Approximate global convergence and adaptivity for coefficient inverse problems L Beilina, MV Klibanov Springer Science & Business Media, 2012 | 450 | 2012 |
A globally convergent numerical method for a coefficient inverse problem L Beilina, MV Klibanov SIAM Journal on Scientific Computing 31 (1), 478-509, 2008 | 143 | 2008 |
Adaptivity with relaxation for ill-posed problems and global convergence for a coefficient inverse problem L Beilina, MV Klibanov, MY Kokurin Journal of Mathematical Sciences 167, 279-325, 2010 | 110 | 2010 |
A posteriori error estimation in computational inverse scattering L Beilina, C Johnson Mathematical models and methods in applied sciences 15 (01), 23-35, 2005 | 80 | 2005 |
Reconstruction of the refractive index from experimental backscattering data using a globally convergent inverse method NT Thanh, L Beilina, MV Klibanov, MA Fiddy SIAM Journal on Scientific Computing 36 (3), B273-B293, 2014 | 76 | 2014 |
Blind backscattering experimental data collected in the field and an approximately globally convergent inverse algorithm AV Kuzhuget, L Beilina, MV Klibanov, A Sullivan, L Nguyen, MA Fiddy, ... Inverse Problems 28 (9), 095007, 2012 | 74 | 2012 |
Picosecond scale experimental verification of a globally convergent algorithm for a coefficient inverse problem MV Klibanov, MA Fiddy, L Beilina, N Pantong, J Schenk Inverse problems 26 (4), 045003, 2010 | 67 | 2010 |
Energy estimates and numerical verification of the stabilized domain decomposition finite element/finite difference approach for time-dependent Maxwell’s system L Beilina Central European Journal of Mathematics 11, 702-733, 2013 | 62 | 2013 |
Imaging of buried objects from experimental backscattering time-dependent measurements using a globally convergent inverse algorithm NT Thanh, L Beilina, MV Klibanov, MA Fiddy SIAM Journal on Imaging Sciences 8 (1), 757-786, 2015 | 58 | 2015 |
Reconstruction of dielectrics from experimental data via a hybrid globally convergent/adaptive inverse algorithm L Beilina, MV Klibanov Inverse Problems 26 (12), 125009, 2010 | 56 | 2010 |
Numerical linear algebra: Theory and applications L Beilina, E Karchevskii, M Karchevskii Springer International Publishing, 2017 | 54 | 2017 |
A posteriori error estimates for the adaptivity technique for the Tikhonov functional and global convergence for a coefficient inverse problem L Beilina, MV Klibanov Inverse Problems 26 (4), 045012, 2010 | 54 | 2010 |
Reconstruction of shapes and refractive indices from backscattering experimental data using the adaptivity L Beilina, NT Thanh, MV Klibanov, JB Malmberg Inverse Problems 30 (10), 105007, 2014 | 52 | 2014 |
An adaptive hybrid FEM/FDM method for an inverse scattering problem in scanning acoustic microscopy L Beilina, C Clason SIAM Journal on Scientific Computing 28 (1), 382-402, 2006 | 50 | 2006 |
Globally strongly convex cost functional for a coefficient inverse problem L Beilina, MV Klibanov Nonlinear analysis: real world applications 22, 272-288, 2015 | 49 | 2015 |
A new approximate mathematical model for global convergence for a coefficient inverse problem with backscattering data L Beilina, MV Klibanov Journal of Inverse and Ill-Posed Problems 20 (4), 513-565, 2012 | 47 | 2012 |
Hybrid FEM/FDM method for an inverse scattering problem L Beilina, C Johnsson Numerical Mathematics and Advanced Applications: Proceedings of ENUMATH 2001 …, 2003 | 45 | 2003 |
Adaptive finite element method for a coefficient inverse problem for Maxwell's system L Beilina Applicable Analysis 90 (10), 1461-1479, 2011 | 44 | 2011 |
Synthesis of global convergence and adaptivity for a hyperbolic coefficient inverse problem in 3D L Beilina, MV Klibanov Walter de Gruyter GmbH & Co. KG 18 (1), 85-132, 2010 | 44 | 2010 |
Efficiency of a hybrid method for the wave equation L Beilina, K Samuelsson, K Åhlander Gakkotosho, 2001 | 43 | 2001 |