# zbMATH — the first resource for mathematics

## Kirsch, Andreas

Compute Distance To:
 Author ID: kirsch.andreas Published as: Kirsch, Andreas; Kirsch, A.
 Documents Indexed: 120 Publications since 1952, including 8 Books 4 Contributions as Editor Reviewing Activity: 124 Reviews
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#### Co-Authors

 42 single-authored 13 Colton, David Lem 6 Angell, Thomas S. 6 Hanke-Bourgeois, Martin 6 Monk, Peter B. 5 Rieder, Andreas 4 Kress, Rainer 4 Lechleiter, Armin 4 Liu, Xiaodong 3 Arens, Tilo 3 Cakoni, Fioralba 3 Hettlich, Frank 2 Bondarenko, Oleksandr 2 Charalambopoulos, Antonios 2 Gintides, Drossos 2 Hu, Guanghui 2 Jahn, Johannes 2 Kiriaki, Kiriakie 2 Päivärinta, Lassi 2 Ritter, Stefan Matthias 2 Rundell, William 1 Anagnostopoulos, Konstantinos A. 1 Asatryan, Hayk A. 1 Berendt, Gerhard 1 Chandler-Wilde, Simon N. 1 Constanda, Christian 1 Engl, Heinz W. 1 Fellin, Wolfgang 1 Grinberg, N. I. 1 Grinberg, Natalia 1 Haddar, Houssem 1 Hadwiger, Hugo 1 Hagemann, Felix 1 Harrach, Bastian 1 Jüschke, Arno 1 Kirchgraber, Urs 1 Kleefeld, Andreas 1 Kolymbas, Dimitrios 1 Lassas, Matti J. 1 Muniz, Wagner Barbosa 1 Reemtsen, Rembert M. 1 Ruiz, Alberto 1 Scherzer, Otmar 1 Schmitt, Susanne 1 Schneider, Christoph 1 Schomburg, Bernd 1 Sini, Mourad 1 Stoffer, Daniel 1 Wagner, Carmen 1 Warth, Wolfgang 1 Werner, Jochen 1 Wilde, Peter J. 1 Xiong, Zonghou 1 Yin, Tao 1 Zinn, Axel
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#### Serials

 28 Inverse Problems 11 Mathematical Methods in the Applied Sciences 6 Applicable Analysis 6 SIAM Journal on Applied Mathematics 4 Applied Mathematical Sciences 4 Inverse Problems and Imaging 3 Journal of Integral Equations and Applications 3 SIAM Journal on Mathematical Analysis 3 Oberwolfach Reports 2 IMA Journal of Numerical Analysis 2 MNU. Der Mathematische und Naturwissenschaftliche Unterricht 2 Numerische Mathematik 2 Journal of Inverse and Ill-Posed Problems 1 IMA Journal of Applied Mathematics 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Journal of Mathematical Analysis and Applications 1 Mathematische Semesterberichte 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Applied Mathematics and Optimization 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of Optimization Theory and Applications 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Numerical Functional Analysis and Optimization 1 Portugaliae Mathematica 1 Proceedings of the American Mathematical Society 1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bollettino della Unione Matemàtica Italiana. Serie VI. A 1 Computational Optimization and Applications 1 Mathematical Methods of Operations Research 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Lecture Notes in Economics and Mathematical Systems 1 Methods of Operations Research 1 Oxford Lecture Series in Mathematics and its Applications 1 International Journal of Computing Science and Mathematics 1 Mathematisch-Physikalische Semesterberichte 1 Springer Monographs in Mathematics
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#### Fields

 86 Partial differential equations (35-XX) 54 Optics, electromagnetic theory (78-XX) 31 Numerical analysis (65-XX) 19 Fluid mechanics (76-XX) 13 Integral equations (45-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Mechanics of deformable solids (74-XX) 7 Geophysics (86-XX) 6 Ordinary differential equations (34-XX) 6 Operations research, mathematical programming (90-XX) 5 General and overarching topics; collections (00-XX) 5 Operator theory (47-XX) 3 Information and communication theory, circuits (94-XX) 2 Potential theory (31-XX) 2 Functional analysis (46-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH Open

101 Publications have been cited 1,973 times in 1,216 Documents Cited by Year
An introduction to the mathematical theory of inverse problems. Zbl 0865.35004
Kirsch, Andreas
1996
A simple method for solving inverse scattering problems in the resonance region. Zbl 0859.35133
Colton, David; Kirsch, Andreas
1996
An introduction to the mathematical theory of inverse problems. 2nd ed. Zbl 1213.35004
Kirsch, Andreas
2011
The factorization method for inverse problems. Zbl 1222.35001
Kirsch, Andreas; Grinberg, Natalia
2008
Characterization of the shape of a scattering obstacle using the spectral data of the far field operator. Zbl 0919.35147
Kirsch, Andreas
1998
The domain derivative and two applications in inverse scattering theory. Zbl 0773.35085
Kirsch, A.
1993
The mathematical theory of time-harmonic Maxwell’s equations. Expansion-, integral-, and variational methods. Zbl 1342.35004
Kirsch, Andreas; Hettlich, Frank
2015
Uniqueness in inverse obstacle scattering. Zbl 0787.35119
Kirsch, Andreas; Kress, Rainer
1993
The MUSIC algorithm and the factorization method in inverse scattering theory for inhomogeneous media. Zbl 1027.35158
Kirsch, Andreas
2002
The denseness of the far field patterns for the transmission problem. Zbl 0652.35104
Kirsch, Andreas
1986
A linear sampling method for inverse scattering from an open arc. Zbl 0968.35129
Kirsch, Andreas; Ritter, Stefan
2000
On the existence of transmission eigenvalues. Zbl 1186.35122
Kirsch, Andreas
2009
Far-field patterns for acoustic waves in an inhomogeneous medium. Zbl 0681.76084
Colton, David; Kirsch, Andreas; Päivärinta, Lassi
1989
The inside-outside duality for scattering problems by inhomogeneous media. Zbl 1285.35058
Kirsch, Andreas; Lechleiter, Armin
2013
Diffraction by periodic structures. Zbl 0924.35013
Kirsch, Andreas
1993
Factorization of the far-field operator for the inhomogeneous medium case and an application in inverse scattering theory. Zbl 0926.35162
Kirsch, Andreas
1999
The factorization method in inverse scattering from periodic structures. Zbl 1330.35519
Arens, Tilo; Kirsch, Andreas
2003
The factorization method in inverse elastic scattering from penetrable bodies. Zbl 1111.74024
Charalambopoulos, Antonios; Kirsch, Andreas; Anagnostopoulos, Konstantinos A.; Gintides, Drossos; Kiriaki, Kiriakie
2007
Some inverse problems arising from elastic scattering by rigid obstacles. Zbl 1334.74047
Hu, Guanghui; Kirsch, Andreas; Sini, Mourad
2013
Surface gradients and continuity properties for some integral operators in classical scattering theory. Zbl 0692.35073
Kirsch, A.
1989
Uniqueness theorems in inverse scattering theory for periodic structures. Zbl 0805.35155
Kirsch, Andreas
1994
An analysis of the coupling of finite-element and Nyström methods in acoustic scattering. Zbl 0816.65104
Kirsch, A.; Monk, P.
1994
A finite element/spectral method for approximating the time-harmonic Maxwell system in $$\mathbb{R}^ 3$$. Zbl 0840.65128
Kirsch, Andreas; Monk, Peter
1995
The factorization method for a class of inverse elliptic problems. Zbl 1067.35148
Kirsch, Andreas
2005
The conductive boundary condition for Maxwell’s equations. Zbl 0786.35127
Angell, T. S.; Kirsch, A.
1992
An integral equation approach and the interior transmission problem for Maxwell’s equations. Zbl 1129.35080
Kirsch, Andreas
2007
Schiffer’s theorem in inverse scattering theory for periodic structures. Zbl 0873.35108
Hettlich, F.; Kirsch, A.
1997
A Nyström method for a class of integral equations on the real line with applications to scattering by diffraction gratings and rough surfaces. Zbl 1170.78365
Meier, A.; Arens, T.; Chandler-Wilde, S. N.; Kirsch, A.
2000
Two methods for solving the inverse acoustic scattering problem. Zbl 0698.65076
Kirsch, Andreas; Kress, Rainer; Monk, P.; Zinn, Axel
1988
On recovering obstacles inside inhomogeneities. Zbl 0915.35116
Kirsch, Andreas; Päivärinta, Lassi
1998
The operator equations of Lippmann-Schwinger type for acoustic and electromagnetic scattering problems in $$L^{2}$$. Zbl 1179.78053
Kirsch, A.; Lechleiter, A.
2009
Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity. Zbl 1416.65164
Kirsch, Andreas; Rieder, Andreas
2016
The factorization method for inverse acoustic scattering in a layered medium. Zbl 1273.65167
Bondarenko, Oleksandr; Kirsch, Andreas; Liu, Xiaodong
2013
On the interior transmission eigenvalue problem. Zbl 1204.78008
Cakoni, Fioralba; Kirsch, Andreas
2010
The factorization method for Maxwell’s equations. Zbl 1077.78011
Kirsch, Andreas
2004
Dense sets and far field patterns in acoustic wave propagation. Zbl 0572.76074
Colton, David; Kirsch, Andreas
1984
Simultaneous reconstructions of absorption density and wave speed with photoacoustic measurements. Zbl 1257.35198
Kirsch, Andreas; Scherzer, Otmar
2012
The factorization method for obstacles with a-priori separated sound-soft and sound-hard parts. Zbl 1054.65111
Grinberg, N. I.; Kirsch, A.
2004
Direct and inverse acoustic scattering by a mixed-type scatterer. Zbl 1273.76380
Kirsch, Andreas; Liu, Xiaodong
2013
The determination of the surface impedance of an obstacle from measurements of the far field pattern. Zbl 0464.35077
Colton, David; Kirsch, Andreas
1981
The three dimensional inverse scattering problem for acoustic waves. Zbl 0496.65069
Angell, T. S.; Colton, David; Kirsch, Andreas
1982
On the linearization of operators related to the full waveform inversion in seismology. Zbl 1319.35300
Kirsch, Andreas; Rieder, Andreas
2014
A modification of the factorization method for the classical acoustic inverse scattering problems. Zbl 1291.35223
Kirsch, Andreas; Liu, Xiaodong
2014
An integral equation for Maxwell’s equations in a layered medium with an application to the factorization method. Zbl 1136.78310
Kirsch, Andreas
2007
Optimization methods in electromagnetic radiation. Zbl 1037.78001
Angell, Thomas S.; Kirsch, Andreas
2004
Convergence analysis of a coupled finite element and spectral method in acoustic scattering. Zbl 0712.65095
Kirsch, A.; Monk, P.
1990
A method for the numerical solution of the one-dimensional inverse Stefan problem. Zbl 0591.65086
Reemtsen, R.; Kirsch, A.
1984
New characterizations of solutions in inverse scattering theory. Zbl 1028.35167
Kirsch, Andreas
2000
The Nyström method for solving a class of singular integral equations and applications in 3D-plate elasticity. Zbl 0921.65093
Kirsch, Andreas; Ritter, Stefan
1999
The factorization method for an inverse fluid-solid interaction scattering problem. Zbl 1261.35096
Kirsch, Andreas; Ruiz, Albert
2012
Notwendige Optimalitätsbedingungen und ihre Anwendung. Zbl 0375.49001
Kirsch, Andreas; Warth, Wolfgang; Werner, Jochen
1978
The linear sampling method in inverse obstacle scattering for impedance boundary conditions. Zbl 0999.35108
Grinberg, N.; Kirsch, A.
2002
Properties of far-field operators in acoustic scattering. Zbl 0692.35072
Kirsch, A.
1989
The Robin problem for the Helmholtz equation as a singular perturbation problem. Zbl 0622.65107
Kirsch, Andreas
1985
A sampling method for detecting buried objects using electromagnetic scattering. Zbl 1112.78013
Gebauer, Bastian; Hanke, Martin; Kirsch, Andreas; Muniz, Wagner; Schneider, Christoph
2005
Über Zerlegungsgleichheit von Funktionen und Integration in abstrakten Räumen. Zbl 0047.29201
Kirsch, A.
1952
The limiting absorption principle and a radiation condition for the scattering by a periodic layer. Zbl 1454.35246
Kirsch, Andreas; Lechleiter, Armin
2018
Sampling methods. Zbl 1259.35222
Hanke, Martin; Kirsch, Andreas
2011
Stable methods for solving the inverse scattering problem for a cylinder. Zbl 0474.35084
Colton, David; Kirsch, Andreas
1981
A finite element method for approximating electromagnetic scattering from a conducting object. Zbl 1004.78007
Kirsch, Andreas; Monk, Peter
2002
Sampling methods. 2nd edition. Zbl 1331.35385
Hanke-Bourgeois, Martin; Kirsch, Andreas
2015
Factorization method in inverse interaction problems with bi-periodic interfaces between acoustic and elastic waves. Zbl 1332.74033
Hu, Guanghui; Kirsch, Andreas; Yin, Tao
2016
Optimization of rod antennas of mobile phones. Zbl 1083.90026
Jahn, Johannes; Kirsch, Andreas; Wagner, Carmen
2004
Zerlegungsinvarianz des Integrals und absolute Integrierbarkeit. Zbl 0047.29202
1952
A radiation condition arising from the limiting absorption principle for a closed full- or half-waveguide problem. Zbl 1406.35108
Kirsch, Andreas; Lechleiter, Armin
2018
On the necessary conditions for optimal control of retarded systems. Zbl 0717.49019
Angell, T. S.; Kirsch, A.
1990
On an integral equation of the first kind in inverse acoustic scattering. Zbl 0607.65089
Kirsch, Andreas; Kress, Rainer
1986
The factorization method for inverse acoustic scattering by a penetrable anisotropic obstacle. Zbl 1290.35331
Kirsch, Andreas; Liu, Xiaodong
2014
A numerical method for an inverse scattering problem. Zbl 0629.65132
Kirsch, Andreas; Kress, Rainer
1987
A bicriterial optimization problem of antenna design. Zbl 0872.90112
Jüschke, Arno; Jahn, Johannes; Kirsch, Andreas
1997
Inverse scattering theory for time-harmonic waves. Zbl 1051.78014
Kirsch, Andreas
2003
A note on Sylvester’s proof of discreteness of interior transmission eigenvalues. (Une remarque sur la preuve de la distribution discrète des valeurs propres intérieures de transmission de Sylvester.) Zbl 1380.35082
Kirsch, Andreas
2016
The Backus-Gilbert method. Zbl 0695.65075
Kirsch, A.; Schomburg, B.; Berendt, G.
1988
Karp’s theorem in acoustic scattering theory. Zbl 0699.35256
Colton, David; Kirsch, Andreas
1988
The factorization method for a conductive boundary condition. Zbl 1263.78013
Kirsch, Andreas; Kleefeld, Andreas
2012
An approximation problem in inverse scattering theory. Zbl 0798.35155
Colton, David; Kirsch, Andreas
1991
The factorization method for an acoustic wave guide. Zbl 1106.76060
Charalambopoulos, Antonios; Gintides, Drossos; Kiriaki, Kiriakie; Kirsch, Andreas
2006
An integral equation for the scattering problem for an anisotropic medium and the factorization method. Zbl 1425.65134
Kirsch, Andreas
2008
Optimal control of an exterior Robin problem. Zbl 0466.49003
Kirsch, Andreas
1981
Seismic tomography is locally ill-posed. Zbl 1308.86007
Kirsch, Andreas; Rieder, Andreas
2014
Inverse problems for abstract evolution equations. II: Higher order differentiability for viscoelasticity. Zbl 1427.35361
Kirsch, Andreas; Rieder, Andreas
2019
Scattering by a periodic tube in $$\mathbb{R}^3$$: I: The limiting absorption principle. Zbl 1461.35177
Kirsch, Andreas
2019
Scattering by a periodic tube in $$\mathbb{R}^3$$. II: A radiation condition. Zbl 1426.78016
Kirsch, Andreas
2019
Continuous perturbations of infinite optimization problems. Zbl 0417.49037
Kirsch, A.
1980
The linear sampling method in inverse scattering theory. Zbl 0968.35132
Colton, David; Kirsch, Andreas; Monk, Peter
2000
A weak bang-bang principle for the control of an exterior Robin problem. Zbl 0452.49018
Kirsch, Andreas
1982
The factorization method for inverse scattering by a penetrable anisotropic obstacle with conductive boundary condition. Zbl 1356.78081
Bondarenko, Oleksandr; Kirsch, Andreas
2016
The definition and measurement of electromagnetic chirality. Zbl 1387.35565
Arens, Tilo; Hagemann, Felix; Hettlich, Frank; Kirsch, Andreas
2018
A factorization scheme for determining conductivity contrasts in impedance tomography. Zbl 1251.94008
Schmitt, Susanne; Kirsch, Andreas
2011
Remarks on the Born approximation and the factorization method. Zbl 1364.35222
Kirsch, Andreas
2017
Zur Störung von Optimierungsaufgaben unter besonderer Berücksichtigung von optimalen Steuerungsproblemen. Zbl 0428.49022
Kirsch, Andreas
1978
Multicriteria optimization in antenna design. Zbl 0758.90081
Angell, T. S.; Kirsch, A.
1992
Integral methods in science and engineering. Theoretical and computational advances. Papers based on the presentations at the international conference, IMSE, Karlsruhe, Germany, July 21–25, 2014. Zbl 1330.65004
2015
Corrigendum to: “Seismic tomography is locally ill-posed”. Zbl 1330.86013
Kirsch, A.; Rieder, A.
2015
An inverse scattering problem for periodic structures. Zbl 0840.35121
Kirsch, A.
1995
Numerical algorithms in inverse scattering theory. Zbl 0787.65092
Kirsch, A.
1993
Target signatures for imperfectly conducting obstacles at fixed frequency. Zbl 0808.35149
Colton, David; Kirsch, Andreas
1994
Remarks on some notions of weak solutions for the Helmholtz equation. Zbl 0727.35027
Kirsch, Andreas
1992
Some remarks concerning the computation of bang-bang controls. Zbl 0564.49019
Kirsch, A.
1984
Some optimal control problems in antenna theory. Zbl 0602.49003
Kirsch, Andreas
1986
An introduction to the mathematical theory of inverse problems. 3rd updated edition. Zbl 1456.35001
Kirsch, Andreas
2021
Inverse problems for abstract evolution equations. II: Higher order differentiability for viscoelasticity. Zbl 1427.35361
Kirsch, Andreas; Rieder, Andreas
2019
Scattering by a periodic tube in $$\mathbb{R}^3$$: I: The limiting absorption principle. Zbl 1461.35177
Kirsch, Andreas
2019
Scattering by a periodic tube in $$\mathbb{R}^3$$. II: A radiation condition. Zbl 1426.78016
Kirsch, Andreas
2019
The limiting absorption principle and a radiation condition for the scattering by a periodic layer. Zbl 1454.35246
Kirsch, Andreas; Lechleiter, Armin
2018
A radiation condition arising from the limiting absorption principle for a closed full- or half-waveguide problem. Zbl 1406.35108
Kirsch, Andreas; Lechleiter, Armin
2018
The definition and measurement of electromagnetic chirality. Zbl 1387.35565
Arens, Tilo; Hagemann, Felix; Hettlich, Frank; Kirsch, Andreas
2018
Remarks on the Born approximation and the factorization method. Zbl 1364.35222
Kirsch, Andreas
2017
Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity. Zbl 1416.65164
Kirsch, Andreas; Rieder, Andreas
2016
Factorization method in inverse interaction problems with bi-periodic interfaces between acoustic and elastic waves. Zbl 1332.74033
Hu, Guanghui; Kirsch, Andreas; Yin, Tao
2016
A note on Sylvester’s proof of discreteness of interior transmission eigenvalues. (Une remarque sur la preuve de la distribution discrète des valeurs propres intérieures de transmission de Sylvester.) Zbl 1380.35082
Kirsch, Andreas
2016
The factorization method for inverse scattering by a penetrable anisotropic obstacle with conductive boundary condition. Zbl 1356.78081
Bondarenko, Oleksandr; Kirsch, Andreas
2016
The mathematical theory of time-harmonic Maxwell’s equations. Expansion-, integral-, and variational methods. Zbl 1342.35004
Kirsch, Andreas; Hettlich, Frank
2015
Sampling methods. 2nd edition. Zbl 1331.35385
Hanke-Bourgeois, Martin; Kirsch, Andreas
2015
Integral methods in science and engineering. Theoretical and computational advances. Papers based on the presentations at the international conference, IMSE, Karlsruhe, Germany, July 21–25, 2014. Zbl 1330.65004
2015
Corrigendum to: “Seismic tomography is locally ill-posed”. Zbl 1330.86013
Kirsch, A.; Rieder, A.
2015
On the linearization of operators related to the full waveform inversion in seismology. Zbl 1319.35300
Kirsch, Andreas; Rieder, Andreas
2014
A modification of the factorization method for the classical acoustic inverse scattering problems. Zbl 1291.35223
Kirsch, Andreas; Liu, Xiaodong
2014
The factorization method for inverse acoustic scattering by a penetrable anisotropic obstacle. Zbl 1290.35331
Kirsch, Andreas; Liu, Xiaodong
2014
Seismic tomography is locally ill-posed. Zbl 1308.86007
Kirsch, Andreas; Rieder, Andreas
2014
The inside-outside duality for scattering problems by inhomogeneous media. Zbl 1285.35058
Kirsch, Andreas; Lechleiter, Armin
2013
Some inverse problems arising from elastic scattering by rigid obstacles. Zbl 1334.74047
Hu, Guanghui; Kirsch, Andreas; Sini, Mourad
2013
The factorization method for inverse acoustic scattering in a layered medium. Zbl 1273.65167
Bondarenko, Oleksandr; Kirsch, Andreas; Liu, Xiaodong
2013
Direct and inverse acoustic scattering by a mixed-type scatterer. Zbl 1273.76380
Kirsch, Andreas; Liu, Xiaodong
2013
Simultaneous reconstructions of absorption density and wave speed with photoacoustic measurements. Zbl 1257.35198
Kirsch, Andreas; Scherzer, Otmar
2012
The factorization method for an inverse fluid-solid interaction scattering problem. Zbl 1261.35096
Kirsch, Andreas; Ruiz, Albert
2012
The factorization method for a conductive boundary condition. Zbl 1263.78013
Kirsch, Andreas; Kleefeld, Andreas
2012
An introduction to the mathematical theory of inverse problems. 2nd ed. Zbl 1213.35004
Kirsch, Andreas
2011
Sampling methods. Zbl 1259.35222
Hanke, Martin; Kirsch, Andreas
2011
A factorization scheme for determining conductivity contrasts in impedance tomography. Zbl 1251.94008
Schmitt, Susanne; Kirsch, Andreas
2011
On the interior transmission eigenvalue problem. Zbl 1204.78008
Cakoni, Fioralba; Kirsch, Andreas
2010
On the existence of transmission eigenvalues. Zbl 1186.35122
Kirsch, Andreas
2009
The operator equations of Lippmann-Schwinger type for acoustic and electromagnetic scattering problems in $$L^{2}$$. Zbl 1179.78053
Kirsch, A.; Lechleiter, A.
2009
The factorization method for inverse problems. Zbl 1222.35001
Kirsch, Andreas; Grinberg, Natalia
2008
An integral equation for the scattering problem for an anisotropic medium and the factorization method. Zbl 1425.65134
Kirsch, Andreas
2008
The factorization method in inverse elastic scattering from penetrable bodies. Zbl 1111.74024
Charalambopoulos, Antonios; Kirsch, Andreas; Anagnostopoulos, Konstantinos A.; Gintides, Drossos; Kiriaki, Kiriakie
2007
An integral equation approach and the interior transmission problem for Maxwell’s equations. Zbl 1129.35080
Kirsch, Andreas
2007
An integral equation for Maxwell’s equations in a layered medium with an application to the factorization method. Zbl 1136.78310
Kirsch, Andreas
2007
The factorization method for an acoustic wave guide. Zbl 1106.76060
Charalambopoulos, Antonios; Gintides, Drossos; Kiriaki, Kiriakie; Kirsch, Andreas
2006
The factorization method for a class of inverse elliptic problems. Zbl 1067.35148
Kirsch, Andreas
2005
A sampling method for detecting buried objects using electromagnetic scattering. Zbl 1112.78013
Gebauer, Bastian; Hanke, Martin; Kirsch, Andreas; Muniz, Wagner; Schneider, Christoph
2005
The factorization method for Maxwell’s equations. Zbl 1077.78011
Kirsch, Andreas
2004
The factorization method for obstacles with a-priori separated sound-soft and sound-hard parts. Zbl 1054.65111
Grinberg, N. I.; Kirsch, A.
2004
Optimization methods in electromagnetic radiation. Zbl 1037.78001
Angell, Thomas S.; Kirsch, Andreas
2004
Optimization of rod antennas of mobile phones. Zbl 1083.90026
Jahn, Johannes; Kirsch, Andreas; Wagner, Carmen
2004
The factorization method in inverse scattering from periodic structures. Zbl 1330.35519
Arens, Tilo; Kirsch, Andreas
2003
Inverse scattering theory for time-harmonic waves. Zbl 1051.78014
Kirsch, Andreas
2003
The MUSIC algorithm and the factorization method in inverse scattering theory for inhomogeneous media. Zbl 1027.35158
Kirsch, Andreas
2002
The linear sampling method in inverse obstacle scattering for impedance boundary conditions. Zbl 0999.35108
Grinberg, N.; Kirsch, A.
2002
A finite element method for approximating electromagnetic scattering from a conducting object. Zbl 1004.78007
Kirsch, Andreas; Monk, Peter
2002
A linear sampling method for inverse scattering from an open arc. Zbl 0968.35129
Kirsch, Andreas; Ritter, Stefan
2000
A Nyström method for a class of integral equations on the real line with applications to scattering by diffraction gratings and rough surfaces. Zbl 1170.78365
Meier, A.; Arens, T.; Chandler-Wilde, S. N.; Kirsch, A.
2000
New characterizations of solutions in inverse scattering theory. Zbl 1028.35167
Kirsch, Andreas
2000
The linear sampling method in inverse scattering theory. Zbl 0968.35132
Colton, David; Kirsch, Andreas; Monk, Peter
2000
Factorization of the far-field operator for the inhomogeneous medium case and an application in inverse scattering theory. Zbl 0926.35162
Kirsch, Andreas
1999
The Nyström method for solving a class of singular integral equations and applications in 3D-plate elasticity. Zbl 0921.65093
Kirsch, Andreas; Ritter, Stefan
1999
Characterization of the shape of a scattering obstacle using the spectral data of the far field operator. Zbl 0919.35147
Kirsch, Andreas
1998
On recovering obstacles inside inhomogeneities. Zbl 0915.35116
Kirsch, Andreas; Päivärinta, Lassi
1998
Schiffer’s theorem in inverse scattering theory for periodic structures. Zbl 0873.35108
Hettlich, F.; Kirsch, A.
1997
A bicriterial optimization problem of antenna design. Zbl 0872.90112
Jüschke, Arno; Jahn, Johannes; Kirsch, Andreas
1997
An introduction to the mathematical theory of inverse problems. Zbl 0865.35004
Kirsch, Andreas
1996
A simple method for solving inverse scattering problems in the resonance region. Zbl 0859.35133
Colton, David; Kirsch, Andreas
1996
A finite element/spectral method for approximating the time-harmonic Maxwell system in $$\mathbb{R}^ 3$$. Zbl 0840.65128
Kirsch, Andreas; Monk, Peter
1995
An inverse scattering problem for periodic structures. Zbl 0840.35121
Kirsch, A.
1995
Uniqueness theorems in inverse scattering theory for periodic structures. Zbl 0805.35155
Kirsch, Andreas
1994
An analysis of the coupling of finite-element and Nyström methods in acoustic scattering. Zbl 0816.65104
Kirsch, A.; Monk, P.
1994
Target signatures for imperfectly conducting obstacles at fixed frequency. Zbl 0808.35149
Colton, David; Kirsch, Andreas
1994
The domain derivative and two applications in inverse scattering theory. Zbl 0773.35085
Kirsch, A.
1993
Uniqueness in inverse obstacle scattering. Zbl 0787.35119
Kirsch, Andreas; Kress, Rainer
1993
Diffraction by periodic structures. Zbl 0924.35013
Kirsch, Andreas
1993
Numerical algorithms in inverse scattering theory. Zbl 0787.65092
Kirsch, A.
1993
The conductive boundary condition for Maxwell’s equations. Zbl 0786.35127
Angell, T. S.; Kirsch, A.
1992
Multicriteria optimization in antenna design. Zbl 0758.90081
Angell, T. S.; Kirsch, A.
1992
Remarks on some notions of weak solutions for the Helmholtz equation. Zbl 0727.35027
Kirsch, Andreas
1992
An approximation problem in inverse scattering theory. Zbl 0798.35155
Colton, David; Kirsch, Andreas
1991
Convergence analysis of a coupled finite element and spectral method in acoustic scattering. Zbl 0712.65095
Kirsch, A.; Monk, P.
1990
On the necessary conditions for optimal control of retarded systems. Zbl 0717.49019
Angell, T. S.; Kirsch, A.
1990
Far-field patterns for acoustic waves in an inhomogeneous medium. Zbl 0681.76084
Colton, David; Kirsch, Andreas; Päivärinta, Lassi
1989
Surface gradients and continuity properties for some integral operators in classical scattering theory. Zbl 0692.35073
Kirsch, A.
1989
Properties of far-field operators in acoustic scattering. Zbl 0692.35072
Kirsch, A.
1989
Two methods for solving the inverse acoustic scattering problem. Zbl 0698.65076
Kirsch, Andreas; Kress, Rainer; Monk, P.; Zinn, Axel
1988
The Backus-Gilbert method. Zbl 0695.65075
Kirsch, A.; Schomburg, B.; Berendt, G.
1988
Karp’s theorem in acoustic scattering theory. Zbl 0699.35256
Colton, David; Kirsch, Andreas
1988
A numerical method for an inverse scattering problem. Zbl 0629.65132
Kirsch, Andreas; Kress, Rainer
1987
The denseness of the far field patterns for the transmission problem. Zbl 0652.35104
Kirsch, Andreas
1986
On an integral equation of the first kind in inverse acoustic scattering. Zbl 0607.65089
Kirsch, Andreas; Kress, Rainer
1986
Some optimal control problems in antenna theory. Zbl 0602.49003
Kirsch, Andreas
1986
The Robin problem for the Helmholtz equation as a singular perturbation problem. Zbl 0622.65107
Kirsch, Andreas
1985
Dense sets and far field patterns in acoustic wave propagation. Zbl 0572.76074
Colton, David; Kirsch, Andreas
1984
A method for the numerical solution of the one-dimensional inverse Stefan problem. Zbl 0591.65086
Reemtsen, R.; Kirsch, A.
1984
Some remarks concerning the computation of bang-bang controls. Zbl 0564.49019
Kirsch, A.
1984
The three dimensional inverse scattering problem for acoustic waves. Zbl 0496.65069
Angell, T. S.; Colton, David; Kirsch, Andreas
1982
A weak bang-bang principle for the control of an exterior Robin problem. Zbl 0452.49018
Kirsch, Andreas
1982
The determination of the surface impedance of an obstacle from measurements of the far field pattern. Zbl 0464.35077
Colton, David; Kirsch, Andreas
1981
Stable methods for solving the inverse scattering problem for a cylinder. Zbl 0474.35084
Colton, David; Kirsch, Andreas
1981
Optimal control of an exterior Robin problem. Zbl 0466.49003
Kirsch, Andreas
1981
Continuous perturbations of infinite optimization problems. Zbl 0417.49037
Kirsch, A.
1980
Notwendige Optimalitätsbedingungen und ihre Anwendung. Zbl 0375.49001
Kirsch, Andreas; Warth, Wolfgang; Werner, Jochen
1978
Zur Störung von Optimierungsaufgaben unter besonderer Berücksichtigung von optimalen Steuerungsproblemen. Zbl 0428.49022
Kirsch, Andreas
1978
Über Zerlegungsgleichheit von Funktionen und Integration in abstrakten Räumen. Zbl 0047.29201
Kirsch, A.
1952
...and 1 more Documents
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#### Cited by 1,380 Authors

 32 Haddar, Houssem 31 Cakoni, Fioralba 29 Hu, Guanghui 29 Yan, Guozheng 27 Colton, David Lem 24 Liu, Hongyu 21 Kirsch, Andreas 21 Zhang, Bo 20 Kress, Rainer 18 Lechleiter, Armin 17 Li, Peijun 16 Ma, Fuming 16 Nguyen, Dinh Liem 14 Kleefeld, Andreas 14 Park, Won-Kwang 14 Pelekanos, George 13 Fu, Chuli 13 Kaltenbacher, Barbara 13 Liu, Jijun 13 Potthast, Roland W. E. 13 Yang, Fan 12 Liu, Xiaodong 12 Monk, Peter B. 12 Rapún, María-Luisa 12 Sini, Mourad 11 Bao, Gang 11 Griesmaier, Roland 11 Guo, Jun 11 Ji, Xia 11 Li, Jingzhi 11 Sun, Jiguang 11 Yang, Jiaqing 11 Zhang, Haiwen 10 Arens, Tilo 10 Harrach, Bastian 10 Leem, Koung Hee 10 Li, Xiaoxiao 9 Ammari, Habib M. 9 Elschner, Johannes 9 Nakamura, Gen 9 Nguyen Huy Tuan 9 Zou, Jun 8 Bonnet, Marc 8 Bourgeois, Laurent 8 Chapko, Roman 8 Ma, Yichen 8 Qu, Fenglong 8 Yan, Wenjing 8 Zhang, Ruming 7 Athanasiadis, Christodoulos E. 7 Chen, Lung-Hui 7 Chesnel, Lucas 7 Harris, Isaac 7 Li, Gongsheng 7 Mantile, Andrea 7 Nguyen, Hoai-Minh 7 Qin, Haihua 7 Sevroglou, Vassilios 6 Audibert, Lorenzo 6 Bellis, Cédric 6 Borcea, Liliana 6 Cheng, Jin 6 Dong, Heping 6 Garde, Henrik 6 Guzina, Bojan B. 6 Hohage, Thorsten 6 Klibanov, Michael V. 6 Lai, Jun 6 Le Louër, Frédérique 6 Liu, Keji 6 Rieder, Andreas 6 Stratis, Ioannis G. 6 Sun, Yao 6 Trong, Dang Duc 6 Viloche Bazán, Fermín S. 6 Xu, Yongzhi S. 6 Yin, Tao 5 Angell, Thomas S. 5 Chandler-Wilde, Simon N. 5 Charalambopoulos, Antonios 5 Cheng, Wei 5 Costabel, Martin 5 Freeden, Willi 5 Guo, Yukun 5 Hanke-Bourgeois, Martin 5 Hyvönen, Nuutti 5 Johansson, B. Tomas 5 Lesnic, Daniel 5 Mederski, Jarosław 5 Mitrea, Marius 5 Nguyen, Loc Hoang 5 Posilicano, Andrea 5 Qian, Zhi 5 Recoquillay, Arnaud 5 Sayas, Francisco-Javier 5 Smirnov, Yury G. 5 Tsupak, Aleksey A. 5 Wang, Haibing 5 Wang, Jenn-Nan 5 Xiao, Jingni ...and 1,280 more Authors
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#### Cited in 226 Serials

 96 Inverse Problems 53 Applicable Analysis 52 Journal of Computational Physics 51 Inverse Problems and Imaging 45 Journal of Computational and Applied Mathematics 44 Mathematical Methods in the Applied Sciences 31 SIAM Journal on Applied Mathematics 29 Computers & Mathematics with Applications 29 Applied Mathematics and Computation 29 Journal of Inverse and Ill-Posed Problems 28 Inverse Problems in Science and Engineering 27 Applied Numerical Mathematics 24 Journal of Mathematical Analysis and Applications 24 Journal of Integral Equations and Applications 23 SIAM Journal on Imaging Sciences 21 SIAM Journal on Mathematical Analysis 15 Computer Methods in Applied Mechanics and Engineering 15 Wave Motion 15 Mathematics and Computers in Simulation 15 Numerische Mathematik 14 Applied Mathematics Letters 14 Journal of Scientific Computing 14 Mathematical Problems in Engineering 13 SIAM Journal on Scientific Computing 12 Journal of Mathematical Physics 12 Journal of Differential Equations 11 Numerical Algorithms 11 Advances in Computational Mathematics 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 Engineering Analysis with Boundary Elements 9 Communications in Partial Differential Equations 8 Applied Mathematical Modelling 8 Computational and Applied Mathematics 7 Applied Mathematics and Optimization 7 Acta Mathematicae Applicatae Sinica. English Series 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Boundary Value Problems 6 Journal of Functional Analysis 6 Quarterly of Applied Mathematics 6 Advances in Mathematical Physics 5 Mathematics of Computation 5 Computing 5 Numerical Functional Analysis and Optimization 5 Transactions of the American Mathematical Society 5 Numerical Methods for Partial Differential Equations 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Communications in Computational Physics 5 Science China. Mathematics 5 Research in the Mathematical Sciences 4 Archive for Rational Mechanics and Analysis 4 BIT 4 Journal of Optimization Theory and Applications 4 SIAM Journal on Numerical Analysis 4 Applied Mathematics and Mechanics. (English Edition) 4 Journal of Elasticity 4 Multiscale Modeling & Simulation 4 Complex Variables and Elliptic Equations 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Communications in Mathematical Physics 3 Journal of Engineering Mathematics 3 Mathematical Biosciences 3 Integral Equations and Operator Theory 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Zeitschrift für Analysis und ihre Anwendungen 3 European Journal of Applied Mathematics 3 International Journal of Computer Mathematics 3 Mathematics and Mechanics of Solids 3 Abstract and Applied Analysis 3 Journal of Inequalities and Applications 3 Annales Henri Poincaré 3 The ANZIAM Journal 3 Journal of Applied Mathematics 3 International Journal of Computational Methods 3 Journal of Computational Acoustics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 GEM - International Journal on Geomathematics 3 SIAM/ASA Journal on Uncertainty Quantification 2 International Journal of Solids and Structures 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Scandinavian Journal of Statistics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Calcolo 2 International Journal for Numerical Methods in Engineering 2 Journal of Approximation Theory 2 Mathematische Annalen 2 Advances in Applied Mathematics 2 Computational Mechanics 2 Science in China. Series A 2 Japan Journal of Industrial and Applied Mathematics 2 Computational Mathematics and Mathematical Physics 2 Linear Algebra and its Applications 2 SIAM Journal on Optimization 2 Computational Optimization and Applications 2 Applied and Computational Harmonic Analysis 2 Discrete and Continuous Dynamical Systems 2 The Journal of Fourier Analysis and Applications 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Fractional Calculus & Applied Analysis ...and 126 more Serials
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#### Cited in 47 Fields

 833 Partial differential equations (35-XX) 552 Numerical analysis (65-XX) 376 Optics, electromagnetic theory (78-XX) 162 Fluid mechanics (76-XX) 138 Mechanics of deformable solids (74-XX) 90 Integral equations (45-XX) 85 Operator theory (47-XX) 69 Calculus of variations and optimal control; optimization (49-XX) 56 Biology and other natural sciences (92-XX) 43 Information and communication theory, circuits (94-XX) 40 Ordinary differential equations (34-XX) 33 Geophysics (86-XX) 32 Statistics (62-XX) 27 Potential theory (31-XX) 20 Quantum theory (81-XX) 20 Operations research, mathematical programming (90-XX) 18 Classical thermodynamics, heat transfer (80-XX) 17 Systems theory; control (93-XX) 16 Global analysis, analysis on manifolds (58-XX) 13 Probability theory and stochastic processes (60-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Functions of a complex variable (30-XX) 10 Functional analysis (46-XX) 8 Computer science (68-XX) 7 Special functions (33-XX) 6 Real functions (26-XX) 6 Approximations and expansions (41-XX) 6 Integral transforms, operational calculus (44-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Combinatorics (05-XX) 3 Geometry (51-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Difference and functional equations (39-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX)