Multiscale Discontinuous Galerkin Methods for Elliptic Problems with Multiple Scales

Multiscale Discontinuous Galerkin Methods for Elliptic Problems with Multiple Scales
复制标题

多尺度椭圆问题的多尺度间断伽辽金法

DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
B. Heimsund
B. Heimsund
中科院分区：
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文献类型：
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作者：
J. Aarnes;B. Heimsund

文献摘要

被引文献

相似文献

介绍了一类新的不连续伽辽金（DG）方法，用于求解复合材料和多孔介质流动等多尺度椭圆问题。所提出的方法可以看作是多尺度有限元方法的推广。实际上，所提出的DG方法是通过结合多尺度有限元方法的近似空间和放宽单元间界面的连续性约束而得到的。通过与二维椭圆问题的多尺度有限元方法的数值比较，证明了所提出的DG方法的性能。
We introduce a new class of discontinuous Galerkin (DG) methods for solving elliptic problems with multiple scales arising from e.g., composite materials and flows in porous media. The proposed methods may be seen as a generalization of the multiscale finite element (FE) methods. In fact, the proposed DG methods are derived by combining the approximation spaces for the multiscale FE methods and relaxing the continuity constraints at the inter-element interfaces. We demonstrate the performance of the proposed DG methods through numerical comparisons with the multiscale FE methods for elliptic problems in two dimensions.