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
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.
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.
Brebbia, C. A. (1978), “The Boundary Element Method for Engineers”, Pentech Press.
Brebbia, C. A. and Walker, S. (1980), “Boundary Element Techniques in Engineering”, Newnes-Butterworths.
Dantzing, B. G. (1963), “Linear Programming and Extensions”, Princeton University Press.
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.
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.
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.
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.
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.
Futagami, T., Tzafestas, S. and Sunahara, Y. (Editors), “Distributed Parameter Systems: Modelling and simulation”, North Holland, 1989.
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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
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