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Krylov Subspace Recycling for Evolving Structures
Matthias Bolten, Eric de Sturler, Camilla Hahn
Krylov subspace recycling is a powerful tool for solving long series of large, sparse linear systems that change slowly. In PDE constrained shape optimization, these appear natural…
Randomization for the Efficient Computation of Parametric Reduced Order Models for Inversion
Selin Aslan, Eric de Sturler, Serkan Gugercin
Nonlinear parametric inverse problems appear in many applications. Here, we focus on diffuse optical tomography (DOT) in medical imaging to recover unknown images of interest, such…
Robust Parameter Inversion using Adaptive Reduced Order Models
Drayton Munster, Eric de Sturler
Nonlinear parametric inverse problems appear in many applications and are typically very expensive to solve, especially if they involve many measurements. These problems pose huge…
A survey of subspace recycling iterative methods
Kirk M. Soodhalter, Eric de Sturler, Misha Kilmer
This survey concerns subspace recycling methods, a popular class of iterative methods that enable effective reuse of subspace information in order to speed up convergence and find…