J. Haslinger et A. Klarbring, FICTITIOUS DOMAIN MIXED FINITE-ELEMENT APPROACH FOR A CLASS OF OPTIMAL SHAPE DESIGN-PROBLEMS, Modelisation mathematique et analyse numerique, 29(4), 1995, pp. 435-450
A fictitious domain method is applied to shape optimization problems a
nd we use a dualization of the Dirichlet boundary condition on the var
iable part of the boundary. An approximation by means of mixed finite
elements is presented and convergence results are established.