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The Finite Element Method in Porous Media Flow

  • Chapter
Fundamentals of Transport Phenomena in Porous Media

Part of the book series: NATO ASI Series ((NSSE,volume 82))

Abstract

The finite element method was first developed by structural engineers in the middle fifties as an alternative to classical mathematical techniques in dealing with the complex geometrical configurations encountered. Although the historical origins of the method are undoubtedly interesting, and can be found in most standard texts on the subject [1–7], it is not intended to review these in this chapter. A major step in the evolution of the technique was the realisation that the method was strongly related to variational principles. The applicability of the method could thus be readily extended to disciplines other than structural mechanics, and the technique could approximate any mathematical or physical problem whose solution could be expressed as a stationary value of a given functional.

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Author information

Authors and Affiliations

  1. Civil Engineering Department, University College of Swansea, UK

    Roland W. Lewis & Peter M. Roberts

Authors
  1. Roland W. Lewis
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  2. Peter M. Roberts
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Editor information

Editors and Affiliations

  1. Department of Civil Engineering, Technion-Israel Institute of Technology, Haifa, 32000, Israel

    Jacob Bear

  2. Department of Civil Engineering, University of Delaware, Newark, Delaware, 19716, USA

    M. Yavuz Corapcioglu

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© 1984 Martinus Nijhoff Publishers, Dordrecht

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Lewis, R.W., Roberts, P.M. (1984). The Finite Element Method in Porous Media Flow. In: Bear, J., Corapcioglu, M.Y. (eds) Fundamentals of Transport Phenomena in Porous Media. NATO ASI Series, vol 82. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6175-3_17

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  • DOI: https://doi.org/10.1007/978-94-009-6175-3_17

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6177-7

  • Online ISBN: 978-94-009-6175-3

  • eBook Packages: Springer Book Archive

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