Number 1 pp. An Explicit Formula for the Derivative of a Class of Cost Functionals with Respect to Domain Variations in Stokes Flow Thomas Slawig Abstract. Iss. 1 Domain optimization problems for the two-dimensional stationary Stokes equations are studied. An embedding domain technique provides an equivalent formulation of the problem on a fixed domain and, moreover, a simply computable formula for the derivative of the cost functional with respect to the domain. Existence of a solution to the class of domain optimization problems is proved.
Numerical examples show the reliability of the derivative formula.