| 发展热离子问题有限元解的收敛性分析 |
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| 引用本文： | 赵卫东.发展热离子问题有限元解的收敛性分析[J].山东大学学报(理学版),1994(4). |
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| 作者姓名： | 赵卫东 |
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| 作者单位： | Dept.of Math.，Shandong Univ.，Jinan |
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| 摘 要： | 发展热离子问题是由含Ｊｏｕｌｅ热源的热传导方程及具有与热有关的电导率的电流守恒方程组成的非线性偏微分方程组，此方程组具有强的非线性性．本文考虑了对此方程组的数值解问题，用混合元解电流守恒方程，用标准有限元解热传导方程，提出了全离散格式，给出了数值解的误差估计，得到了Ｌ２模意义下的最优误差估计．
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| 关 键 词： | 热离子 Joule热源 混合元 标准有限元 |
CONVERGENCE ANALYSIS OF FINITE ELEMENT METHOD FOR THE NONSTATIONARY THERMISTOR PROBLEM |
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| Zhao Weidong.CONVERGENCE ANALYSIS OF FINITE ELEMENT METHOD FOR THE NONSTATIONARY THERMISTOR PROBLEM[J].Journal of Shandong University,1994(4). |
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| Authors: | Zhao Weidong |
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| Abstract: | The thermistor problem is a coupled system of nonlinear PDES which consist of the heat equation with a Joule heating as a source, and the current conservation equation with temperature dependent electrical conductivity. The current conservation equation was solved by mixed element method, and the heat equation was solved by standard finite element method. The optimal L2 -modular error estimates about the solutions of the nonstationary thermistor problem were got. |
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| Keywords: | thermistor Joule heating mixed element standard finite element method |
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