Detecting Interfaces in a Parabolic-Elliptic Problem from Surface Measurements. - Florian Frühauf; Bastian Gebauer; Otmar Scherzer (SIAM J. Numer. Anal., 2007)

Impedance-Acoustic Tomography. - Bastian Gebauer; Otmar Scherzer (SIAM J. Appl. Math., 2008)

Detecting Inclusions in Electrical Impedance Tomography Without Reference Measurements. - Bastian von Harrach; Jin Keun Seo (SIAM J. Appl. Math., 2009)

Exact Shape-Reconstruction by One-Step Linearization in Electrical Impedance Tomography. - Bastian von Harrach; Jin Keun Seo (SIAM J. Math. Anal., 2010)

Factorization Method and Its Physical Justification in Frequency-Difference Electrical Impedance Tomography. - Bastian von Harrach; Jin Keun Seo; Eung Je Woo (IEEE Trans. Medical Imaging, 2010)

A Unified Variational Formulation for the Parabolic-Elliptic Eddy Current Equations. - Lilian Arnold; Bastian von Harrach (SIAM J. Appl. Math., 2012)

Recent Progress on the Factorization Method for Electrical Impedance Tomography. - Bastian von Harrach (Comput. Math. Methods Medicine, 2013)

Projective Electrical Impedance Reconstruction with Two Measurements. - Munkh-Erdene Ts; Eunjung Lee; Jin Keun Seo; Bastian von Harrach; Sungwhan Kim (SIAM J. Appl. Math., 2013)

Monotonicity-Based Shape Reconstruction in Electrical Impedance Tomography. - Bastian von Harrach; Marcel Ullrich (SIAM J. Math. Anal., 2013)

Resolution Guarantees in Electrical Impedance Tomography. - Bastian von Harrach; Marcel Ullrich (IEEE Trans. Medical Imaging, 2015)

Monotonicity and Enclosure Methods for the p-Laplace Equation. - Tommi Brander; Bastian von Harrach; Manas Kar; Mikko Salo (SIAM J. Appl. Math., 2018)

Monotonicity in Inverse Medium Scattering on Unbounded Domains. - Roland Griesmaier; Bastian Harrach (SIAM J. Appl. Math., 2018)

On Localizing and Concentrating Electromagnetic Fields. - Bastian Harrach; Yi-Hsuan Lin; Hongyu Liu 001 (SIAM J. Appl. Math., 2018)

Magnetic Resonance Electrical Impedance Tomography (MREIT): Convergence and Reduced Basis Approach. - Dominik Garmatter; Bastian von Harrach (SIAM J. Imaging Sci., 2018)

Lipschitz stability estimate and reconstruction of Lamé parameters in linear elasticity. - Sarah Eberle; Bastian Harrach; Houcine Meftahi; Taher Rezgui (CoRR, 2019)

Convergence of Milstein Brownian bridge Monte Carlo methods and stable Greeks calculation. - Thomas Gerstner; Bastian Harrach; Daniel Roth 004 (CoRR, 2019)

On stable invertibility and global Newton convergence for convex monotonic functions. - Bastian Harrach (CoRR, 2019)

Global Uniqueness and Lipschitz-Stability for the Inverse Robin Transmission Problem. - Bastian Harrach; Houcine Meftahi (SIAM J. Appl. Math., 2019)

A Learning-Based Method for Solving Ill-Posed Nonlinear Inverse Problems: A Simulation Study of Lung EIT. - Jin Keun Seo; Kang Cheol Kim; Ariungerel Jargal; Kyounghun Lee; Bastian Harrach (SIAM J. Imaging Sci., 2019)

Monotonicity-based Inversion of the Fractional Schrödinger Equation I. Positive Potentials. - Bastian Harrach; Yi-Hsuan Lin (SIAM J. Math. Anal., 2019)

Dimension Bounds in Monotonicity Methods for the Helmholtz Equation. - Bastian Harrach; Valter Pohjola; Mikko Salo (SIAM J. Math. Anal., 2019)

Shape Reconstruction in Linear Elasticity: Standard and Linearized Monotonicity Method. - Sarah Eberle; Bastian Harrach (CoRR, 2020)

Regularising linear inverse problems under unknown non-Gaussian white noise. - Bastian Harrach; Tim Jahn; Roland Potthast (CoRR, 2020)

Beyond the Bakushinkii veto: regularising linear inverse problems without knowing the noise distribution. - Bastian Harrach; Tim Jahn; Roland Potthast (Numerische Mathematik, 2020)

Monotonicity-Based Inversion of the Fractional Schödinger Equation II. General Potentials and Stability. - Bastian Harrach; Yi-Hsuan Lin (SIAM J. Math. Anal., 2020)

Multilevel Monte Carlo learning. - Thomas Gerstner; Bastian Harrach; Daniel Roth 004; Martin Simon (CoRR, 2021)

An introduction to finite element methods for inverse coefficient problems in elliptic PDEs. - Bastian Harrach (CoRR, 2021)

Shape Reconstruction in Linear Elasticity: One-step Linearization and Monotonicity-based Regularization. - Sarah Eberle; Bastian Harrach (CoRR, 2021)

Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem. - Bastian Harrach (Numerische Mathematik, 2021)

Erratum: Monotonicity in Inverse Medium Scattering on Unbounded Domains. - Roland Griesmaier; Bastian Harrach (SIAM J. Appl. Math., 2021)

Resolution Guarantees for the Reconstruction of Inclusions in Linear Elasticity Based on Monotonicity Methods. - Sarah Eberle; Bastian Harrach (CoRR, 2022)

Solving an inverse elliptic coefficient problem by convex non-linear semidefinite programming. - Bastian Harrach (Optim. Lett., 2022)

The Calderón Problem with Finitely Many Unknowns is Equivalent to Convex Semidefinite Optimization. - Bastian Harrach (SIAM J. Math. Anal., 2023)

On the required number of electrodes for uniqueness and convex reformulation in an inverse coefficient problem. - Andrej Brojatsch; Bastian Harrach (CoRR, 2024)

A monotonicity-based globalization of the level-set method for inclusion detection. - Bastian Harrach; Houcine Meftahi (CoRR, 2025)

A Monotonicity-Based Regularization Approach to Shape Reconstruction for the Helmholtz Equation. - Sarah Eberle-Blick; Bastian Harrach; Xianchao Wang (CoRR, 2025)