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Simon, J. (1990) Domain Variation for Drag in Stokes Flow. Proceedings of IFIP Conference in Shanghai, Lecture Notes in Control and Information Science, Springer, New York, 1990.

has been cited by the following article:

• TITLE: A Numerical Method for Shape Optimal Design in the Oseen Flow with Heat Transfer

  AUTHORS: Wenjing Yan, Axia Wang, Guoxing Guan

  KEYWORDS: Shape Optimization, Oseen Equations, Shape Gradient, Minimax Principle, Convective Heat Transfer, Function Space Parametrization Technique

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.3 No.10, October 29, 2015

  ABSTRACT: This paper is concerned with the optimal design of an obstacle located in the viscous and incompressible fluid which is driven by the steady-state Oseen equations with thermal effects. The structure of shape gradient of the cost functional is derived by applying the differentiability of a minimax formulation involving a Lagrange functional with a space parametrization technique. A gradient type algorithm is employed to the shape optimization problem. Numerical examples indicate that our theory is useful for practical purpose and the proposed algorithm is feasible.