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A variational method to find effective coefficients for periodic media. A comparison with standard homogenization

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Macroscopic Properties of Disordered Media

Part of the book series: Lecture Notes in Physics ((LNP,volume 154))

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References

  1. Adams, R.A., Sobolev Spaces, Academic Press, 1975.

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  2. Babuska, I., Homogenization approach in engineering. pp. 137–153, in Computing Methods in Applied Sciences and. Engineering. Lecture Notes in Economics and Mathematical Systems, 134. Springer, 1976.

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  3. Bensoussan, A., Lions, J.L., and Papanicolaou, G., Asymptotic Analysis for Periodic Structures. North-Holland, 1978.

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  4. Ciarlet,P.G., The Finite Element Method for Elliptic Problems. North-Holland, 1978.

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  5. Vogelius, M. and Papanicolaou, G., A projection method applied to diffusion in a periodic structure. To appear in SIAM Journal on Applied Mathematics.

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Authors and Affiliations

  1. Courant Institute of Mathematical Sciences, New York University, 10012, New York, N. Y.

    Michael Vogelius

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  1. Michael Vogelius
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R. Burridge S. Childress G. Papanicolaou

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© 1982 Springer-Verlag

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Vogelius, M. (1982). A variational method to find effective coefficients for periodic media. A comparison with standard homogenization. In: Burridge, R., Childress, S., Papanicolaou, G. (eds) Macroscopic Properties of Disordered Media. Lecture Notes in Physics, vol 154. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11202-2_22

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  • DOI: https://doi.org/10.1007/3-540-11202-2_22

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11202-0

  • Online ISBN: 978-3-540-39031-2

  • eBook Packages: Springer Book Archive

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