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D-Index & Metrics

Mathematics

D-Index
39
Citations
6166
World Ranking
2212
National Ranking
932

Research.com Recognitions

  • 2019 - Fellow of the American Mathematical Society For contributions to analysis of partial differential equations especially in inverse scattering theory.

Overview

Fioralba Cakoni is affiliated with Rutgers, The State University of New Jersey in the United States. Their research spans multiple areas within engineering and mathematics, focusing on topics such as numerical methods in inverse problems, microwave imaging and scattering analysis, and advanced mathematical modeling in engineering. Additional areas of specialization include electromagnetic scattering and analysis, metamaterials and metasurfaces applications, and advanced numerical methods in computational mathematics.

Their publication record includes papers in key venues such as arXiv (Cornell University), Inverse Problems, Inverse Problems and Imaging, the Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, and the SIAM Journal on Mathematical Analysis.

Frequent collaborators include Michael Vogelius, Houssem Haddar, Peter Monk, Jingni Xiao, and Narek Hovsepyan, with whom Fioralba Cakoni has coauthored multiple research articles.

Significant papers authored by Fioralba Cakoni include:

  1. On corner scattering for operators of divergence form and applications to inverse scattering (2021), Communications in Partial Differential Equations
  2. Singularities almost always scatter: Regularity results for non-scattering inhomogeneities (2023), Communications on Pure and Applied Mathematics
  3. Analysis of the linear sampling method for imaging penetrable obstacles in the time domain (2021), Analysis & PDE
  4. On the Regularity of Non-scattering Anisotropic Inhomogeneities (2023), Archive for Rational Mechanics and Analysis
  5. A duality between scattering poles and transmission eigenvalues in scattering theory (2020), Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences

Their contribution to academic literature also includes book publications, notably a volume titled Inverse Scattering Theory and Transmission Eigenvalues, Second Edition, published in 2022 by the Society for Industrial and Applied Mathematics.

Fioralba Cakoni's research aligns primarily with the disciplines of engineering and mathematics, with a focus on mathematical physics, biomedical engineering, computational theory and mathematics, atomic and molecular physics and optics, and mechanics of materials.

They have received recognition as a Fellow of the American Mathematical Society in 2019 for contributions to the analysis of partial differential equations, especially in inverse scattering theory.

Best Publications

  • Qualitative methods in inverse scattering theory : an introduction

    Fioralba Cakoni;David L. Colton

  • The Existence of an Infinite Discrete Set of Transmission Eigenvalues

    Fioralba Cakoni;Drossos Gintides;Houssem Haddar

  • A Qualitative Approach to Inverse Scattering Theory

    Fioralba Cakoni;David Colton

  • The Linear Sampling Method in Inverse Electromagnetic Scattering

    Fioralba Cakoni;David Colton;Peter Monk

  • Inverse scattering theory and transmission eigenvalues

    Fioralba Cakoni;David Colton;Houssem Haddar

  • On the determination of Dirichlet or transmission eigenvalues from far field data

    Fioralba Cakoni;David Colton;Houssem Haddar

  • The linear sampling method for cracks

    Fioralba Cakoni;David Colton

  • Transmission Eigenvalues in Inverse Scattering Theory

    Fioralba Cakoni;Houssem Haddar

  • The interior transmission eigenvalue problem

    Fioralba Cakoni;David Colton;Drossos Gintides

  • The inverse electromagnetic scattering problem for anisotropic media

    Fioralba Cakoni;David Colton;Peter Monk;Jiguang Sun

  • On the existence of transmission eigenvalues in an inhomogeneous medium

    Fioralba Cakoni;Houssem Haddar

  • On the interior transmission eigenvalue problem

    Fioralba Cakoni;Andreas Kirsch

  • The linear sampling method for anisotropic media

    Fioralba Cakoni;David Colton;Houssem Haddar

  • The direct and inverse scattering problems for partially coated obstacles

    Fioralba Cakoni;David Colton;Peter Monk

  • On the use of transmission eigenvalues to estimate the index of refraction from far field data

    Fioralba Cakoni;David Colton;Peter Monk

  • Analysis of two linear sampling methods applied to electromagnetic imaging of buried objects

    Fioralba Cakoni;M'Barek Fares;Houssem Haddar

  • THE DETERMINATION OF THE SURFACE IMPEDANCE OF A PARTIALLY COATED OBSTACLE FROM FAR FIELD DATA

    David Colton;Fioralba Cakoni

  • On the Mathematical Basis of the Linear Sampling Method

    Fioralba Cakoni;David Colton

  • Transmission eigenvalues and the nondestructive testing of dielectrics

    Fioralba Cakoni;Mehmet Çayören;David Colton

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

    Fioralba Cakoni;Rainer Kress

Frequent Co-Authors

David Colton
David Colton University of Delaware
Houssem Haddar
Houssem Haddar École Polytechnique
Peter Monk
Peter Monk University of Delaware
Rainer Kress
Rainer Kress University of Göttingen
Andreas Kirsch
Andreas Kirsch Karlsruhe Institute of Technology
Patrick Joly
Patrick Joly École Nationale Supérieure de Techniques Avancées
Wolfgang L. Wendland
Wolfgang L. Wendland University of Stuttgart
Patrick Ciarlet
Patrick Ciarlet École Nationale Supérieure de Techniques Avancées

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