Michael Kartmann

collaborators

2 papers

math.NA2025

Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems

Michael Kartmann, Benedikt Klein, Mario Ohlberger +2

We consider nonlinear inverse problems arising in the context of parameter identification for parabolic partial differential equations (PDEs). For stable reconstructions, regulariz…

math.OC2024

Solving Semi-Linear Elliptic Optimal Control Problems with $L^{1}$ -Cost via Regularization and RAS-Preconditioned Newton Methods

Gabriele Ciaramella, Michael Kartmann, Georg Müller

We present a new parallel computational framework for the efficient solution of a class of $L^{2}$ / $L^{1}$ -regularized optimal control problems governed by semi-linear elliptic partial…

Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems

Solving Semi-Linear Elliptic Optimal Control Problems with L1-Cost via Regularization and RAS-Preconditioned Newton Methods

Solving Semi-Linear Elliptic Optimal Control Problems with $L^{1}$ -Cost via Regularization and RAS-Preconditioned Newton Methods