Publications
Monographs / Textbooks
- T. Arens, F. Hettlich, Ch. Karpfinger, U. Kockelkorn, K. Lichtenegger, H. Stachel: Lehrbuch Mathematik; Springer-Spektrum, 5. Aufl. 2022
- M. Brokate, N. Henze, F. Hettlich, A. Meister, G. Schranz-Kirlinger, Th. Sonar: Grundwissen Mathematikstudium - Höhere Analysis, Numerik und Stochastik; Springer-Spektrum, 2015
- A. Kirsch, F. Hettlich: The Mathematical Theory of Time-Harmonic Maxwell's Equations; Expansion-, Integral-, and Variational Methods; Springer, 2015
- T. Arens, R. Busam, F. Hettlich, Ch. Karpfinger, H. Stachel: Grundwissen Mathematikstudium - Analysis und Lineare Algebra mit Querverbindungen; Springer-Spektrum, 2013
- F. Hettlich: Skriptum Vorkurs Mathematik, Shaker-Verlag, 2009
Preprints
- On potential-based shape derivatives of the elctromagnetic tranmission problem. CRC Preprint 2022/75, Karlsruhe Institute of Technology, 2022, https://doi.org/10.5445/IR/1000154080 .
Publications (refereed journals)
- The domain derivative for semilinear elliptic inverse obstacle problems, Inverse Problems & Imaging, 16 (2022), https://doi.org/10.3934/ipi.2021071 .
- Application of the second domain derivative in inverse electromagnetic scattering (with F. Hagemann), Inverse Problems, 36 (2020), https://doi.org/10.1088/1361-6420/abaa31 .
- Solving inverse electromagnetic scattering problems via domain derivatives (with T. Arens, T. Betcke, F. Hagemann), Inverse Problems, 35 (2019), https://dx.doi.org/10.1088/1361-6420/ab10cb .
- The Definition and Measurement of Electromagnetic Chirality (with T.Arens, F.Hagemann and A.Kirsch), Mathematical Methods in the Applied Sciences (2018), http://dx.doi.org/10.1002/mma.4628 .
- The domain derivative of time-harmonic electromagnetic waves at interfaces, Math. Methods Appl Sci 35 (2012), 1681-1689.
- Reconstruction of periodic gratings from one scattered wave, Journal of Mathematics and Computers in Simulation 66 (2004), 315-324.
- Vibration Parameter Extraction from Endoscopic Image Series of the Vocal folds, IEEE Transaction on Biomedical Engineering 49 (2002), 773-781, (with M. Doellinger, U. Hoppe, S. Schuberth and U. Eysholdt)
- Iterative Regularization Schemes in Inverse Scattering by Periodic Structures, Inverse Problems 18 (2002), 701-714
- Identification of a Discontinous Source in the Heat Equation, Inverse Problems 17 (2001), 1465-1482 (with W. Rundell)
- A Second Degree Method for Nonlinear Inverse Problems, SIAM J. Numer. Anal. 37 (2000), 587-620 (with W. Rundell)
- The Landweber Iteration Applied to Inverse Conductive Scattering Porblems, Inverse Problems 14 (1998), 931-947.
- The Determination of a Discontinuity in a Conductivity from a Single Boundary Measurement, Inverse Problems 14 (1998), 67-82 (with W. Rundell)
- Recovery of the Support of a Source Term in an Elliptic Differential Equation, Inverse Problems 13 (1997), 959-976 (with W. Rundell)
- Schiffer's Theorem in Inverse Scattering Theory for Periodic Structures, Inverse Problems 13 (1997), 351-361 (with A. Kirsch)
- Iterative Methods for the Reconstruction of an Inverse Potential Problem, Inverse Problems 12 (1996), 251-266 (with W. Rundell).
- Uniqueness of the Inverse Conductive Scattering Problem for Time-Harmonic Electromagnetic Waves, SIAM J. Appl. Math. 56 (1996), 588-601.
- Frechet Derivatives in Inverse Obstacle Scattering, Inverse Problems 11 (1995), 371-382.
- Two Methods for Solving an Inverse Conductive Scattering Problem, Inverse Problems 10 (1994), 375-385.
- On the Uniqueness of the Inverse Conductive Scattering Problem for the Helmholtz Equation, Inverse Problems 10 (1994), 129-144.
- The Resistive and Conductive Problems for the Exterior Helmholtz Equation, SIAM J. Appl. Math. 50 (1990), 1607-1622 (with T.S. Angell and R.E. Kleinman)