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Erding New coarse grid operators for highly oscillatory coefficient elliptic problems
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.
1996 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 2, 296-306 p.Article in journal (Refereed) Published
Abstract [en]

New coarse grid operators are developed for elliptic problems with highly oscillatory coefficients. The new coarse grid operators are constructed directly based on the homogenized differential operators or hierarchically computed from the finest grid. A detailed description of this construction is provided. Numerical calculations for a two dimensional elliptic model problem show that the homogenized form of the equations is very useful in the design of coarse grid operators for the multigrid method. A more realistic problem of heat conduction in a composite structure is also considered.

Place, publisher, year, edition, pages
1996. Vol. 2, 296-306 p.
National Category
Computer and Information Science
URN: urn:nbn:se:kth:diva-90453OAI: diva2:505534
NR 20140805Available from: 2012-02-24 Created: 2012-02-24Bibliographically approved

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Engquist, Björn
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Numerical Analysis, NA
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