![]() |
| Das Dokument ist frei verfügbar |
|
| | Nachweis | Kein Nachweis verfügbar |
|
| Abstract: PDE-constrained optimization problems and the development of preconditioned iterative methods for the efficient solution of the arising matrix system is a field of numerical analysis that has recently been attracting much attention. In this paper we analyze and develop preconditioners for matrix systems that arise from the optimal control of reaction-diffusion equations which themselves result from chemical processes. Important aspects in our solvers are saddle point theory mass matrix representation and effective Schur complement approximation as well as the outer (Newton) iteration to take account of the nonlinearity of the underlying PDEs. |
|
|