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Author ID: kirsch.andreas Recent zbMATH articles by "Kirsch, Andreas"
Published as: Kirsch, Andreas; Kirsch, A.
all top 5

Serials

28 Inverse Problems
13 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

Publications by Year

Citations contained in zbMATH Open

104 Publications have been cited 2,660 times in 1,683 Documents Cited by Year
An introduction to the mathematical theory of inverse problems. Zbl 0865.35004
Kirsch, Andreas
310
1996
An introduction to the mathematical theory of inverse problems. 2nd ed. Zbl 1213.35004
Kirsch, Andreas
250
2011
The factorization method for inverse problems. Zbl 1222.35001
Kirsch, Andreas; Grinberg, Natalia
230
2008
A simple method for solving inverse scattering problems in the resonance region. Zbl 0859.35133
Colton, David; Kirsch, Andreas
224
1996
Characterization of the shape of a scattering obstacle using the spectral data of the far field operator. Zbl 0919.35147
Kirsch, Andreas
151
1998
The mathematical theory of time-harmonic Maxwell’s equations. Expansion-, integral-, and variational methods. Zbl 1342.35004
Kirsch, Andreas; Hettlich, Frank
100
2015
The domain derivative and two applications in inverse scattering theory. Zbl 0773.35085
Kirsch, A.
89
1993
The MUSIC algorithm and the factorization method in inverse scattering theory for inhomogeneous media. Zbl 1027.35158
Kirsch, Andreas
62
2002
Uniqueness in inverse obstacle scattering. Zbl 0787.35119
Kirsch, Andreas; Kress, Rainer
59
1993
The denseness of the far field patterns for the transmission problem. Zbl 0652.35104
Kirsch, Andreas
53
1986
On the existence of transmission eigenvalues. Zbl 1186.35122
Kirsch, Andreas
48
2009
A linear sampling method for inverse scattering from an open arc. Zbl 0968.35129
Kirsch, Andreas; Ritter, Stefan
44
2000
Diffraction by periodic structures. Zbl 0924.35013
Kirsch, Andreas
43
1993
Far-field patterns for acoustic waves in an inhomogeneous medium. Zbl 0681.76084
Colton, David; Kirsch, Andreas; Päivärinta, Lassi
42
1989
The inside-outside duality for scattering problems by inhomogeneous media. Zbl 1285.35058
Kirsch, Andreas; Lechleiter, Armin
36
2013
Factorization of the far-field operator for the inhomogeneous medium case and an application in inverse scattering theory. Zbl 0926.35162
Kirsch, Andreas
35
1999
The factorization method in inverse elastic scattering from penetrable bodies. Zbl 1111.74024
Charalambopoulos, Antonios; Kirsch, Andreas; Anagnostopoulos, Konstantinos A.; Gintides, Drossos; Kiriaki, Kiriakie
34
2007
The factorization method in inverse scattering from periodic structures. Zbl 1330.35519
Arens, Tilo; Kirsch, Andreas
34
2003
Uniqueness theorems in inverse scattering theory for periodic structures. Zbl 0805.35155
Kirsch, Andreas
31
1994
Some inverse problems arising from elastic scattering by rigid obstacles. Zbl 1334.74047
Hu, Guanghui; Kirsch, Andreas; Sini, Mourad
31
2013
An analysis of the coupling of finite-element and Nyström methods in acoustic scattering. Zbl 0816.65104
Kirsch, A.; Monk, P.
28
1994
Schiffer’s theorem in inverse scattering theory for periodic structures. Zbl 0873.35108
Hettlich, F.; Kirsch, A.
27
1997
Surface gradients and continuity properties for some integral operators in classical scattering theory. Zbl 0692.35073
Kirsch, A.
27
1989
An integral equation approach and the interior transmission problem for Maxwell’s equations. Zbl 1129.35080
Kirsch, Andreas
27
2007
A finite element/spectral method for approximating the time-harmonic Maxwell system in \(\mathbb{R}^ 3\). Zbl 0840.65128
Kirsch, Andreas; Monk, Peter
26
1995
The factorization method for a class of inverse elliptic problems. Zbl 1067.35148
Kirsch, Andreas
25
2005
Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity. Zbl 1416.65164
Kirsch, Andreas; Rieder, Andreas
24
2016
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.
24
2000
The conductive boundary condition for Maxwell’s equations. Zbl 0786.35127
Angell, T. S.; Kirsch, A.
22
1992
The factorization method for Maxwell’s equations. Zbl 1077.78011
Kirsch, Andreas
20
2004
The operator equations of Lippmann-Schwinger type for acoustic and electromagnetic scattering problems in \(L^{2}\). Zbl 1179.78053
Kirsch, A.; Lechleiter, A.
20
2009
On the interior transmission eigenvalue problem. Zbl 1204.78008
Cakoni, Fioralba; Kirsch, Andreas
19
2010
Two methods for solving the inverse acoustic scattering problem. Zbl 0698.65076
Kirsch, Andreas; Kress, Rainer; Monk, P.; Zinn, Axel
19
1988
A method for the numerical solution of the one-dimensional inverse Stefan problem. Zbl 0591.65086
Reemtsen, R.; Kirsch, A.
18
1984
The factorization method for inverse acoustic scattering in a layered medium. Zbl 1273.65167
Bondarenko, Oleksandr; Kirsch, Andreas; Liu, Xiaodong
17
2013
On recovering obstacles inside inhomogeneities. Zbl 0915.35116
Kirsch, Andreas; Päivärinta, Lassi
17
1998
The factorization method for an inverse fluid-solid interaction scattering problem. Zbl 1261.35096
Kirsch, Andreas; Ruiz, Albert
17
2012
An integral equation for Maxwell’s equations in a layered medium with an application to the factorization method. Zbl 1136.78310
Kirsch, Andreas
16
2007
The factorization method for obstacles with a-priori separated sound-soft and sound-hard parts. Zbl 1054.65111
Grinberg, N. I.; Kirsch, A.
16
2004
Simultaneous reconstructions of absorption density and wave speed with photoacoustic measurements. Zbl 1257.35198
Kirsch, Andreas; Scherzer, Otmar
16
2012
Optimization methods in electromagnetic radiation. Zbl 1037.78001
Angell, Thomas S.; Kirsch, Andreas
15
2004
On the linearization of operators related to the full waveform inversion in seismology. Zbl 1319.35300
Kirsch, Andreas; Rieder, Andreas
14
2014
A modification of the factorization method for the classical acoustic inverse scattering problems. Zbl 1291.35223
Kirsch, Andreas; Liu, Xiaodong
14
2014
Direct and inverse acoustic scattering by a mixed-type scatterer. Zbl 1273.76380
Kirsch, Andreas; Liu, Xiaodong
14
2013
The limiting absorption principle and a radiation condition for the scattering by a periodic layer. Zbl 1454.35246
Kirsch, Andreas; Lechleiter, Armin
13
2018
Dense sets and far field patterns in acoustic wave propagation. Zbl 0572.76074
Colton, David; Kirsch, Andreas
13
1984
An introduction to the mathematical theory of inverse problems. 3rd updated edition. Zbl 1456.35001
Kirsch, Andreas
13
2021
Convergence analysis of a coupled finite element and spectral method in acoustic scattering. Zbl 0712.65095
Kirsch, A.; Monk, P.
12
1990
The three dimensional inverse scattering problem for acoustic waves. Zbl 0496.65069
Angell, T. S.; Colton, David; Kirsch, Andreas
12
1982
The determination of the surface impedance of an obstacle from measurements of the far field pattern. Zbl 0464.35077
Colton, David; Kirsch, Andreas
11
1981
On an integral equation of the first kind in inverse acoustic scattering. Zbl 0607.65089
Kirsch, Andreas; Kress, Rainer
11
1986
New characterizations of solutions in inverse scattering theory. Zbl 1028.35167
Kirsch, Andreas
11
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
11
1999
A sampling method for detecting buried objects using electromagnetic scattering. Zbl 1112.78013
Gebauer, Bastian; Hanke, Martin; Kirsch, Andreas; Muniz, Wagner; Schneider, Christoph
10
2005
Notwendige Optimalitätsbedingungen und ihre Anwendung. Zbl 0375.49001
Kirsch, Andreas; Warth, Wolfgang; Werner, Jochen
10
1978
A radiation condition arising from the limiting absorption principle for a closed full- or half-waveguide problem. Zbl 1406.35108
Kirsch, Andreas; Lechleiter, Armin
10
2018
Factorization method in inverse interaction problems with bi-periodic interfaces between acoustic and elastic waves. Zbl 1332.74033
Hu, Guanghui; Kirsch, Andreas; Yin, Tao
8
2016
Properties of far-field operators in acoustic scattering. Zbl 0692.35072
Kirsch, A.
8
1989
The factorization method for inverse acoustic scattering by a penetrable anisotropic obstacle. Zbl 1290.35331
Kirsch, Andreas; Liu, Xiaodong
8
2014
A numerical method for an inverse scattering problem. Zbl 0629.65132
Kirsch, Andreas; Kress, Rainer
8
1987
The Robin problem for the Helmholtz equation as a singular perturbation problem. Zbl 0622.65107
Kirsch, Andreas
8
1985
The linear sampling method in inverse obstacle scattering for impedance boundary conditions. Zbl 0999.35108
Grinberg, N.; Kirsch, A.
8
2002
Optimization of rod antennas of mobile phones. Zbl 1083.90026
Jahn, Johannes; Kirsch, Andreas; Wagner, Carmen
8
2004
Sampling methods. Zbl 1259.35222
Hanke, Martin; Kirsch, Andreas
8
2011
The factorization method for inverse scattering by a penetrable anisotropic obstacle with conductive boundary condition. Zbl 1356.78081
Bondarenko, Oleksandr; Kirsch, Andreas
7
2016
Über Zerlegungsgleichheit von Funktionen und Integration in abstrakten Räumen. Zbl 0047.29201
Kirsch, A.
7
1952
Remarks on the Born approximation and the factorization method. Zbl 1364.35222
Kirsch, Andreas
7
2017
Scattering by a periodic tube in \(\mathbb{R}^3\): I: The limiting absorption principle. Zbl 1461.35177
Kirsch, Andreas
6
2019
Inverse problems for abstract evolution equations. II: Higher order differentiability for viscoelasticity. Zbl 1427.35361
Kirsch, Andreas; Rieder, Andreas
6
2019
A bicriterial optimization problem of antenna design. Zbl 0872.90112
Jüschke, Arno; Jahn, Johannes; Kirsch, Andreas
6
1997
Stable methods for solving the inverse scattering problem for a cylinder. Zbl 0474.35084
Colton, David; Kirsch, Andreas
6
1981
The factorization method for a conductive boundary condition. Zbl 1263.78013
Kirsch, Andreas; Kleefeld, Andreas
6
2012
Scattering by a periodic tube in \(\mathbb{R}^3\). II: A radiation condition. Zbl 1426.78016
Kirsch, Andreas
5
2019
Sampling methods. 2nd edition. Zbl 1331.35385
Hanke-Bourgeois, Martin; Kirsch, Andreas
5
2015
Zerlegungsinvarianz des Integrals und absolute Integrierbarkeit. Zbl 0047.29202
Hadwiger, Hugo; Kirsch, A.
5
1952
On the necessary conditions for optimal control of retarded systems. Zbl 0717.49019
Angell, T. S.; Kirsch, A.
5
1990
A finite element method for approximating electromagnetic scattering from a conducting object. Zbl 1004.78007
Kirsch, Andreas; Monk, Peter
5
2002
The definition and measurement of electromagnetic chirality. Zbl 1387.35565
Arens, Tilo; Hagemann, Felix; Hettlich, Frank; Kirsch, Andreas
5
2018
The factorization method for an acoustic wave guide. Zbl 1106.76060
Charalambopoulos, Antonios; Gintides, Drossos; Kiriaki, Kiriakie; Kirsch, Andreas
4
2006
The Backus-Gilbert method. Zbl 0695.65075
Kirsch, A.; Schomburg, B.; Berendt, G.
4
1988
Karp’s theorem in acoustic scattering theory. Zbl 0699.35256
Colton, David; Kirsch, Andreas
4
1988
Inverse scattering theory for time-harmonic waves. Zbl 1051.78014
Kirsch, Andreas
4
2003
An integral equation for the scattering problem for an anisotropic medium and the factorization method. Zbl 1425.65134
Kirsch, Andreas
4
2008
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
4
2016
Seismic tomography is locally ill-posed. Zbl 1308.86007
Kirsch, Andreas; Rieder, Andreas
3
2014
An inverse scattering problem for periodic structures. Zbl 0840.35121
Kirsch, A.
3
1995
An approximation problem in inverse scattering theory. Zbl 0798.35155
Colton, David; Kirsch, Andreas
3
1991
A weak bang-bang principle for the control of an exterior Robin problem. Zbl 0452.49018
Kirsch, Andreas
3
1982
A factorization scheme for determining conductivity contrasts in impedance tomography. Zbl 1251.94008
Schmitt, Susanne; Kirsch, Andreas
3
2011
Multicriteria optimization in antenna design. Zbl 0758.90081
Angell, T. S.; Kirsch, A.
3
1992
Optimal control of an exterior Robin problem. Zbl 0466.49003
Kirsch, Andreas
3
1981
A scattering problem for a local perturbation of an open periodic waveguide. Zbl 1529.35154
Kirsch, Andreas
3
2022
Continuous perturbations of infinite optimization problems. Zbl 0417.49037
Kirsch, A.
2
1980
Remarks on some notions of weak solutions for the Helmholtz equation. Zbl 0727.35027
Kirsch, Andreas
2
1992
The linear sampling method in inverse scattering theory. Zbl 0968.35132
Colton, David; Kirsch, Andreas; Monk, Peter
2
2000
Inverse problems for partial differential equations. Abstracts from the workshop held February 19–25, 2012. Zbl 1349.00181
1
2012
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
1
2015
Corrigendum to: “Seismic tomography is locally ill-posed”. Zbl 1330.86013
Kirsch, A.; Rieder, A.
1
2015
Zur Störung von Optimierungsaufgaben unter besonderer Berücksichtigung von optimalen Steuerungsproblemen. Zbl 0428.49022
Kirsch, Andreas
1
1978
Some optimal control problems in antenna theory. Zbl 0602.49003
Kirsch, Andreas
1
1986
On the scattering of a plane wave by a perturbed open periodic waveguide. Zbl 1530.35167
Kirsch, Andreas
1
2023
A scattering problem for a local perturbation of an open periodic waveguide. Zbl 1529.35154
Kirsch, Andreas
3
2022
An introduction to the mathematical theory of inverse problems. 3rd updated edition. Zbl 1456.35001
Kirsch, Andreas
13
2021
Scattering by a periodic tube in \(\mathbb{R}^3\): I: The limiting absorption principle. Zbl 1461.35177
Kirsch, Andreas
6
2019
Inverse problems for abstract evolution equations. II: Higher order differentiability for viscoelasticity. Zbl 1427.35361
Kirsch, Andreas; Rieder, Andreas
6
2019
Scattering by a periodic tube in \(\mathbb{R}^3\). II: A radiation condition. Zbl 1426.78016
Kirsch, Andreas
5
2019
The limiting absorption principle and a radiation condition for the scattering by a periodic layer. Zbl 1454.35246
Kirsch, Andreas; Lechleiter, Armin
13
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
10
2018
The definition and measurement of electromagnetic chirality. Zbl 1387.35565
Arens, Tilo; Hagemann, Felix; Hettlich, Frank; Kirsch, Andreas
5
2018
Remarks on the Born approximation and the factorization method. Zbl 1364.35222
Kirsch, Andreas
7
2017
Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity. Zbl 1416.65164
Kirsch, Andreas; Rieder, Andreas
24
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
8
2016
The factorization method for inverse scattering by a penetrable anisotropic obstacle with conductive boundary condition. Zbl 1356.78081
Bondarenko, Oleksandr; Kirsch, Andreas
7
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
4
2016
The mathematical theory of time-harmonic Maxwell’s equations. Expansion-, integral-, and variational methods. Zbl 1342.35004
Kirsch, Andreas; Hettlich, Frank
100
2015
Sampling methods. 2nd edition. Zbl 1331.35385
Hanke-Bourgeois, Martin; Kirsch, Andreas
5
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
1
2015
Corrigendum to: “Seismic tomography is locally ill-posed”. Zbl 1330.86013
Kirsch, A.; Rieder, A.
1
2015
On the linearization of operators related to the full waveform inversion in seismology. Zbl 1319.35300
Kirsch, Andreas; Rieder, Andreas
14
2014
A modification of the factorization method for the classical acoustic inverse scattering problems. Zbl 1291.35223
Kirsch, Andreas; Liu, Xiaodong
14
2014
The factorization method for inverse acoustic scattering by a penetrable anisotropic obstacle. Zbl 1290.35331
Kirsch, Andreas; Liu, Xiaodong
8
2014
Seismic tomography is locally ill-posed. Zbl 1308.86007
Kirsch, Andreas; Rieder, Andreas
3
2014
The inside-outside duality for scattering problems by inhomogeneous media. Zbl 1285.35058
Kirsch, Andreas; Lechleiter, Armin
36
2013
Some inverse problems arising from elastic scattering by rigid obstacles. Zbl 1334.74047
Hu, Guanghui; Kirsch, Andreas; Sini, Mourad
31
2013
The factorization method for inverse acoustic scattering in a layered medium. Zbl 1273.65167
Bondarenko, Oleksandr; Kirsch, Andreas; Liu, Xiaodong
17
2013
Direct and inverse acoustic scattering by a mixed-type scatterer. Zbl 1273.76380
Kirsch, Andreas; Liu, Xiaodong
14
2013
The factorization method for an inverse fluid-solid interaction scattering problem. Zbl 1261.35096
Kirsch, Andreas; Ruiz, Albert
17
2012
Simultaneous reconstructions of absorption density and wave speed with photoacoustic measurements. Zbl 1257.35198
Kirsch, Andreas; Scherzer, Otmar
16
2012
The factorization method for a conductive boundary condition. Zbl 1263.78013
Kirsch, Andreas; Kleefeld, Andreas
6
2012
Inverse problems for partial differential equations. Abstracts from the workshop held February 19–25, 2012. Zbl 1349.00181
1
2012
An introduction to the mathematical theory of inverse problems. 2nd ed. Zbl 1213.35004
Kirsch, Andreas
250
2011
Sampling methods. Zbl 1259.35222
Hanke, Martin; Kirsch, Andreas
8
2011
A factorization scheme for determining conductivity contrasts in impedance tomography. Zbl 1251.94008
Schmitt, Susanne; Kirsch, Andreas
3
2011
On the interior transmission eigenvalue problem. Zbl 1204.78008
Cakoni, Fioralba; Kirsch, Andreas
19
2010
On the existence of transmission eigenvalues. Zbl 1186.35122
Kirsch, Andreas
48
2009
The operator equations of Lippmann-Schwinger type for acoustic and electromagnetic scattering problems in \(L^{2}\). Zbl 1179.78053
Kirsch, A.; Lechleiter, A.
20
2009
The factorization method for inverse problems. Zbl 1222.35001
Kirsch, Andreas; Grinberg, Natalia
230
2008
An integral equation for the scattering problem for an anisotropic medium and the factorization method. Zbl 1425.65134
Kirsch, Andreas
4
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
34
2007
An integral equation approach and the interior transmission problem for Maxwell’s equations. Zbl 1129.35080
Kirsch, Andreas
27
2007
An integral equation for Maxwell’s equations in a layered medium with an application to the factorization method. Zbl 1136.78310
Kirsch, Andreas
16
2007
The factorization method for an acoustic wave guide. Zbl 1106.76060
Charalambopoulos, Antonios; Gintides, Drossos; Kiriaki, Kiriakie; Kirsch, Andreas
4
2006
The factorization method for a class of inverse elliptic problems. Zbl 1067.35148
Kirsch, Andreas
25
2005
A sampling method for detecting buried objects using electromagnetic scattering. Zbl 1112.78013
Gebauer, Bastian; Hanke, Martin; Kirsch, Andreas; Muniz, Wagner; Schneider, Christoph
10
2005
The factorization method for Maxwell’s equations. Zbl 1077.78011
Kirsch, Andreas
20
2004
The factorization method for obstacles with a-priori separated sound-soft and sound-hard parts. Zbl 1054.65111
Grinberg, N. I.; Kirsch, A.
16
2004
Optimization methods in electromagnetic radiation. Zbl 1037.78001
Angell, Thomas S.; Kirsch, Andreas
15
2004
Optimization of rod antennas of mobile phones. Zbl 1083.90026
Jahn, Johannes; Kirsch, Andreas; Wagner, Carmen
8
2004
The factorization method in inverse scattering from periodic structures. Zbl 1330.35519
Arens, Tilo; Kirsch, Andreas
34
2003
Inverse scattering theory for time-harmonic waves. Zbl 1051.78014
Kirsch, Andreas
4
2003
The MUSIC algorithm and the factorization method in inverse scattering theory for inhomogeneous media. Zbl 1027.35158
Kirsch, Andreas
62
2002
The linear sampling method in inverse obstacle scattering for impedance boundary conditions. Zbl 0999.35108
Grinberg, N.; Kirsch, A.
8
2002
A finite element method for approximating electromagnetic scattering from a conducting object. Zbl 1004.78007
Kirsch, Andreas; Monk, Peter
5
2002
A linear sampling method for inverse scattering from an open arc. Zbl 0968.35129
Kirsch, Andreas; Ritter, Stefan
44
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.
24
2000
New characterizations of solutions in inverse scattering theory. Zbl 1028.35167
Kirsch, Andreas
11
2000
The linear sampling method in inverse scattering theory. Zbl 0968.35132
Colton, David; Kirsch, Andreas; Monk, Peter
2
2000
Factorization of the far-field operator for the inhomogeneous medium case and an application in inverse scattering theory. Zbl 0926.35162
Kirsch, Andreas
35
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
11
1999
Characterization of the shape of a scattering obstacle using the spectral data of the far field operator. Zbl 0919.35147
Kirsch, Andreas
151
1998
On recovering obstacles inside inhomogeneities. Zbl 0915.35116
Kirsch, Andreas; Päivärinta, Lassi
17
1998
Schiffer’s theorem in inverse scattering theory for periodic structures. Zbl 0873.35108
Hettlich, F.; Kirsch, A.
27
1997
A bicriterial optimization problem of antenna design. Zbl 0872.90112
Jüschke, Arno; Jahn, Johannes; Kirsch, Andreas
6
1997
An introduction to the mathematical theory of inverse problems. Zbl 0865.35004
Kirsch, Andreas
310
1996
A simple method for solving inverse scattering problems in the resonance region. Zbl 0859.35133
Colton, David; Kirsch, Andreas
224
1996
A finite element/spectral method for approximating the time-harmonic Maxwell system in \(\mathbb{R}^ 3\). Zbl 0840.65128
Kirsch, Andreas; Monk, Peter
26
1995
An inverse scattering problem for periodic structures. Zbl 0840.35121
Kirsch, A.
3
1995
Uniqueness theorems in inverse scattering theory for periodic structures. Zbl 0805.35155
Kirsch, Andreas
31
1994
An analysis of the coupling of finite-element and Nyström methods in acoustic scattering. Zbl 0816.65104
Kirsch, A.; Monk, P.
28
1994
Target signatures for imperfectly conducting obstacles at fixed frequency. Zbl 0808.35149
Colton, David; Kirsch, Andreas
1
1994
The domain derivative and two applications in inverse scattering theory. Zbl 0773.35085
Kirsch, A.
89
1993
Uniqueness in inverse obstacle scattering. Zbl 0787.35119
Kirsch, Andreas; Kress, Rainer
59
1993
Diffraction by periodic structures. Zbl 0924.35013
Kirsch, Andreas
43
1993
Numerical algorithms in inverse scattering theory. Zbl 0787.65092
Kirsch, A.
1
1993
The conductive boundary condition for Maxwell’s equations. Zbl 0786.35127
Angell, T. S.; Kirsch, A.
22
1992
Multicriteria optimization in antenna design. Zbl 0758.90081
Angell, T. S.; Kirsch, A.
3
1992
Remarks on some notions of weak solutions for the Helmholtz equation. Zbl 0727.35027
Kirsch, Andreas
2
1992
An approximation problem in inverse scattering theory. Zbl 0798.35155
Colton, David; Kirsch, Andreas
3
1991
Convergence analysis of a coupled finite element and spectral method in acoustic scattering. Zbl 0712.65095
Kirsch, A.; Monk, P.
12
1990
On the necessary conditions for optimal control of retarded systems. Zbl 0717.49019
Angell, T. S.; Kirsch, A.
5
1990
Far-field patterns for acoustic waves in an inhomogeneous medium. Zbl 0681.76084
Colton, David; Kirsch, Andreas; Päivärinta, Lassi
42
1989
Surface gradients and continuity properties for some integral operators in classical scattering theory. Zbl 0692.35073
Kirsch, A.
27
1989
Properties of far-field operators in acoustic scattering. Zbl 0692.35072
Kirsch, A.
8
1989
Two methods for solving the inverse acoustic scattering problem. Zbl 0698.65076
Kirsch, Andreas; Kress, Rainer; Monk, P.; Zinn, Axel
19
1988
The Backus-Gilbert method. Zbl 0695.65075
Kirsch, A.; Schomburg, B.; Berendt, G.
4
1988
Karp’s theorem in acoustic scattering theory. Zbl 0699.35256
Colton, David; Kirsch, Andreas
4
1988
A numerical method for an inverse scattering problem. Zbl 0629.65132
Kirsch, Andreas; Kress, Rainer
8
1987
The denseness of the far field patterns for the transmission problem. Zbl 0652.35104
Kirsch, Andreas
53
1986
On an integral equation of the first kind in inverse acoustic scattering. Zbl 0607.65089
Kirsch, Andreas; Kress, Rainer
11
1986
Some optimal control problems in antenna theory. Zbl 0602.49003
Kirsch, Andreas
1
1986
The Robin problem for the Helmholtz equation as a singular perturbation problem. Zbl 0622.65107
Kirsch, Andreas
8
1985
A method for the numerical solution of the one-dimensional inverse Stefan problem. Zbl 0591.65086
Reemtsen, R.; Kirsch, A.
18
1984
Dense sets and far field patterns in acoustic wave propagation. Zbl 0572.76074
Colton, David; Kirsch, Andreas
13
1984
Some remarks concerning the computation of bang-bang controls. Zbl 0564.49019
Kirsch, A.
1
1984
The three dimensional inverse scattering problem for acoustic waves. Zbl 0496.65069
Angell, T. S.; Colton, David; Kirsch, Andreas
12
1982
A weak bang-bang principle for the control of an exterior Robin problem. Zbl 0452.49018
Kirsch, Andreas
3
1982
The determination of the surface impedance of an obstacle from measurements of the far field pattern. Zbl 0464.35077
Colton, David; Kirsch, Andreas
11
1981
Stable methods for solving the inverse scattering problem for a cylinder. Zbl 0474.35084
Colton, David; Kirsch, Andreas
6
1981
Optimal control of an exterior Robin problem. Zbl 0466.49003
Kirsch, Andreas
3
1981
Continuous perturbations of infinite optimization problems. Zbl 0417.49037
Kirsch, A.
2
1980
...and 4 more Documents
all top 5

Cited by 1,862 Authors

41 Hu, Guanghui
39 Haddar, Houssem
38 Cakoni, Fioralba
37 Liu, Hongyu
37 Yan, Guozheng
29 Zhang, Bo
27 Colton, David Lem
24 Kirsch, Andreas
23 Li, Peijun
23 Nguyen, Dinh Liem
21 Kress, Rainer
20 Harris, Isaac
19 Kleefeld, Andreas
19 Lechleiter, Armin
19 Yang, Jiaqing
18 Fu, Chuli
18 Liu, Xiaodong
18 Park, Won-Kwang
18 Yang, Fan
17 Griesmaier, Roland
16 Nguyen Huy Tuan
15 Guo, Jun
15 Monk, Peter B.
15 Pelekanos, George
15 Qu, Fenglong
15 Sini, Mourad
14 Kaltenbacher, Barbara
14 Li, Xiaoxiao
14 Liu, Jijun
14 Ma, Fuming
14 Potthast, Roland W. E.
14 Rapún, María-Luisa
14 Zhang, Haiwen
14 Zhang, Ruming
13 Long, Le Dinh
13 Sun, Jiguang
13 Zou, Jun
12 Arens, Tilo
12 Bao, Gang
12 Harrach, Bastian
12 Ji, Xia
11 Leem, Koung Hee
11 Li, Jingzhi
11 Viloche Bazán, Fermín S.
10 Ammari, Habib
10 Bourgeois, Laurent
10 Luc, Nguyen Hoang
10 Meng, Shixu
10 Nakamura, Gen
10 Qin, Haihua
10 Sun, Yao
9 Athanasiadis, Christodoulos E.
9 Bonnet, Marc
9 Can, Nguyen Huu
9 Dong, Heping
9 Elschner, Johannes
9 Nguyen, Hoai-Minh
9 Rieder, Andreas
9 Wei, Ting
9 Xiang, Jianli
8 Chapko, Roman
8 Chen, Lung-Hui
8 Guo, Yukun
8 Lai, Jun
8 Le Louër, Frédérique
8 Li, Gongsheng
8 Ma, Yichen
8 Mantile, Andrea
8 Qian, Zhi
8 Rashedi, Kamal
8 Wang, Jenn-Nan
8 Yan, Wenjing
8 Zhang, Lei
7 Audibert, Lorenzo
7 Borcea, Liliana
7 Cheng, Jin
7 Cheng, Wei
7 Chesnel, Lucas
7 Cui, Yanli
7 Hettlich, Frank
7 Hohage, Thorsten
7 Hyvönen, Nuutti
7 Klibanov, Michael V.
7 Li, Jianliang
7 Liu, Jun
7 Liu, Keji
7 Sakly, Hamdi
7 Sevroglou, Vassilios
7 Stratis, Ioannis G.
7 Trong, Dang Duc
7 Wang, Haibing
7 Wang, Zewen
7 Xiao, Jingni
6 An, Jing
6 Băleanu, Dumitru I.
6 Bellis, Cédric
6 Boumenir, Amin A.
6 Costabel, Martin
6 Deng, Zhiliang
6 Diao, Huaian
...and 1,762 more Authors
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Cited in 270 Serials

134 Inverse Problems
82 Mathematical Methods in the Applied Sciences
74 Inverse Problems and Imaging
73 Journal of Computational Physics
68 Applicable Analysis
57 Journal of Computational and Applied Mathematics
43 Journal of Inverse and Ill-Posed Problems
41 SIAM Journal on Applied Mathematics
39 Inverse Problems in Science and Engineering
37 Computers & Mathematics with Applications
35 Applied Mathematics and Computation
34 SIAM Journal on Imaging Sciences
31 Applied Numerical Mathematics
30 Journal of Mathematical Analysis and Applications
28 SIAM Journal on Mathematical Analysis
25 Journal of Integral Equations and Applications
22 Journal of Scientific Computing
18 Wave Motion
18 Numerische Mathematik
18 SIAM Journal on Scientific Computing
17 Computer Methods in Applied Mechanics and Engineering
17 Journal of Differential Equations
17 Mathematics and Computers in Simulation
17 Applied Mathematical Modelling
15 Applied Mathematics Letters
15 Advances in Computational Mathematics
15 Engineering Analysis with Boundary Elements
15 Mathematical Problems in Engineering
13 Numerical Algorithms
12 Journal of Mathematical Physics
12 Computational and Applied Mathematics
12 Advances in Difference Equations
11 Boundary Value Problems
10 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 SIAM Journal on Numerical Analysis
9 Communications in Partial Differential Equations
9 International Journal of Computer Mathematics
8 Applied Mathematics and Optimization
8 Numerical Methods for Partial Differential Equations
7 Journal of Functional Analysis
7 Acta Mathematicae Applicatae Sinica. English Series
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Multiscale Modeling & Simulation
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Complex Variables and Elliptic Equations
7 Communications in Computational Physics
6 Archive for Rational Mechanics and Analysis
6 Mathematics of Computation
6 International Journal for Numerical Methods in Engineering
6 Quarterly of Applied Mathematics
6 Transactions of the American Mathematical Society
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 Acta Mathematica Scientia. Series B. (English Edition)
6 Journal of Applied Mathematics and Computing
6 Advances in Mathematical Physics
5 Computing
5 Integral Equations and Operator Theory
5 Numerical Functional Analysis and Optimization
5 Computational Methods in Applied Mathematics
5 Science China. Mathematics
5 Research in the Mathematical Sciences
5 Electronic Research Archive
5 SN Partial Differential Equations and Applications
4 Journal of Engineering Mathematics
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 BIT
4 Journal of Optimization Theory and Applications
4 Applied Mathematics and Mechanics. (English Edition)
4 Journal of Computational Mathematics
4 Journal of Elasticity
4 Journal of Inequalities and Applications
4 International Journal of Computational Methods
4 Analysis & PDE
4 Advances in Applied Mathematics and Mechanics
4 SIAM/ASA Journal on Uncertainty Quantification
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Communications in Mathematical Physics
3 Communications on Pure and Applied Mathematics
3 Mathematical Biosciences
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 Computational Mechanics
3 Asymptotic Analysis
3 European Journal of Applied Mathematics
3 SIAM Journal on Optimization
3 Cybernetics and Systems Analysis
3 Computational Optimization and Applications
3 Applied and Computational Harmonic Analysis
3 Journal of Mathematical Sciences (New York)
3 ETNA. Electronic Transactions on Numerical Analysis
3 Mathematics and Mechanics of Solids
3 Abstract and Applied Analysis
3 Communications in Nonlinear Science and Numerical Simulation
3 Annales Henri Poincaré
3 The ANZIAM Journal
3 Mathematical Modelling and Analysis
3 Journal of Applied Mathematics
3 Journal of Computational Acoustics
3 Discrete and Continuous Dynamical Systems. Series S
...and 170 more Serials
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Cited in 49 Fields

1,180 Partial differential equations (35-XX)
781 Numerical analysis (65-XX)
510 Optics, electromagnetic theory (78-XX)
184 Fluid mechanics (76-XX)
179 Mechanics of deformable solids (74-XX)
127 Integral equations (45-XX)
125 Operator theory (47-XX)
81 Calculus of variations and optimal control; optimization (49-XX)
66 Biology and other natural sciences (92-XX)
56 Statistics (62-XX)
50 Information and communication theory, circuits (94-XX)
44 Ordinary differential equations (34-XX)
40 Potential theory (31-XX)
39 Geophysics (86-XX)
31 Operations research, mathematical programming (90-XX)
28 Systems theory; control (93-XX)
27 Real functions (26-XX)
25 Classical thermodynamics, heat transfer (80-XX)
25 Quantum theory (81-XX)
20 Global analysis, analysis on manifolds (58-XX)
20 Computer science (68-XX)
18 Probability theory and stochastic processes (60-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
12 Functions of a complex variable (30-XX)
12 Special functions (33-XX)
12 Functional analysis (46-XX)
10 Integral transforms, operational calculus (44-XX)
9 Approximations and expansions (41-XX)
9 Statistical mechanics, structure of matter (82-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Combinatorics (05-XX)
3 History and biography (01-XX)
3 Measure and integration (28-XX)
3 Geometry (51-XX)
2 General and overarching topics; collections (00-XX)
2 Difference and functional equations (39-XX)
2 Mechanics of particles and systems (70-XX)
1 Number theory (11-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Abstract harmonic analysis (43-XX)
1 Differential geometry (53-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

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