University of Birmingham > Talks@bham > Optimisation and Numerical Analysis Seminars > Preconditioning for PDE-constrained optimization with mixed boundary conditions

Preconditioning for PDE-constrained optimization with mixed boundary conditions

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If you have a question about this talk, please contact Sergey Sergeev.

In this talk, we discuss a technique for preconditioning the linear system arising from a boundary control problem constrained by the Poisson equation with mixed Dirichlet-Neumann boundary conditions. We propose a new preconditioner based on a permutation of the original coefficient matrix and approximations of the resulting Schur complement. We analyse the eigenvalue properties of the preconditioned matrices and observe their eigenvalue bounds. We include numerical results to confirm that the number of GMRES iterations using the proposed preconditioners is independent of the problem size.

This talk is part of the Optimisation and Numerical Analysis Seminars series.

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