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Potential Problems

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Computational Aspects

Part of the book series: Topics in Boundary Element Research ((TBOU,volume 3))

Abstract

A large number of engineering problems can be mathematically described by Laplace’s equation. Since functions satisfying Laplace’s equation are generally called potential functions, these engineering problems are referred to as potential problems. Under this classification, we can include heat conduction problems, where the potential function is the temperature; flow of ideal fluids, formulated either with a velocity potential or a stream function; groundwater flow, where the function is the piezometric head; torsion of prismatic shafts, with a warping function; and many others.

The copyright of the computer program described in this chapter remains the property of the author (Dr. L.C. Wrobel) and the editor of this book (Dr. C.A. Brebbia).

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References

  1. Hess, J.L. and Smith, A.M.O., Calculation of Potential Flow about Arbitrary Bodies. Progress in Aeronautical Sciences, Vol. 8 ( D. Küchemann, ed.). Pergamon Press, London 1967.

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  7. Brebbia, C.A. and Ferrante, A. J., Computational Methods for the Solution of Engineering Problems. Pentech Press, London 1978

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© 1987 Springer-Verlag Berlin, Heidelberg

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Wrobel, L.C. (1987). Potential Problems. In: Brebbia, C.A. (eds) Computational Aspects. Topics in Boundary Element Research, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82663-4_8

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  • DOI: https://doi.org/10.1007/978-3-642-82663-4_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82665-8

  • Online ISBN: 978-3-642-82663-4

  • eBook Packages: Springer Book Archive

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