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- W2049524512 abstract "Fréchet differentiability and a formula for the derivative with respect to domain variation of a general class of cost functionals under the constraint of the two-dimensional stationary incompressible Navier--Stokes equations are shown. An embedding domain technique provides an equivalent formulation of the problem on a fixed domain and leads to a simple and computationally cheap line integral formula for the derivative of the cost functional with respect to domain variation. Existenceof a solution to the corresponding domain optimization problems is proved. A numerical example shows the effectivity of the derivative formula." @default.
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- W2049524512 date "2003-01-01" @default.
- W2049524512 modified "2023-09-27" @default.
- W2049524512 title "A Formula for the Derivative with Respect to Domain Variations in Navier--Stokes Flow Based on an Embedding Domain Method" @default.
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- W2049524512 doi "https://doi.org/10.1137/s0363012901385708" @default.
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