On a Domain Optimization Problem in Hydromechanics

T. S. Angell, R. E. Kleinman · Birkhäuser Basel eBooks · 1987

Certain hydromechanical quantities associated with a floating or a totally immersed body depend explicitly on the body’s geometry. We discuss some aspects of the mathematical description of such a physical system and consider the problem of choosing the shape of the body so that one such quantity is optimized. Certain families of solutions of the original boundary value problem are shown to be complete and a penalization method for treating the optimization problem is proposed. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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