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The computational aspects of the homogenization problem

  • Homogenization
  • Conference paper
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Computing Methods in Applied Sciences and Engineering, 1977, I

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 704))

Abstract

The homogenization is discussed as an (numerical) approximation problem. It is shown that it is closely related to a treatment of a pseudo-differential operator. Its approximation leads then to the usual homogenization approach. The paper discusses the Fourier transformation and finite element approach for solving the problem with highly oscilatory coefficients.

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References

  1. I. Babuska, Solution of problems with interfaces and singularities, Mathematical Aspects of Finite Elements in Partial Differential Equations, Academic Press, 1974, 213–277.

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Author information

Authors and Affiliations

  1. Institute for Physical Sciences and Technology, University of Maryland, 20742, College Park, Maryland

    I. Babuska

Authors
  1. I. Babuska
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Editor information

R. Glowinski J. L. Lions Iria Laboria

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© 1979 Springer-Verlag

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Babuska, I. (1979). The computational aspects of the homogenization problem. In: Glowinski, R., Lions, J.L., Laboria, I. (eds) Computing Methods in Applied Sciences and Engineering, 1977, I. Lecture Notes in Mathematics, vol 704. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063628

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  • DOI: https://doi.org/10.1007/BFb0063628

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09123-3

  • Online ISBN: 978-3-540-35411-6

  • eBook Packages: Springer Book Archive

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