出。
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| 关 键 词： | 自适应有限元方法 等分布原则 非一致网格 误差估计 |
Adaptive Finite Element Algorithm for Nonlinear Parabolic Equations |
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| Yu Xin. Adaptive Finite Element Algorithm for Nonlinear Parabolic Equations[J]. JOURNAL OF BEIJING JIAOTONG UNIVERSITY, 1989, 0(3) |
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| Authors: | Yu Xin |
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| Affiliation: | Deparment of Mathematies |
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| Abstract: | We discussed an adaptive finite element algorithm for solving nonlinear parabolic equations in one-dimention. We presented a three-level finite element scheme for this equation, and needed equidistribute rule to choose non-uniform mesh for every time step in order to get a better convergence of error estimate. It is effective for Large-Gradient problems. Finally, we gave an example for using this algorithm. |
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| Keywords: | adaptive finite element method equidistribute rule non-uniform mesh error estimate. |
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