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Time Dependent Non-Linear Potential Problems

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Time-dependent and Vibration Problems

Part of the book series: Topics in Boundary Element Research ((TBOU,volume 2))

Abstract

In a previous publication [4] the authors have presented the formulation for time independent non-linear potential problems based on the Kirchhoff’s transform. The transform was used to convert a nonlinear material problem into a linear one using different functions to define the conductivity. The method was applied with mixed and nonlinear radiation boundary conditions. This approach allowed for the solution of the nonlinear potential problems without need to define any internal cells.

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References

  1. Wrobel, L., Brebbia, C., Time dependent potential problems. Chapter 6 in Progress in boundary element methods 1, Pentech Press, London, Wiley, New York, 1981

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  2. Bialecki, R., Nowak, A., Boundary value problems, in heat conduction with non linear material and non linear boundary conditions. Appi. Math. Modelling 5, p. 417–421, 1981

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  3. Brebbia, C.A., Teiles, J., Wrobel, L., Boundary element methods - Theory and application. Springer-Verlag, New York, 1982

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  4. Skerget, P., Brebbia, C.A., Non linear potential problems. Chapter 1 in Progress in boundary element methods 2, Pentech Press, London, Springer-Verlag, New York, 1983

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  5. Brebbia, C.A., Walkers, S., Boundary element techniques in engineering. Butterworths, 1980

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  6. Wrobel, L.C., Potential and viscous flow problems using the boundary element method. Ph.D. Thesis, Department of Civil Engineering of the University of Southampton, 1981

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  7. Onishi, K., Kuroki, T., Ohura, Y., Obata, K., Ito, T., Boundary element method in transient heat transfer problems. Fukuoka University, Fukuoka

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  9. Danson, D.J., BEASY — A boundary element analysis system. In: Boundary element methods in engineering. Proceedings of the fourth international seminar, Southampton, 1982

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© 1985 Springer-Verlag Berlin, Heidelberg

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Skerget, P., Brebbia, C.A. (1985). Time Dependent Non-Linear Potential Problems. In: Brebbia, C.A. (eds) Time-dependent and Vibration Problems. Topics in Boundary Element Research, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82398-5_3

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  • DOI: https://doi.org/10.1007/978-3-642-82398-5_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82400-5

  • Online ISBN: 978-3-642-82398-5

  • eBook Packages: Springer Book Archive

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