@article{10902/2210, year = {2012}, url = {http://hdl.handle.net/10902/2210}, abstract = {Optimal control problems in measure spaces governed by elliptic equations are considered for distributed and Neumann boundary control, which are known to promote sparse solutions. Optimality conditions are derived and some of the structural properties of their solutions, in particular sparsity, are discussed. A framework for their approximation is proposed which is efficient for numerical computations and for which we prove convergence and provide error estimates.}, organization = {This author was supported by Spanish Ministerio de Ciencia e Innovación under projects MTM2008-04206 and “Ingenio Mathematica (i-MATH)” CSD2006-00032 (Consolider Ingenio 2010).}, publisher = {Society for Industrial and Applied Mathematics}, publisher = {SIAM Journal on Control and Optimization, 2012, 50(4), 1735–1752}, title = {Approximation of elliptic control problems in measure spaces with sparse solutions}, author = {Casas Rentería, Eduardo and Clason, Christian and Kunisch, Karl}, }