椭圆型多尺度问题的数值方法

J. Num. Math. Pub Date : 1900-01-01 DOI:10.1515/JNUM.2008.006

I. Greff, W. Hackbusch

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引用次数: 2

摘要

摘要本文研究了一类二阶椭圆算子的粗网格逼近问题，该算子具有粗糙或快速振荡系数。我们打算提供一个更平滑的椭圆算子，它在粗网格上的行为与原始算子相似。注意对系数的平滑性或周期性没有要求。为了简化理论和数值实现，我们将自己限制在一维情况下。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Numerical method for elliptic multiscale problems

Abstract In this paper we are interested in the coarse-mesh approximations of a class of second order elliptic operators with rough or rapidly oscillatory coefficients. We intend to provide a smoother elliptic operator which on a coarse mesh behaves like the original operator. Note that there is no requirement on smoothness or periodicity of the coefficients. To simplify the theory and the numerical implementations, we restrict ourselves to the one-dimensional case.

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来源期刊

J. Num. Math.

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