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Computational Aspect of Ground-Water Management

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Boundary Element Methods

Abstract

In recent years, a great deal of research work of distributed parameter control systems has been carried out by scientists and enginers.

By combining the boundary element method with linear programming, the boundary element and linear programming method (the BE&LP method) has been developed and systematized in order to solve distributed parameter control systems.

In this paper an efficient computational algorithm of the BE&LP method for optimal control problems of ground — water management in steady — state confined aquifer is studied by noting its special structures. The BE&LP method utilizes the advantages of established numerical techniques of both the boundary element method and linear programming. The tractability in both the boundary conditions and the complicated equality or inequality constraints makes sure that the method becomes a powerful technique for various problems of optimal control and design in distributed parameter systems.

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References

  1. Aguado, E. and Remson, I. (1974), “Ground-Water Hydraulics in Aquifer Management”, Journal of the Hydraulics Division, ASCE, Vol. 100, No. HYI, pp. 103–118.

    Google Scholar 

  2. Bolteus, L. and Tullberg, O. (1980), “Boundary Element Method Applied to TwoDimentional Heat Conduction in Non-Homogeneous Media”, Advances in Engineering Software, Vol. 2, No. 3, pp. 131–137.

    Article  MATH  Google Scholar 

  3. Brebbia, C. A. (1978), “The Boundary Element Method for Engineers”, Pentech Press.

    Google Scholar 

  4. Brebbia, C. A. and Walker, S. (1980), “Boundary Element Techniques in Engineering”, Newnes-Butterworths.

    Google Scholar 

  5. Dantzing, B. G. (1963), “Linear Programming and Extensions”, Princeton University Press.

    Google Scholar 

  6. Futagami, T., Tamai, N. and Yatsuzuka, M. (1976), “FEM Coupled with LP for Water Pollution Control”, Journal of Hydraulics Division, ASCE, Vol. 102, HY 7, pp. 881–897.

    Google Scholar 

  7. Futagami, T. (1976), “Several Mathematical Methods in Water Pollution Control THE FINITE ELEMENT & LINEAR PROGRAMMING METHOD and the Related Methods”, HIT-C-EH-1, Department of Civil Engineering, Hiroshima Institute of Technology.

    Google Scholar 

  8. Futagami, T. (1981), “Boundary Element & Linear Programming Method in Optimization of Partial Differential Systems”, Boundary Element Methods, 3rd Internationl Seminar on Boundary Element Methods, Brebbia, C. A., ed,. Springer-Verlag, pp. 457–471.

    Google Scholar 

  9. Futagami, T. (1982), “Boundary Element & Dynamic Programming Method in Optimization of Transient Partial Differential Systems”, Boundary Element Methods in Engineering, Fourth International Seminar on Boundary Element Methods, Brebbia, C. A. ed., pp. 58–71.

    Google Scholar 

  10. Futagami, T. Fukuhara, T. and Tomita, M. (1977), “Transient Finite Element & Linear Programming Method in Environmental Systems Control-The Efficient Computational Algorithm” Proceedings, IFAC Environmental Symposium, Akashi. H., ed., Pergamon Press, pp. 143–150.

    Google Scholar 

  11. Futagami, T., Tzafestas, S. and Sunahara, Y. (Editors), “Distributed Parameter Systems: Modelling and simulation”, North Holland, 1989.

    Google Scholar 

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© 1992 Springer-Verlag Berlin Heidelberg

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Futagami, T., Ogata, H. (1992). Computational Aspect of Ground-Water Management. In: Kobayashi, S., Nishimura, N. (eds) Boundary Element Methods. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-06153-4_11

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  • DOI: https://doi.org/10.1007/978-3-662-06153-4_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-06155-8

  • Online ISBN: 978-3-662-06153-4

  • eBook Packages: Springer Book Archive

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