Shapes and geometries: analysis, differential calculus, and optimization
Shapes and geometries: analysis, differential calculus, and optimization
Error Estimates for the Numerical Approximation of Boundary Semilinear Elliptic Control Problems
Computational Optimization and Applications
SIAM Journal on Numerical Analysis
SIAM Journal on Control and Optimization
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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.