Hettlich, Frank

Compute Distance To:
 Author ID: hettlich.frank Published as: Hettlich, Frank; Hettlich, F.
 Documents Indexed: 50 Publications since 1990, including 27 Books 1 Contribution as Editor Co-Authors: 21 Co-Authors with 35 Joint Publications 625 Co-Co-Authors
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Co-Authors

 16 single-authored 22 Arens, Tilo 20 Karpfinger, Christian 20 Stachel, Hellmuth 18 Lichtenegger, Klaus 14 Kockelkorn, Ulrich 6 Busam, Rolf 5 Rundell, William 3 Hagemann, Felix 3 Kirsch, Andreas 2 Brokate, Martin 2 Henze, Norbert 2 Meister, Andreas 2 Rademacher, Daniel 2 Schranz-Kirlinger, Gabriela 2 Sonar, Thomas 1 Angell, Thomas S. 1 Betcke, Timo 1 Dambrine, Marc 1 Kleinman, Ralph Ellis 1 Morgan, Jeff J. 1 Potthast, Roland W. E. 1 Scherzer, Otmar
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Serials

 12 Inverse Problems 3 Berichte aus der Mathematik 2 Mathematical Methods in the Applied Sciences 2 SIAM Journal on Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 Oberwolfach Reports 1 Applied Mathematical Sciences 1 Inverse Problems and Imaging
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Fields

 28 General and overarching topics; collections (00-XX) 24 Partial differential equations (35-XX) 14 Optics, electromagnetic theory (78-XX) 9 Numerical analysis (65-XX) 8 Real functions (26-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 2 Functional analysis (46-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)

Citations contained in zbMATH Open

20 Publications have been cited 385 times in 318 Documents Cited by Year
The mathematical theory of time-harmonic Maxwell’s equations. Expansion-, integral-, and variational methods. Zbl 1342.35004
Kirsch, Andreas; Hettlich, Frank
2015
Fréchet derivatives in inverse obstacle scattering. Zbl 0821.35147
Hettlich, Frank
1995
The determination of a discontinuity in a conductivity from a single boundary measurement. Zbl 0894.35126
Hettlich, Frank; Rundell, William
1998
Iterative methods for the reconstruction of an inverse potential problem. Zbl 0858.35134
Hettlich, Frank; Rundell, William
1996
Identification of a discontinuous source in the heat equation. Zbl 0986.35129
Hettlich, F.; Rundell, W.
2001
A second degree method for nonlinear inverse problems. Zbl 0946.35115
Hettlich, F.; Rundell, W.
2000
The domain derivative of time-harmonic electromagnetic waves at interfaces. Zbl 1247.35167
Hettlich, Frank
2012
Schiffer’s theorem in inverse scattering theory for periodic structures. Zbl 0873.35108
Hettlich, F.; Kirsch, A.
1997
The Landweber iteration applied to inverse conductive scattering problems. Zbl 0917.35160
Hettlich, F.
1998
On the uniqueness of the inverse conductive scattering problem for the Helmholtz equation. Zbl 0804.35147
Hettlich, Frank
1994
The resistive and conductive problems for the exterior Helmholtz equation. Zbl 0724.35032
Angell, T. S.; Kleinman, R. E.; Hettlich, F.
1990
Iterative regularization schemes in inverse scattering by periodic structures. Zbl 1002.35124
Hettlich, F.
2002
Recovery of the support of a source term in an elliptic differential equation. Zbl 0888.35135
Hettlich, Frank; Rundell, William
1997
Uniqueness of the inverse conductive scattering problem for time-harmonic electromagnetic waves. Zbl 0849.35147
Hettlich, F.
1996
Solving inverse electromagnetic scattering problems via domain derivatives. Zbl 1447.35380
Hagemann, Felix; Arens, Tilo; Betcke, Timo; Hettlich, Frank
2019
The definition and measurement of electromagnetic chirality. Zbl 1387.35565
Arens, Tilo; Hagemann, Felix; Hettlich, Frank; Kirsch, Andreas
2018
Two methods for solving an inverse conductive scattering problem. Zbl 0804.35148
Hettlich, Frank
1994
An iterative method for the inverse scattering problem from sound-hard obstacles. Zbl 0886.65126
Hettlich, F.
1996
Mathematics. (Mathematik.) Zbl 1200.00001
Arens, Tilo; Hettlich, Frank; Karpfinger, Christian; Kockelkorn, Ulrich; Lichtenegger, Klaus; Stachel, Hellmuth
2008
Application of the second domain derivative in inverse electromagnetic scattering. Zbl 1454.78023
Hagemann, Felix; Hettlich, Frank
2020
Application of the second domain derivative in inverse electromagnetic scattering. Zbl 1454.78023
Hagemann, Felix; Hettlich, Frank
2020
Solving inverse electromagnetic scattering problems via domain derivatives. Zbl 1447.35380
Hagemann, Felix; Arens, Tilo; Betcke, Timo; Hettlich, Frank
2019
The definition and measurement of electromagnetic chirality. Zbl 1387.35565
Arens, Tilo; Hagemann, Felix; Hettlich, Frank; Kirsch, Andreas
2018
The mathematical theory of time-harmonic Maxwell’s equations. Expansion-, integral-, and variational methods. Zbl 1342.35004
Kirsch, Andreas; Hettlich, Frank
2015
The domain derivative of time-harmonic electromagnetic waves at interfaces. Zbl 1247.35167
Hettlich, Frank
2012
Mathematics. (Mathematik.) Zbl 1200.00001
Arens, Tilo; Hettlich, Frank; Karpfinger, Christian; Kockelkorn, Ulrich; Lichtenegger, Klaus; Stachel, Hellmuth
2008
Iterative regularization schemes in inverse scattering by periodic structures. Zbl 1002.35124
Hettlich, F.
2002
Identification of a discontinuous source in the heat equation. Zbl 0986.35129
Hettlich, F.; Rundell, W.
2001
A second degree method for nonlinear inverse problems. Zbl 0946.35115
Hettlich, F.; Rundell, W.
2000
The determination of a discontinuity in a conductivity from a single boundary measurement. Zbl 0894.35126
Hettlich, Frank; Rundell, William
1998
The Landweber iteration applied to inverse conductive scattering problems. Zbl 0917.35160
Hettlich, F.
1998
Schiffer’s theorem in inverse scattering theory for periodic structures. Zbl 0873.35108
Hettlich, F.; Kirsch, A.
1997
Recovery of the support of a source term in an elliptic differential equation. Zbl 0888.35135
Hettlich, Frank; Rundell, William
1997
Iterative methods for the reconstruction of an inverse potential problem. Zbl 0858.35134
Hettlich, Frank; Rundell, William
1996
Uniqueness of the inverse conductive scattering problem for time-harmonic electromagnetic waves. Zbl 0849.35147
Hettlich, F.
1996
An iterative method for the inverse scattering problem from sound-hard obstacles. Zbl 0886.65126
Hettlich, F.
1996
Fréchet derivatives in inverse obstacle scattering. Zbl 0821.35147
Hettlich, Frank
1995
On the uniqueness of the inverse conductive scattering problem for the Helmholtz equation. Zbl 0804.35147
Hettlich, Frank
1994
Two methods for solving an inverse conductive scattering problem. Zbl 0804.35148
Hettlich, Frank
1994
The resistive and conductive problems for the exterior Helmholtz equation. Zbl 0724.35032
Angell, T. S.; Kleinman, R. E.; Hettlich, F.
1990
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Cited by 441 Authors

 12 Yan, Wenjing 10 Ma, Yichen 9 Harbrecht, Helmut 9 Rapún, María-Luisa 8 Hamdi, Adel 8 Kress, Rainer 7 Bao, Gang 7 Rundell, William 7 Zhang, Bo 6 Elschner, Johannes 6 Hu, Guanghui 6 Li, Peijun 6 Mederski, Jarosław 6 Yan, Guozheng 5 Barucq, Hélène 5 Griesmaier, Roland 5 Hettlich, Frank 5 Le Louër, Frédérique 5 Lesnic, Daniel 4 Allaire, Grégoire 4 Ammari, Habib M. 4 Arens, Tilo 4 Carpio, Ana 4 Dambrine, Marc 4 Djellouli, Rabia 4 Dorn, Oliver 4 Haddar, Houssem 4 He, Yaling 4 Hrizi, Mourad 4 Kirsch, Andreas 4 Monk, Peter B. 4 Nguyen, Hoai-Minh 4 Qu, Fenglong 4 Roberty, Nilson C. 4 Stratis, Ioannis G. 4 Sturm, Kevin 4 Yamamoto, Masahiro 4 Yang, Jiaqing 4 Zhang, Haiwen 3 Afraites, Lekbir 3 Alves, Carlos J. S. 3 Ascher, Uri M. 3 Beretta, Elena 3 Burger, Martin 3 Cakoni, Fioralba 3 Eppler, Karsten 3 Han, Bo 3 Hassine, Maatoug 3 Jerez-Hanckes, Carlos 3 Jin, Bangti 3 Knöller, Marvin 3 Lai, Jun 3 Lee, Kuo-Ming 3 Leitão, Antonio 3 Li, Jingzhi 3 Liu, Hongyu 3 Mahfoudhi, Imed 3 Marin, Liviu 3 Meng, Shixu 3 Pang, Peter Y. H. 3 Pham, Ha Thanh 3 Sun, Jiguang 3 Tong, Shanshan 3 Zou, Jun 3 Zribi, Habib 2 Abreu-Blaya, Ricardo 2 Alberti, Giovanni S. 2 Athanasiadis, Christodoulos E. 2 Bartsch, Thomas J. 2 Betcke, Timo 2 Bin-Mohsin, Bandar 2 Bison, Paolo 2 Cao, Xinlin 2 Ceseri, Maurizio 2 Cheng, Wei 2 Ciarlet, Patrick jun. 2 Cogar, Samuel 2 Dalla Riva, Matteo 2 De Cezaro, Adriano 2 Diao, Huaian 2 Dimiduk, Thomas G. 2 Đinh Nho Hào 2 Elliott, Lionel 2 Escapil-Inchauspé, Paul 2 Estecahandy, Elodie 2 Fang, Weifu 2 Fasino, Dario 2 Fu, Chuli 2 Gao, Guangyu 2 Guo, Jun 2 Hackl, Benjamin 2 Hagemann, Felix 2 Hanke-Bourgeois, Martin 2 Hao, Yongle 2 Harrach, Bastian 2 Helsing, Johan 2 Hiles, Alex J. 2 Hiptmair, Ralf 2 Ikehata, Masaru 2 Ingham, Derek Binns ...and 341 more Authors
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Cited in 99 Serials

 23 Inverse Problems 19 Journal of Computational Physics 19 Inverse Problems in Science and Engineering 13 Applicable Analysis 12 Inverse Problems and Imaging 9 Mathematical Methods in the Applied Sciences 9 Journal of Computational and Applied Mathematics 9 SIAM Journal on Mathematical Analysis 9 Journal of Inverse and Ill-Posed Problems 8 Computers & Mathematics with Applications 8 Numerische Mathematik 7 SIAM Journal on Applied Mathematics 6 Journal of Integral Equations and Applications 5 Wave Motion 5 Applied Mathematics and Computation 5 Applied Numerical Mathematics 5 Numerical Methods for Partial Differential Equations 5 SIAM Journal on Imaging Sciences 4 Journal of Mathematical Analysis and Applications 4 Journal of Mathematical Physics 4 Journal of Differential Equations 4 Transactions of the American Mathematical Society 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Engineering Analysis with Boundary Elements 4 Mathematical Problems in Engineering 3 Applied Mathematics and Optimization 3 Mathematics and Computers in Simulation 3 Journal of Scientific Computing 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Advances in Computational Mathematics 3 Abstract and Applied Analysis 3 SIAM/ASA Journal on Uncertainty Quantification 2 Mathematics of Computation 2 Computing 2 Integral Equations and Operator Theory 2 Journal of Functional Analysis 2 SIAM Journal on Control and Optimization 2 Applied Mathematical Modelling 2 Communications in Partial Differential Equations 2 Computational Optimization and Applications 2 SIAM Journal on Scientific Computing 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Annales Henri Poincaré 2 The ANZIAM Journal 2 Journal of Evolution Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Complex Variables and Elliptic Equations 2 Communications in Computational Physics 2 Discrete and Continuous Dynamical Systems. Series S 2 SN Partial Differential Equations and Applications 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 International Journal for Numerical Methods in Fluids 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Engineering Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 BIT 1 Journal of Optimization Theory and Applications 1 Numerical Functional Analysis and Optimization 1 SIAM Journal on Numerical Analysis 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Mathematics Letters 1 The Journal of Geometric Analysis 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Journal of Mathematical Sciences (New York) 1 Advances in Applied Clifford Algebras 1 Journal of Mathematical Chemistry 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Computational Geosciences 1 Journal of Modern Optics 1 Mathematical Modelling and Analysis 1 Archives of Computational Methods in Engineering 1 Foundations of Computational Mathematics 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Multiscale Modeling & Simulation 1 International Journal of Numerical Analysis and Modeling 1 Science in China. Series G 1 Boundary Value Problems 1 Journal of Fixed Point Theory and Applications 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Advances in Mathematical Physics 1 Advances in Applied Mathematics and Mechanics 1 Science China. Mathematics 1 GEM - International Journal on Geomathematics 1 Journal of Spectral Theory 1 Journal of Mathematics in Industry 1 S$$\vec{\text{e}}$$MA Journal 1 Research in the Mathematical Sciences 1 Minimax Theory and its Applications 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 AIMS Mathematics 1 Electronic Research Archive
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Cited in 34 Fields

 226 Partial differential equations (35-XX) 155 Numerical analysis (65-XX) 121 Optics, electromagnetic theory (78-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 36 Fluid mechanics (76-XX) 26 Mechanics of deformable solids (74-XX) 19 Operator theory (47-XX) 11 Classical thermodynamics, heat transfer (80-XX) 11 Biology and other natural sciences (92-XX) 10 Integral equations (45-XX) 8 Potential theory (31-XX) 8 Information and communication theory, circuits (94-XX) 7 Ordinary differential equations (34-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Geophysics (86-XX) 5 Functions of a complex variable (30-XX) 5 Statistics (62-XX) 4 Probability theory and stochastic processes (60-XX) 4 Computer science (68-XX) 3 Functional analysis (46-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Quantum theory (81-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX)