Finite Element Approximation for Shape Optimization Problems with Neumann and Mixed Boundary Conditions
Dan Tiba · SIAM Journal on Control and Optimization · 2011
For optimal design problems, defined in domains of class C and in arbitrary space dimension, governed by elliptic equations with boundary conditions of Neumann or mixed type, we introduce the corresponding discretized problems and we prove convergence results. The discretization method is of fixed domain type, in the sense that it is given in the domain that contains all the admissible open sets.