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ORCIDBastian von Harrach
Person information
- affiliation: Goethe Universität Frankfurt am Main, Germany
- affiliation (former): Department of Mathematics, Julius Maximilian University of Würzburg
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2020 – today
- 2023
[j24]Bastian Harrach
:
The Calderón Problem with Finitely Many Unknowns is Equivalent to Convex Semidefinite Optimization. SIAM J. Math. Anal. 55(5): 5666-5684 (2023)- 2022
- [j23]Bastian Harrach:
Solving an inverse elliptic coefficient problem by convex non-linear semidefinite programming. Optim. Lett. 16(5): 1599-1609 (2022) - [i10]Sarah Eberle, Bastian Harrach:
Resolution Guarantees for the Reconstruction of Inclusions in Linear Elasticity Based on Monotonicity Methods. CoRR abs/2208.06865 (2022) - 2021
- [j22]Bastian Harrach:
Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem. Numerische Mathematik 147(1): 29-70 (2021) - [j21]Roland Griesmaier, Bastian Harrach:
Erratum: Monotonicity in Inverse Medium Scattering on Unbounded Domains. SIAM J. Appl. Math. 81(3): 1332-1337 (2021) - [i9]Thomas Gerstner, Bastian Harrach, Daniel Roth, Martin Simon:
Multilevel Monte Carlo learning. CoRR abs/2102.08734 (2021) - [i8]Bastian Harrach:
An introduction to finite element methods for inverse coefficient problems in elliptic PDEs. CoRR abs/2103.00888 (2021) - [i7]Sarah Eberle, Bastian Harrach:
Shape Reconstruction in Linear Elasticity: One-step Linearization and Monotonicity-based Regularization. CoRR abs/2105.01941 (2021) - [i6]Bastian Harrach:
Solving an inverse elliptic coefficient problem by convex non-linear semidefinite programming. CoRR abs/2105.11440 (2021) - 2020
- [j20]Bastian Harrach, Tim Jahn, Roland Potthast:
Beyond the Bakushinkii veto: regularising linear inverse problems without knowing the noise distribution. Numerische Mathematik 145(3): 581-603 (2020) - [j19]Bastian Harrach, Yi-Hsuan Lin:
Monotonicity-Based Inversion of the Fractional Schödinger Equation II. General Potentials and Stability. SIAM J. Math. Anal. 52(1): 402-436 (2020) - [i5]Sarah Eberle, Bastian Harrach:
Shape Reconstruction in Linear Elasticity: Standard and Linearized Monotonicity Method. CoRR abs/2003.02598 (2020) - [i4]Bastian Harrach, Tim Jahn, Roland Potthast:
Regularising linear inverse problems under unknown non-Gaussian white noise. CoRR abs/2010.04519 (2020)
2010 – 2019
- 2019
- [j18]Bastian Harrach, Houcine Meftahi:
Global Uniqueness and Lipschitz-Stability for the Inverse Robin Transmission Problem. SIAM J. Appl. Math. 79(2): 525-550 (2019) - [j17]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): 1275-1295 (2019) - [j16]Bastian Harrach, Valter Pohjola, Mikko Salo:
Dimension Bounds in Monotonicity Methods for the Helmholtz Equation. SIAM J. Math. Anal. 51(4): 2995-3019 (2019) - [j15]Bastian Harrach, Yi-Hsuan Lin:
Monotonicity-based Inversion of the Fractional Schrödinger Equation I. Positive Potentials. SIAM J. Math. Anal. 51(4): 3092-3111 (2019) - [i3]Sarah Eberle, Bastian Harrach, Houcine Meftahi, Taher Rezgui:
Lipschitz stability estimate and reconstruction of Lamé parameters in linear elasticity. CoRR abs/1906.02194 (2019) - [i2]Thomas Gerstner, Bastian Harrach, Daniel Roth:
Convergence of Milstein Brownian bridge Monte Carlo methods and stable Greeks calculation. CoRR abs/1906.11002 (2019) - [i1]Bastian Harrach:
On stable invertibility and global Newton convergence for convex monotonic functions. CoRR abs/1907.02759 (2019) - 2018
- [j14]Tommi Brander, Bastian von Harrach, Manas Kar, Mikko Salo:
Monotonicity and Enclosure Methods for the p-Laplace Equation. SIAM J. Appl. Math. 78(2): 742-758 (2018) - [j13]Roland Griesmaier, Bastian Harrach:
Monotonicity in Inverse Medium Scattering on Unbounded Domains. SIAM J. Appl. Math. 78(5): 2533-2557 (2018) - [j12]Bastian Harrach, Yi-Hsuan Lin, Hongyu Liu:
On Localizing and Concentrating Electromagnetic Fields. SIAM J. Appl. Math. 78(5): 2558-2574 (2018) - [j11]Dominik Garmatter, Bastian von Harrach:
Magnetic Resonance Electrical Impedance Tomography (MREIT): Convergence and Reduced Basis Approach. SIAM J. Imaging Sci. 11(1): 863-887 (2018) - 2015
- [j10]Bastian von Harrach, Marcel Ullrich:
Resolution Guarantees in Electrical Impedance Tomography. IEEE Trans. Medical Imaging 34(7): 1513-1521 (2015) - 2013
- [j9]Bastian von Harrach:
Recent Progress on the Factorization Method for Electrical Impedance Tomography. Comput. Math. Methods Medicine 2013: 425184:1-425184:8 (2013) - [j8]Munkh-Erdene Ts, Eunjung Lee, Jin Keun Seo, Bastian von Harrach, Sungwhan Kim:
Projective Electrical Impedance Reconstruction with Two Measurements. SIAM J. Appl. Math. 73(4): 1659-1675 (2013) - [j7]Bastian von Harrach, Marcel Ullrich:
Monotonicity-Based Shape Reconstruction in Electrical Impedance Tomography. SIAM J. Math. Anal. 45(6): 3382-3403 (2013) - 2012
- [j6]Lilian Arnold, Bastian von Harrach:
A Unified Variational Formulation for the Parabolic-Elliptic Eddy Current Equations. SIAM J. Appl. Math. 72(2): 558-576 (2012) - 2010
- [j5]Bastian von Harrach, Jin Keun Seo:
Exact Shape-Reconstruction by One-Step Linearization in Electrical Impedance Tomography. SIAM J. Math. Anal. 42(4): 1505-1518 (2010) - [j4]Bastian von Harrach, Jin Keun Seo, Eung Je Woo:
Factorization Method and Its Physical Justification in Frequency-Difference Electrical Impedance Tomography. IEEE Trans. Medical Imaging 29(11): 1918-1926 (2010)
2000 – 2009
- 2009
- [j3]Bastian von Harrach, Jin Keun Seo:
Detecting Inclusions in Electrical Impedance Tomography Without Reference Measurements. SIAM J. Appl. Math. 69(6): 1662-1681 (2009) - 2008
- [j2]Bastian Gebauer, Otmar Scherzer:
Impedance-Acoustic Tomography. SIAM J. Appl. Math. 69(2): 565-576 (2008) - 2007
- [j1]Florian Frühauf, Bastian Gebauer, Otmar Scherzer:
Detecting Interfaces in a Parabolic-Elliptic Problem from Surface Measurements. SIAM J. Numer. Anal. 45(2): 810-836 (2007)
Coauthor Index
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