Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 90, 2011 - Issue 10: Dedicated to Michael V. Klibanov, outstanding expert in inverse problems
Submit an article Journal homepage
147
Views
20
CrossRef citations to date
0
Altmetric
Original Articles

Adaptive finite element method for a coefficient inverse problem for Maxwell's system

Larisa Beilina Department of Mathematical Sciences, Chalmers University of Technology and Gothenburg University, SE-42196 Gothenburg, SwedenCorrespondence[email protected]
Pages 1461-1479 | Received 18 May 2010, Accepted 13 Jun 2010, Published online: 11 Mar 2011

Citations (20)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (2)

Marion Darbas, Jérémy Heleine & Stephanie Lohrengel. (2020) Sensitivity analysis for 3D Maxwell's equations and its use in the resolution of an inverse medium problem at fixed frequency. Inverse Problems in Science and Engineering 28:4, pages 459-496.
Read now
Larisa Beilina & Michael V. Klibanov. (2014) Relaxation property for the adaptivity for ill-posed problems. Applicable Analysis 93:2, pages 223-253.
Read now

Articles from other publishers (18)

Maxim Shishlenin, Nikita Savchenko, Nikita Novikov & Dmitriy Klyuchinskiy. (2022) Modeling of 2D Acoustic Radiation Patterns as a Control Problem. Mathematics 10:7, pages 1116.
Crossref
M A Shishlenin, N S Novikov & D V Klyuchinskiy. (2021) On the recovering of acoustic attenuation in 2D acoustic tomography. Journal of Physics: Conference Series 2099:1, pages 012046.
Crossref
L. Beilina, M. Eriksson & I. Gainova. (2021) Time-Adaptive Determination of Drug Efficacy in Mathematical Model of HIV Infection. Differential Equations and Dynamical Systems.
Crossref
Dmitriy Klyuchinskiy, Nikita Novikov & Maxim Shishlenin. (2021) Recovering Density and Speed of Sound Coefficients in the 2D Hyperbolic System of Acoustic Equations of the First Order by a Finite Number of Observations. Mathematics 9:2, pages 199.
Crossref
Dmitriy Klyuchinskiy, Nikita Novikov & Maxim Shishlenin. (2020) A Modification of Gradient Descent Method for Solving Coefficient Inverse Problem for Acoustics Equations. Computation 8:3, pages 73.
Crossref
Larisa Beilina, Michel Cristofol & Shumin Li. (2018) Determining the conductivity for a nonautonomous hyperbolic operator in a cylindrical domain. Mathematical Methods in the Applied Sciences 41:5, pages 2012-2030.
Crossref
L Beilina, M Cristofol, S Li & M Yamamoto. (2018) Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations. Inverse Problems 34:1, pages 015001.
Crossref
M. de Buhan & M. Darbas. (2017) Numerical resolution of an electromagnetic inverse medium problem at fixed frequency. Computers & Mathematics with Applications 74:12, pages 3111-3128.
Crossref
Martin Schweiger & Simon Arridge. (2017) Basis mapping methods for forward and inverse problems. International Journal for Numerical Methods in Engineering 109:1, pages 3-28.
Crossref
Larisa Beilina & Samar Hosseinzadegan. (2016) An adaptive finite element method in reconstruction of coefficients in Maxwell’s equations from limited observations. Applications of Mathematics 61:3, pages 253-286.
Crossref
Larisa Beilina, Nguyen Trung Thành, Michael V. Klibanov & John Bondestam Malmberg. (2015) Globally convergent and adaptive finite element methods in imaging of buried objects from experimental backscattering radar measurements. Journal of Computational and Applied Mathematics 289, pages 371-391.
Crossref
Larisa Beilina, Michel Cristofol & Kati Niinimäki. (2015) Optimization approach for the simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions from limited observations. Inverse Problems & Imaging 9:1, pages 1-25.
Crossref
Larisa Beilina & Irina Gainova. 2015. Inverse Problems and Applications. Inverse Problems and Applications 111 124 .
Larisa Beilina, Nguyen Trung Thành, Michael V. Klibanov & John Bondestam Malmberg. 2015. Inverse Problems and Applications. Inverse Problems and Applications 13 41 .
Larisa Beilina, Nguyen Trung Thành, Michael V Klibanov & John Bondestam Malmberg. (2014) Reconstruction of shapes and refractive indices from backscattering experimental data using the adaptivity. Inverse Problems 30:10, pages 105007.
Crossref
E. M. Karchevskii, A. O. Spiridonov, A. I. Repina & L. Beilina. (2014) Reconstruction of Dielectric Constants of Core and Cladding of Optical Fibers Using Propagation Constants Measurements. Physics Research International 2014, pages 1-9.
Crossref
Larisa Beilina & Michael V. Klibanov. 2013. Applied Inverse Problems. Applied Inverse Problems 129 153 .
Larisa Beilina & Irina Gainova. 2013. Applied Inverse Problems. Applied Inverse Problems 37 50 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.