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math.NA2024
A robust and time-parallel preconditioner for parabolic reconstruction problems using Isogeometric Analysis
Kent-Andre Mardal, Jarle Sogn, Stefan Takacs
We consider a PDE-constrained optimization problem of tracking type with parabolic state equation. The solution to the problem is characterized by the Karush-Kuhn-Tucker (KKT) syst…
math.NA2020
Robust preconditioning and error estimates for optimal control of the convection-diffusion-reaction equation with limited observation in Isogeometric analysis
Kent-Andre Mardal, Jarle Sogn, Stefan Takacs
In this paper we analyze an optimization problem with limited observation governed by a convection--diffusion--reaction equation. Motivated by a Schur complement approach, we arriv…
math.NA2019
Robust Preconditioners for Multiple Saddle Point Problems and Applications to Optimal Control Problems
Alexander Beigl, Jarle Sogn, Walter Zulehner
In this paper we consider multiple saddle point problems with block tridiagonal Hessian in a Hilbert space setting. Well-posedness and the related issue of preconditioning are disc…