Approximation of sparse controls in semilinear equations by piecewise linear functions

作者：Casas Eduardo; Herzog Roland^*; Wachsmuth Gerd

来源：Numerische Mathematik, 2012, 122(4): 645-669.

DOI：10.1007/s00211-012-0475-7

Semilinear elliptic optimal control problems involving the norm of the control in the objective are considered. A priori finite element error estimates for piecewise linear discretizations for the control and the state are proved. These are obtained by a new technique based on an appropriate discretization of the objective function. Numerical experiments confirm the convergence rates.

• 出版日期2012-12