2026 Rainer Kress: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	59	583	491	27	26	200	17472

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

583

491

200

17472

Overview

Rainer Kress is affiliated with the University of Göttingen in Germany and conducts research primarily in the fields of engineering and physics and astronomy. Their work spans several subfields including electrical and electronic engineering, atomic and molecular physics and optics, aerospace engineering, and biomedical engineering.

The main areas of focus in their research include electromagnetic simulation and numerical methods, electromagnetic scattering and analysis, advanced antenna and metasurface technologies, and microwave imaging and scattering analysis.

Rainer Kress has published papers in notable scientific venues, including:

Journal of Mathematical Analysis and Applications
SIAM Journal on Mathematical Analysis

Recent publications provide insight into Kress's research directions. These include:

"The vector Helmholtz equation revisited: Inverse obstacle scattering," published in 2022 in the Journal of Mathematical Analysis and Applications
"The DB Boundary Condition in Electromagnetic Scattering Revisited," published in 2021 in the SIAM Journal on Mathematical Analysis

The scientist's research topics focus on theoretical and applied aspects of electromagnetic phenomena, specifically addressing problems related to scattering and wave propagation. This involves the development and refinement of mathematical models and simulation techniques to analyze complex electromagnetic environments.

Best Publications

Inverse Acoustic and Electromagnetic Scattering Theory

David L. Colton;Rainer Kress

4153
Citations
Integral equation methods in scattering theory

David L. Colton;Rainer Kress

3903
Citations
On the numerical solution of a hypersingular integral equation in scattering theory

Rainer Kress

323
Citations
A Nyström method for boundary integral equations in domains with corners

Rainer Kress

279
Citations
Uniqueness in inverse obstacle scattering (acoustics)

A Kirsch;R Kress

255
Citations
Inverse scattering from an open arc

Rainer Kress

241
Citations
Nonlinear integral equations and the iterative solution for an inverse boundary value problem

Rainer Kress;William Rundell

233
Citations
Transmission problems for the Helmholtz equation

R. Kress;G. F. Roach

227
Citations
UNIQUENESS IN INVERSE OBSTACLE SCATTERING

Rainer Kress

173
Citations
Using fundamental solutions in inverse scattering

David Colton;Rainer Kress

155
Citations
Newton’s method for inverse obstacle scattering meets the method of least squares

Rainer Kress

140
Citations
Inverse scattering for shape and impedance

Rainer Kress;William Rundell

128
Citations
Ill-Posed Problems

David Colton;Rainer Kress

128
Citations
On the far‐field operator in elastic obstacle scattering

Carlos J. S. Alves;Rainer Kress

120
Citations
On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces

David Colton;Rainer Kress

118
Citations
Identification of sound-soft 3D obstacles from phaseless data

Olha Ivanyshyn;Rainer Kress

110
Citations
A quasi-Newton method in inverse obstacle scattering

R Kress;W Rundell

109
Citations
Inverse Obstacle Scattering with Modulus of the Far Field Pattern as Data

Rainer Kress;William Rundell

105
Citations
On the numerical solution of an inverse boundary value problem for the heat equation

Roman Chapko;Rainer Kress;Jeong-Rock Yoon

103
Citations
Integral equations for inverse problems in corrosion detection from partial Cauchy data

Fioralba Cakoni;Rainer Kress

103
Citations

Frequent Co-Authors

David Colton University of Delaware

Fioralba Cakoni Rutgers, The State University of New Jersey

William Rundell Texas A&M University

Houssem Haddar École Polytechnique

Ian H. Sloan University of New South Wales

Patrick Joly École Nationale Supérieure de Techniques Avancées

Lars Mönch University of Hagen

Peter Monk University of Delaware

Patrick Ciarlet École Nationale Supérieure de Techniques Avancées

External Links

Personal website of Rainer Kress

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