Bastian Harrach

Publication Activity (10 Years)

Years Active: 2018-2023
Publications (10 Years): 22

Top Topics

Monte Carlo Methods

Electromagnetic Field

Top Venues

SIAM J. Math. Anal.

SIAM J. Appl. Math.

Numerische Mathematik

Publications

Bastian Harrach
The Calderón Problem with Finitely Many Unknowns is Equivalent to Convex Semidefinite Optimization. SIAM J. Math. Anal. 55 (5) (2023)
Sarah Eberle, Bastian Harrach
Resolution Guarantees for the Reconstruction of Inclusions in Linear Elasticity Based on Monotonicity Methods. CoRR (2022)
Bastian Harrach
Solving an inverse elliptic coefficient problem by convex non-linear semidefinite programming. Optim. Lett. 16 (5) (2022)
Roland Griesmaier, Bastian Harrach
Erratum: Monotonicity in Inverse Medium Scattering on Unbounded Domains. SIAM J. Appl. Math. 81 (3) (2021)
Bastian Harrach
An introduction to finite element methods for inverse coefficient problems in elliptic PDEs. CoRR (2021)
Sarah Eberle, Bastian Harrach
Shape Reconstruction in Linear Elasticity: One-step Linearization and Monotonicity-based Regularization. CoRR (2021)
Bastian Harrach
Solving an inverse elliptic coefficient problem by convex non-linear semidefinite programming. CoRR (2021)
Thomas Gerstner, Bastian Harrach, Daniel Roth, Martin Simon
Multilevel Monte Carlo learning. CoRR (2021)
Bastian Harrach
Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem. Numerische Mathematik 147 (1) (2021)
Bastian Harrach, Yi-Hsuan Lin
Monotonicity-Based Inversion of the Fractional Schödinger Equation II. General Potentials and Stability. SIAM J. Math. Anal. 52 (1) (2020)
Sarah Eberle, Bastian Harrach
Shape Reconstruction in Linear Elasticity: Standard and Linearized Monotonicity Method. CoRR (2020)
Bastian Harrach, Tim Jahn, Roland Potthast
Beyond the Bakushinkii veto: regularising linear inverse problems without knowing the noise distribution. Numerische Mathematik 145 (3) (2020)
Bastian Harrach, Tim Jahn, Roland Potthast
Regularising linear inverse problems under unknown non-Gaussian white noise. CoRR (2020)
Sarah Eberle, Bastian Harrach, Houcine Meftahi, Taher Rezgui
Lipschitz stability estimate and reconstruction of Lamé parameters in linear elasticity. CoRR (2019)
Bastian Harrach, Valter Pohjola, Mikko Salo
Dimension Bounds in Monotonicity Methods for the Helmholtz Equation. SIAM J. Math. Anal. 51 (4) (2019)
Bastian Harrach, Yi-Hsuan Lin
Monotonicity-based Inversion of the Fractional Schrödinger Equation I. Positive Potentials. SIAM J. Math. Anal. 51 (4) (2019)
Thomas Gerstner, Bastian Harrach, Daniel Roth
Convergence of Milstein Brownian bridge Monte Carlo methods and stable Greeks calculation. CoRR (2019)
Bastian Harrach, Houcine Meftahi
Global Uniqueness and Lipschitz-Stability for the Inverse Robin Transmission Problem. SIAM J. Appl. Math. 79 (2) (2019)
Jin Keun Seo, Kang Cheol Kim, Ariungerel Jargal, Kyounghun Lee, Bastian Harrach
A Learning-Based Method for Solving Ill-Posed Nonlinear Inverse Problems: A Simulation Study of Lung EIT. SIAM J. Imaging Sci. 12 (3) (2019)
Bastian Harrach
On stable invertibility and global Newton convergence for convex monotonic functions. CoRR (2019)
Bastian Harrach, Yi-Hsuan Lin, Hongyu Liu
On Localizing and Concentrating Electromagnetic Fields. SIAM J. Appl. Math. 78 (5) (2018)
Roland Griesmaier, Bastian Harrach
Monotonicity in Inverse Medium Scattering on Unbounded Domains. SIAM J. Appl. Math. 78 (5) (2018)