Andreas Kirsch

Andreas Kirsch's AcademicInfluence.com Rankings

Andreas Kirsch

Mathematics

#7516

World Rank

#10207

Historical Rank

Measure Theory

#2242

World Rank

#2691

Historical Rank

mathematics Degrees

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Mathematics

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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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What Schools Are Affiliated With Andreas Kirsch?

Andreas Kirsch is affiliated with the following schools:

Karlsruhe Institute of Technology

Andreas Kirsch's Academic­Influence.com Rankings

Why Is Andreas Kirsch Influential?

Andreas Kirsch's Published Works

Published Works

What Schools Are Affiliated With Andreas Kirsch?

Andreas Kirsch's AcademicInfluence.com Rankings