An optimal design problem for submerged bodies

DOI10.1002/mma.1670080105zbMath0622.76022OpenAlexW1996176924MaRDI QIDQ3760141

Ralph E. Kleinman, Thomas S. Angell, George C. Hsiao

Publication date: 1986

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670080105

zbMATH Keywords

existencevariational inequalitycost functionalboundary value problemoptimal solutiondomain functionaloptimal configurationadded massconstrained optimization problemfluid of finite depthsubmerged bodyContinuitylinearized free surface conditionfinite dimensional approximate solutionsshape of a smooth body

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Incompressible inviscid fluids (76B99)

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Cites Work

• Theory of variational inequalities with applications to problems of flow through porous media
• The three dimensional inverse scattering problem for acoustic waves
• On the existence of a solution in a domain identification problem
• Application de la méthode des éléments finis à l'approximation d'un problème de domaine optimal. Méthodes de résolution des problèmes approches
• Some applications of Maz'ja's uniqueness theorem to a class of linear water wave problems
• On optimum design in fluid mechanics
• On optimum profiles in Stokes flow
• Boundary Integral Equations for the Three-Dimensional Helmholtz Equation
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