| 边界元方法的抽象误差估计及其应用 |
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| 引用本文： | 杨鸿涛.边界元方法的抽象误差估计及其应用[J].计算数学,1990,12(3):270-278. |
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| 作者姓名： | 杨鸿涛 |
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| 作者单位： | 吉林大学数学系 |
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| 摘 要： | §1.引言 边界元方法是近二十年来发展的一种求解偏微分方程的数值方法,其基本思想是:先利用Green公式或位势将区域上的偏微分方程转化成边界上的积分方程,此时偏微分方程的解由边界积分方程的解表出;然后数值求解边界积分方程,进而求得偏微分方程的近
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| 关 键 词： | 边界元方法 抽象误差估计 |
ON THE ERROR ESTIMATES OF BOUNDARY ELEMENT METHODS AND THEIR APPLICATIONS |
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| Institution: | Yang Hong-tao Department of Mathematics. Jilin University |
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| Abstract: | In this paper, a kind of boundary integral equations are studied by means of pseudo-dif-ferential operator theory, and their error estimates of the Galerkin methods are established. Asan application of the results, a boundary element method for Laplace equations in R~3 is discus-sed. The estimates of the error in H~1-norm and global maximum norm are obtained. The lastestimate is better than the one given by Wang Hong (5]). |
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