Andreas Kirsch
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Andreas Kirschmathematics Degrees
Mathematics
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Measure Theory
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Mathematics
Why Is Andreas Kirsch Influential?
(Suggest an Edit or Addition)Andreas Kirsch's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- An Introduction to the Mathematical Theory of Inverse Problems (1996) (1116)
- A simple method for solving inverse scattering problems in the resonance region (1996) (766)
- The Factorization Method for Inverse Problems (2007) (579)
- Characterization of the shape of a scattering obstacle using the spectral data of the far field operator (1998) (530)
- The domain derivative and two applications in inverse scattering theory (1993) (274)
- The MUSIC-algorithm and the factorization method in inverse scattering theory for inhomogeneous media (2002) (263)
- Uniqueness in inverse obstacle scattering (acoustics) (1993) (178)
- Factorization of the far-field operator for the inhomogeneous medium case and an application in inverse scattering theory (1999) (160)
- The Mathematical Theory of Time-Harmonic Maxwell's Equations: Expansion-, Integral-, and Variational Methods (2014) (139)
- A linear sampling method for inverse scattering from an open arc Inverse Problems (2000) (133)
- Two methods for solving the inverse acoustic scattering problem (1988) (132)
- The Denseness of the Far Field Patterns for the Transmission Problem (1986) (122)
- On the existence of transmission eigenvalues (2009) (114)
- Diffraction by periodic structures (1993) (110)
- Dense sets and far field patterns for acoustic waves in an inhomogeneous medium (1988) (102)
- On the interior transmission eigenvalue problem (2010) (100)
- The factorization method for Maxwell's equations (2004) (90)
- The factorization method in inverse scattering from periodic structures (2003) (86)
- The factorization method for a class of inverse elliptic problems (2005) (84)
- Uniqueness theorems in inverse scattering theory for periodic structures (1994) (78)
- The conductive boundary condition for Maxwell's equations (1992) (76)
- An analysis of the coupling of finite-element and Nyström methods in acoustic scattering (1994) (72)
- Surface gradients and continuity properties for some integral operators in classical scattering theory (1989) (71)
- A Nyström Method for a Class of Integral Equations on the Real Line with Applications to Scattering by Diffraction Gratings and Rough Surfaces (2000) (68)
- A NUMERICAL METHOD FOR AN INVERSE SCATTERING PROBLEM (1987) (63)
- The factorization method in inverse elastic scattering from penetrable bodies (2007) (61)
- On an Integral Equation of the first Kind in Inverse Acoustic Scattering (1986) (58)
- Optimization methods in electromagnetic radiation (2004) (57)
- SCHIFFER'S THEOREM IN INVERSE SCATTERING THEORY FOR PERIODIC STRUCTURES (1997) (56)
- A Finite Element/Spectral Method for Approximating the Time-Harmonic Maxwell System in ℝ3 (1995) (55)
- The inside–outside duality for scattering problems by inhomogeneous media (2013) (54)
- New characterizations of solutions in inverse scattering theory (2000) (54)
- Some inverse problems arising from elastic scattering by rigid obstacles (2012) (50)
- A sampling method for detecting buried objects using electromagnetic scattering (2005) (50)
- On recovering obstacles inside inhomogeneities (1998) (49)
- An integral equation approach and the interior transmission problem for Maxwell's equations (2007) (49)
- The three dimensional inverse scattering problem for acoustic waves (1982) (46)
- Dense Sets and Far Field Patterns in Acoustic Wave Propagation (1984) (40)
- Convergence analysis of a coupled finite element and spectral method in acoustic scattering (1990) (40)
- Simultaneous Reconstructions of Absorption Density and Wave Speed with Photoacoustic Measurements (2011) (38)
- The factorization method for obstacles with a-priori separated sound-soft and sound-hard parts (2004) (36)
- Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity (2016) (36)
- The linear sampling method in inverse obstacle scattering for impedance boundary conditions (2002) (35)
- Properties of far‐field operators in acoustic scattering (1989) (35)
- A method for the numerical solution of the one-dimensional inverse Stefan problem (1984) (33)
- An Integral Equation for Maxwell's Equations if a Layered Medium with an Application to the Factorization Method (2007) (31)
- The factorization method for inverse acoustic scattering in a layered medium (2013) (31)
- The Backus-Gilbert method (1988) (28)
- A modification of the factorization method for the classical acoustic inverse scattering problems (2014) (26)
- THE DETERMINATION OF THE SURFACE IMPEDANCE OF AN OBSTACLE FROM MEASUREMENTS OF THE FAR FIELD PATTERN (1981) (26)
- A Bicriterial Optimization Problem of Antenna Design (1997) (26)
- The Factorization Method for an inverse fluid-solid interaction scattering problem (2012) (25)
- Antenna control and optimization (1991) (24)
- Integral methods in science and engineering : theoretical and computational advances (2015) (24)
- On the linearization of operators related to the full waveform inversion in seismology (2014) (23)
- Remarks on some notions of weak solutions for the Helmholtz equation (1992) (23)
- Karp’s theorem in acoustic scattering theory (1988) (22)
- Direct and inverse acoustic scattering by a mixed-type scatterer (2013) (22)
- The factorization method for inverse acoustic scattering by a penetrable anisotropic obstacle (2014) (21)
- A finite element method for approximating electromagnetic scattering from a conducting object (2002) (20)
- Three-dimensional earth conductivity inversion (1992) (18)
- AN INTEGRAL EQUATION FOR THE SCATTERING PROBLEM FOR AN ANISOTROPIC MEDIUM AND THE FACTORIZATION METHOD (2008) (17)
- The Limiting Absorption Principle and a Radiation Condition for the Scattering by a Periodic Layer (2018) (17)
- The Linear Sampling Method in Inverse Scattering Theory (2000) (15)
- Lymphadenopathy and diarrhea in a Miniature Schnauzer. (2002) (15)
- A radiation condition arising from the limiting absorption principle for a closed full‐ or half‐waveguide problem (2018) (15)
- An approximation problem in inverse scattering theory (1991) (14)
- The factorization method for inverse scattering by a penetrable anisotropic obstacle with conductive boundary condition (2016) (14)
- A factorization scheme for determining conductivity contrasts in impedance tomography (2011) (14)
- The factorization method for a conductive boundary condition (2012) (13)
- Factorization method in inverse interaction problems with bi-periodic interfaces between acoustic and elastic waves (2016) (13)
- Corrigendum: A Finite Element/Spectral Method for Approximating the Time-Harmonic Maxwell System in ℝ3 (1998) (13)
- The use of polarization effects in electromagnetic inverse scattering problems (1992) (12)
- The Robin problem for the Helmholtz equation as a singular perturbation problem (1985) (12)
- The Nyström method for solving a class of singular integral equations and applications in 3D-plate elasticity (1999) (10)
- The optimization of directivity and signal‐to‐noise ratio of an arbitrary antenna array (1988) (10)
- Stable methods for solving the inverse scattering problem for a cylinder (1981) (10)
- Inverse Problems for Abstract Evolution Equations II: Higher Order Differentiability for Viscoelasticity (2019) (9)
- THE FACTORIZATION METHOD FOR AN ACOUSTIC WAVE GUIDE (2006) (9)
- Optimal control of an exterior Robin problem (1981) (9)
- The definition and measurement of electromagnetic chirality (2017) (9)
- Optimization of rod antennas of mobile phones (2004) (8)
- Remarks on the Born approximation and the Factorization Method (2017) (8)
- Multicriteria optimization in antenna design (1992) (7)
- Seismic tomography is locally ill-posed (2014) (7)
- A note on Sylvester's proof of discreteness of interior transmission eigenvalues (2016) (7)
- Inverse Scattering Theory for Time-Harmonic Waves (2003) (6)
- Scattering by a periodic tube in R3: part i. The limiting absorption principle (2019) (6)
- An Inverse Scattering Problem (2021) (5)
- Scattering by a periodic tube in R3: part ii. A radiation condition (2019) (5)
- Continuous perturbations of infinite optimization problems (1980) (5)
- Scattering by a periodic tube in $ \newcommand{\real}{\mathbb{R}} \newcommand{\re}{{\rm Re}} \mathbf{\real^3}$ : part i. The limiting absorption principle (2019) (4)
- Regularization by Discretization (2021) (3)
- Scattering by a periodic tube in $ \newcommand{\real}{\mathbb{R}} \newcommand{\re}{{\rm Re}} \real^3$ : part ii. A radiation condition (2019) (3)
- Target signatures for imperfectly conducting obstacles at fixed frequency (1994) (3)
- Boundary Value Problems for Maxwell’s Equations (2004) (2)
- A scattering problem for a local perturbation of an open periodic waveguide (2021) (2)
- The simplest cases: Dirichlet and Neumann boundary conditions (2007) (1)
- The MUSIC algorithm and scattering by an inhomogeneous medium (2007) (1)
- Boundary Integral Equation Methods in the Theory of Thin Plates (1998) (1)
- Sampling Methods (2015) (1)
- The Variational Approach to the Cavity Problem (2015) (1)
- Boundary Integral Equation Methods for Lipschitz Domains (2015) (1)
- Boundary Value Problems for the Two-Dimensional Helmholtz Equation (2004) (1)
- NEAR-FIELD IMAGING FOR AN OBSTACLE ABOVE ROUGH SURFACES WITH LIMITED APERTURE DATA (2021) (0)
- Special Issue: Special Issue in Memory of Professor Armin Lechleiter, 1982–2018 (2020) (0)
- Scattering from a Perfect Conductor (2015) (0)
- Use of non-woven fabrics reinforced by water jet as a component of a hook and loop closure (2011) (0)
- Fibrous layer composite material (1990) (0)
- Absorbent liner for food (2015) (0)
- Spunlacet use of nonwoven material as a hook and loop closure component (2011) (0)
- Expansion into Wave Functions (2015) (0)
- [The contraceptive and abortive effect of intrauterine pessaries in animal experiments]. (1968) (0)
- Cross member of a vehicle body (2011) (0)
- Introduction and Basic Concepts (2021) (0)
- The factorization method for other types of inverse obstacle scattering problems (2007) (0)
- A process for the cyclic measurement of distances and speeds of objects with a FMCW radar sensor (2013) (0)
- Theory and Numerics of Inverse Scattering Problems (2016) (0)
- Nonlinear Inverse Problems (2021) (0)
- Inverse Eigenvalue Problems (2021) (0)
- Brian O'Doherty. Studio and the Cube. On the Relationship Between Where Art is Made and Where Art is Displayed (2012) (0)
- Characterization of Inclusions in Impedance Tomography (2011) (0)
- The factorization method in impedance tomography (2007) (0)
- Method for operating a drivetrain of a vehicle, and apparatus for carrying out the method (2008) (0)
- On the scattering of a plane wave by a perturbed open periodic waveguide (2023) (0)
- An Inverse Problem in Electrical Impedance Tomography (2021) (0)
- A method of operating a control network and the control network (2012) (0)
- Corrigendum: Seismic tomography is locally ill-posed (2014 Inverse Problems 30 125001) (2015) (0)
- Drive Level Parameter Identification of an Induction Motor (2022) (0)
- Arrays of Point and Line Sources, and Optimization (2004) (0)
- Inverse Problems in Wave Scattering (2007) (0)
- The factorization method for Maxwell's equations : Electromagnetic characterization of buried obstacles (2004) (0)
- Regularization Theory for Equations of the First Kind (2021) (0)
- Optimization Theory for Antennas (2004) (0)
- The interior transmission eigenvalue problem for a spherically-symmetric domain with anisotropic medium and a cavity (2014) (0)
- [What is the effect of hydroxylapatite ceramics on bone formation?]. (1985) (0)
- Direct and inverse interaction problems with bi-periodic interfaces between acoustic and elastic waves (2013) (0)
- A multilayer sheet, as well as process for producing a multilayer sheet (1993) (0)
- Track borne vehicle (2010) (0)
- Some Particular Optimization Problems (2004) (0)
- Erratum: Inverse Problems for Abstract Evolution Equations II: Higher Order Differentiability for Viscoelasticity (2021) (0)
- Photoacoustic and Coupled Physics Imaging (2012) (0)
- Conflicting Objectives: The Vector Optimization Problem (2004) (0)
- A process for producing a multi-layer elastic flat structure and multi-layer elastic flat structure (1996) (0)
- Analytic and Numerical Methods in the Study of the Inverse Scattering Problem for Acoustic Waves (1983) (0)
- The mixed boundary value problem (2007) (0)
- Alternative sampling and probe methods (2007) (0)
- Composite nonwoven material (1989) (0)
- Discussion of Maxwell’s Equations (2004) (0)
- The Synthesis Problem (2004) (0)
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