Preconditioners in PDE-Constrained Optimization |
|
| Abstract | When working with optimization problems it is often the case that the operator is ill-conditioned due to the spread of the eigenvalues, which produces poor convergence properties for iterative methods for solving optimization. Preconditioners are introduced to counteract this effect and produce faster convergence. In this thesis we consider the link between preconditioners for a PDE-constrained optimization problem and the structure of the Hilbert space in which we seek the solution. |
| Type | Master's thesis [Academic thesis] |
| Year | 2016 |
| Publisher | Technical University of Denmark, Department of Applied Mathematics and Computer Science |
| Address | Richard Petersens Plads, Building 324, DK-2800 Kgs. Lyngby, Denmark, compute@compute.dtu.dk |
| Series | DTU Compute M.Sc.-2016 |
| Note | DTU supervisor: Kim Knudsen, kiknu@dtu.dk, DTU Compute |
| Electronic version(s) | [pdf] |
| Publication link | http://www.compute.dtu.dk/English.aspx |
| BibTeX data | [bibtex] |
| IMM Group(s) | Scientific Computing |