Edit Profile (opens in new tab) Beilina, Larisa Co-Author Distance Author ID: beilina.larisa Published as: Beilina, Larisa; Beilina, L. External Links: ORCID Documents Indexed: 82 Publications since 2001, including 2 Books and 14 Additional arXiv Preprints 5 Contributions as Editor Co-Authors: 55 Co-Authors with 76 Joint Publications 779 Co-Co-Authors all top 5 Co-Authors 11 single-authored 25 Klibanov, Michael V. 7 Cristofol, Michel 6 Thành, Nguyen Trung 5 Asadzadeh, Mohammad Sina 5 Fiddy, Michael A. 5 Karchevskii, Evgenii Mikhailovich 5 Malmberg, John Bondestam 5 Niinimäki, Kati 4 Gainova, Irina 4 Li, Shumin 4 Ruas, Vitoriano 3 Kuzhuget, Andrey V. 2 Clason, Christian 2 Eriksson, Anders B. 2 Ghaderi Aram, Morteza 2 Guillot, Genevieve 2 Koshev, Nikolay A. 2 Krogstad, Harald E. 2 Lindström, Eric 1 Åhlander, Krister 1 Andresen, Marte P. Hatlo 1 Bakushinskĭ, Anatoliĭ Borisovich B. 1 Bergounioux, Maïtine 1 Da Silva, Anabela 1 Dobsicek Trefna, Hana 1 Gedda, Rebecca 1 Grote, Marcus J. 1 Hatlo, Marte P. 1 Hosseinzadegan, Samar 1 Johnson, Claes G. L. 1 Johnsson, C. 1 Karchevskiĭ, Mikhail Mironovich 1 Kokurin, Mikhail Yur’evich 1 Korotov, Sergey 1 Křížek, Michal 1 Larsen, Truls Martin 1 Litman, Amélie C. S. 1 Mpinganzima, Lydie 1 Naseer, Mudasser 1 Nguyen Trung Thanh 1 Nguyen, Lam H. 1 Pantong, Natee 1 Repina, Anna I. 1 Samuelsson, Klas 1 Schenk, John 1 Shestopalov, Yury V. 1 Smirnov, Yury G. 1 Smolkin, Eugene 1 Spiridonov, Alexander O. 1 Spiridonov, Alexandr 1 Standar, Christoffer 1 Sullivan, Anders J. 1 Tan, Ruomu 1 Tassin, Philippe 1 Yamamoto, Masahiro all top 5 Serials 8 Inverse Problems 5 Journal of Inverse and Ill-Posed Problems 5 Springer Proceedings in Mathematics & Statistics 4 Applied and Computational Mathematics 3 Applicable Analysis 3 Applications of Mathematics 3 SIAM Journal on Scientific Computing 3 Journal of Mathematical Sciences (New York) 2 Central European Journal of Mathematics 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Differential Equations and Dynamical Systems 1 Communications in Nonlinear Science and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Journal of Computational Methods in Sciences and Engineering 1 Complex Variables and Elliptic Equations 1 Inverse Problems and Imaging 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 SIAM Journal on Imaging Sciences 1 TWMS Journal of Pure and Applied Mathematics 1 Journal of Mathematics in Industry 1 Journal of Computational and Theoretical Transport all top 5 Fields 65 Numerical analysis (65-XX) 43 Partial differential equations (35-XX) 31 Optics, electromagnetic theory (78-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 General and overarching topics; collections (00-XX) 5 Mechanics of deformable solids (74-XX) 5 Biology and other natural sciences (92-XX) 4 Integral equations (45-XX) 3 Fluid mechanics (76-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 60 Publications have been cited 712 times in 290 Documents Cited by ▼ Year ▼ Approximate global convergence and adaptivity for coefficient inverse problems. Zbl 1255.65168 Beilina, Larisa; Klibanov, Michael Victor 150 2012 A globally convergent numerical method for a coefficient inverse problem. Zbl 1185.65175 Beilina, Larisa; Klibanov, Michael V. 44 2008 Imaging of buried objects from experimental backscattering time-dependent measurements using a globally convergent inverse algorithm. Zbl 1432.35259 Nguyen Trung Thành; Beilina, Larisa; Klibanov, Michael V.; Fiddy, Michael A. 31 2015 Blind backscattering experimental data collected in the field and an approximately globally convergent inverse algorithm. Zbl 1250.35185 Kuzhuget, Andrey V.; Beilina, Larisa; Klibanov, Michael V; Sullivan, Anders; Nguyen, Lam; Fiddy, Michael A 30 2012 Globally strongly convex cost functional for a coefficient inverse problem. Zbl 1515.35336 Beilina, Larisa; Klibanov, Michael V. 28 2015 Picosecond scale experimental verification of a globally convergent algorithm for a coefficient inverse problem. Zbl 1190.78006 Klibanov, Michael V.; Fiddy, Michael A.; Beilina, Larisa; Pantong, Natee; Schenk, John 27 2010 Adaptivity with relaxation for ill-posed problems and global convergence for a coefficient inverse problem. Zbl 1286.65147 Beilina, L.; Klibanov, M. V.; Kokurin, M. Yu. 27 2010 Reconstruction of the refractive index from experimental backscattering data using a globally convergent inverse method. Zbl 1410.78018 Thành, Nguyen Trung; Beilina, Larisa; Klibanov, Michael V.; Fiddy, Michael A. 24 2014 Energy estimates and numerical verification of the stabilized domain decomposition finite element/Finite difference approach for time-dependent Maxwell’s system. Zbl 1267.78044 Beilina, Larisa 24 2013 A posteriori error estimation in computational inverse scattering. Zbl 1160.76363 Beilina, Larisa; Johnson, Claes 22 2005 Reconstruction of shapes and refractive indices from backscattering experimental data using the adaptivity. Zbl 1327.35429 Beilina, Larisa; Thành, Nguyen Trung; Klibanov, Michael V.; Malmberg, John Bondestam 19 2014 Reconstruction of dielectrics from experimental data via a hybrid globally convergent/adaptive inverse algorithm. Zbl 1209.78010 Beilina, Larisa; Klibanov, Michael V. 19 2010 Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations. Zbl 1474.35689 Beilina, L.; Cristofol, M.; Li, S.; Yamamoto, M. 18 2018 A posteriori error estimates for the adaptivity technique for the Tikhonov functional and global convergence for a coefficient inverse problem. Zbl 1193.65165 Beilina, Larisa; Klibanov, Michael V. 18 2010 A new approximate mathematical model for global convergence for a coefficient inverse problem with backscattering data. Zbl 1279.35094 Beilina, Larisa; Klibanov, Michael V. 17 2012 Reconstruction from blind experimental data for an inverse problem for a hyperbolic equation. Zbl 1292.78011 Beilina, Larisa; Thành, Nguyen Trung; Klibanov, Michael V.; Fiddy, Michael A. 17 2014 An adaptive hybrid FEM/FDM method for an inverse scattering problem in scanning acoustic microscopy. Zbl 1104.65313 Beilina, Larisa; Clason, Christian 16 2006 Globally convergent and adaptive finite element methods in imaging of buried objects from experimental backscattering radar measurements. Zbl 1332.78020 Beilina, Larisa; Thành, Nguyen Trung; Klibanov, Michael V.; Malmberg, John Bondestam 15 2015 Synthesis of global convergence and adaptivity for a hyperbolic coefficient inverse problem in 3D. Zbl 1279.65116 Beilina, Larisa; Klibanov, Michael V. 15 2010 Adaptive finite element method for a coefficient inverse problem for Maxwell’s system. Zbl 1223.78010 Beilina, Larisa 12 2011 Efficiency of a hybrid method for the wave equation. Zbl 0994.65088 Beilina, Larisa; Samuelsson, Klas; Åhlander, Krister 11 2001 Approximate global convergence and quasireversibility for a coefficient inverse problem with backscattering data. Zbl 1252.35282 Kuzhuget, A. V.; Beilina, L.; Klibanov, M. V. 11 2012 Why a minimizer of the Tikhonov functional is closer to the exact solution than the first guess. Zbl 1279.35113 Klibanov, Michael V.; Bakushinsky, Anatoly B.; Beilina, Larisa 11 2011 An adaptive finite element method for Fredholm integral equations of the first kind and its verification on experimental data. Zbl 1312.65225 Koshev, Nikolay; Beilina, Larisa 10 2013 Optimization approach for the simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions from limited observations. Zbl 1308.35296 Beilina, Larisa; Cristofol, Michel; Niinimäki, Kati 7 2015 Numerical linear algebra: theory and applications. Zbl 1396.65001 Beilina, Larisa; Karchevskii, Evgenii; Karchevskii, Mikhail 7 2017 A posteriori error estimates in a globally convergent FEM for a hyperbolic coefficient inverse problem. Zbl 1222.65103 Asadzadeh, M.; Beilina, L. 7 2010 Nonobtuse tetrahedral partitions that refine locally towards Fichera-like corners. Zbl 1099.65105 Beilina, Larisa; Korotov, Sergey; Křížek, Michal 6 2005 New a posteriori error estimates for adaptivity technique and global convergence for the hyperbolic coefficient inverse problem. Zbl 1219.35350 Beilina, L.; Klibanov, M. V.; Kuzhuget, A. 5 2011 Relaxation property for the adaptivity for ill-posed problems. Zbl 1286.35146 Beilina, Larisa; Klibanov, Michael V. 5 2014 The philosophy of the approximate global convergence for multidimensional coefficient inverse problems. Zbl 1236.65120 Beilina, Larisa; Klibanov, Michael V. 4 2012 Adaptive hybrid finite element/difference method for Maxwell’s equations. Zbl 1236.78028 Beilina, Larisa; Grote, Marcus J. 4 2010 Hybrid FEM/FDM method for an inverse scattering problem. Zbl 1043.65111 Beilina, L.; Johnsson, C. 4 2003 Reconstruction of dielectric constants of multi-layered optical fibers using propagation constants measurements. Zbl 1362.78011 Karchevskii, E. M.; Beilina, L.; Spiridonov, A. O.; Repina, A. I. 4 2016 An adaptive finite element method in reconstruction of coefficients in Maxwell’s equations from limited observations. Zbl 1413.65363 Beilina, Larisa; Hosseinzadegan, Samar 3 2016 Approximate global convergence in imaging of land mines from backscattered data. Zbl 1279.65110 Beilina, Larisa; Klibanov, Michael V. 3 2013 A posteriori error estimates for Fredholm integral equations of the first kind. Zbl 1278.65198 Koshev, N.; Beilina, L. 3 2013 Adaptive finite element/difference method for inverse elastic scattering waves. Zbl 1209.74028 Beilina, Larisa 2 2003 Adaptive algorithm for an inverse electromagnetic scattering problem. Zbl 1172.78004 Beilina, Larisa; Hatlo, Marte P.; Krogstad, Harald E. 2 2009 Adaptive hybrid finite element/difference methods: application to inverse elastic scattering. Zbl 1055.74022 Beilina, L. 2 2003 Time-adaptive FEM for distributed parameter identification in mathematical model of HIV infection with drug therapy. Zbl 1332.92034 Beilina, Larisa; Gainova, Irina 2 2015 Convergence of stabilized \(P_1\) finite element scheme for time harmonic Maxwell’s equations. Zbl 1446.65158 Asadzadeh, Mohammad; Beilina, Larisa 2 2020 Convergence of explicit \(P_1\) finite-element solutions to Maxwell’s equations. Zbl 07240119 Beilina, Larisa; Ruas, Vitoriano 2 2020 The finite element method and balancing principle for magnetic resonance imaging. Zbl 1452.65402 Beilina, Larisa; Guillot, Geneviève; Niinimäki, Kati 2 2020 Time-adaptive FEM for distributed parameter identification in biological models. Zbl 1275.92004 Beilina, Larisa; Gainova, Irina 2 2013 A stabilized \(P1\) domain decomposition finite element method for time harmonic Maxwell’s equations. Zbl 07619073 Asadzadeh, M.; Beilina, L. 2 2023 Inverse problems and large-scale computations. Selected papers of the second workshop on inverse problems and the workshop on large-scale modeling, Sunne, Sweden, May 1–6, 2012. Zbl 1275.65003 2 2013 On finite element method for magnetic resonance imaging. Zbl 1402.78024 Beilina, Larisa; Guillot, Genevieve; Niinimäki, Kati 2 2018 Adaptive hybrid finite element/Difference method for Maxwell’s equations: an a priori error estimate and efficiency. Zbl 1208.78031 Beilina, Larisa 1 2010 Determining the conductivity for a nonautonomous hyperbolic operator in a cylindrical domain. Zbl 1448.65137 Beilina, Larisa; Cristofol, Michel; Li, Shumin 1 2018 Determination of permittivity from propagation constant measurements in optical fibers. Zbl 1319.78013 Karchevskii, Evgenii; Spiridonov, Alexandr; Beilina, Larisa 1 2015 Reconstruction of dielectric constants in a cylindrical waveguide. Zbl 1319.78010 Beilina, Larisa; Eriksson, Anders 1 2015 The layer-stripping algorithm for reconstruction of dielectrics in an optical fiber. Zbl 1319.78011 Beilina, Larisa; Karchevskii, Evgenii 1 2015 Reconstruction of annular bi-layered media in cylindrical waveguide section. Zbl 1370.74053 Eriksson, Anders; Beilina, Larisa; Larsen, Truls Martin 1 2017 An adaptive finite element method for solving 3D electromagnetic volume integral equation with applications in microwave thermometry. Zbl 07525120 Beilina, Larisa; Ghaderi Aram, Morteza; Karchevskii, Evgenii M. 1 2022 Domain decomposition finite element/finite difference method for the conductivity reconstruction in a hyperbolic equation. Zbl 1473.65160 Beilina, Larisa 1 2016 Adaptive FEM with relaxation for a hyperbolic coefficient inverse problem. Zbl 1278.65141 Beilina, Larisa; Klibanov, Michael V. 1 2013 Microwave thermometry with potential application in non-invasive monitoring of hyperthermia. Zbl 1466.65171 Ghaderi Aram, Morteza; Beilina, Larisa; Dobsicek Trefna, Hana 1 2020 Numerical studies of the Lagrangian approach for reconstruction of the conductivity in a waveguide. Zbl 1402.78016 Beilina, Larisa; Niinimäki, Kati 1 2018 Uniqueness, stability and numerical reconstruction of a time and space-dependent conductivity for an inverse hyperbolic problem. Zbl 1402.35268 Beilina, Larisa; Cristofol, M.; Li, S. 1 2018 A stabilized \(P1\) domain decomposition finite element method for time harmonic Maxwell’s equations. Zbl 07619073 Asadzadeh, M.; Beilina, L. 2 2023 An adaptive finite element method for solving 3D electromagnetic volume integral equation with applications in microwave thermometry. Zbl 07525120 Beilina, Larisa; Ghaderi Aram, Morteza; Karchevskii, Evgenii M. 1 2022 Convergence of stabilized \(P_1\) finite element scheme for time harmonic Maxwell’s equations. Zbl 1446.65158 Asadzadeh, Mohammad; Beilina, Larisa 2 2020 Convergence of explicit \(P_1\) finite-element solutions to Maxwell’s equations. Zbl 07240119 Beilina, Larisa; Ruas, Vitoriano 2 2020 The finite element method and balancing principle for magnetic resonance imaging. Zbl 1452.65402 Beilina, Larisa; Guillot, Geneviève; Niinimäki, Kati 2 2020 Microwave thermometry with potential application in non-invasive monitoring of hyperthermia. Zbl 1466.65171 Ghaderi Aram, Morteza; Beilina, Larisa; Dobsicek Trefna, Hana 1 2020 Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations. Zbl 1474.35689 Beilina, L.; Cristofol, M.; Li, S.; Yamamoto, M. 18 2018 On finite element method for magnetic resonance imaging. Zbl 1402.78024 Beilina, Larisa; Guillot, Genevieve; Niinimäki, Kati 2 2018 Determining the conductivity for a nonautonomous hyperbolic operator in a cylindrical domain. Zbl 1448.65137 Beilina, Larisa; Cristofol, Michel; Li, Shumin 1 2018 Numerical studies of the Lagrangian approach for reconstruction of the conductivity in a waveguide. Zbl 1402.78016 Beilina, Larisa; Niinimäki, Kati 1 2018 Uniqueness, stability and numerical reconstruction of a time and space-dependent conductivity for an inverse hyperbolic problem. Zbl 1402.35268 Beilina, Larisa; Cristofol, M.; Li, S. 1 2018 Numerical linear algebra: theory and applications. Zbl 1396.65001 Beilina, Larisa; Karchevskii, Evgenii; Karchevskii, Mikhail 7 2017 Reconstruction of annular bi-layered media in cylindrical waveguide section. Zbl 1370.74053 Eriksson, Anders; Beilina, Larisa; Larsen, Truls Martin 1 2017 Reconstruction of dielectric constants of multi-layered optical fibers using propagation constants measurements. Zbl 1362.78011 Karchevskii, E. M.; Beilina, L.; Spiridonov, A. O.; Repina, A. I. 4 2016 An adaptive finite element method in reconstruction of coefficients in Maxwell’s equations from limited observations. Zbl 1413.65363 Beilina, Larisa; Hosseinzadegan, Samar 3 2016 Domain decomposition finite element/finite difference method for the conductivity reconstruction in a hyperbolic equation. Zbl 1473.65160 Beilina, Larisa 1 2016 Imaging of buried objects from experimental backscattering time-dependent measurements using a globally convergent inverse algorithm. Zbl 1432.35259 Nguyen Trung Thành; Beilina, Larisa; Klibanov, Michael V.; Fiddy, Michael A. 31 2015 Globally strongly convex cost functional for a coefficient inverse problem. Zbl 1515.35336 Beilina, Larisa; Klibanov, Michael V. 28 2015 Globally convergent and adaptive finite element methods in imaging of buried objects from experimental backscattering radar measurements. Zbl 1332.78020 Beilina, Larisa; Thành, Nguyen Trung; Klibanov, Michael V.; Malmberg, John Bondestam 15 2015 Optimization approach for the simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions from limited observations. Zbl 1308.35296 Beilina, Larisa; Cristofol, Michel; Niinimäki, Kati 7 2015 Time-adaptive FEM for distributed parameter identification in mathematical model of HIV infection with drug therapy. Zbl 1332.92034 Beilina, Larisa; Gainova, Irina 2 2015 Determination of permittivity from propagation constant measurements in optical fibers. Zbl 1319.78013 Karchevskii, Evgenii; Spiridonov, Alexandr; Beilina, Larisa 1 2015 Reconstruction of dielectric constants in a cylindrical waveguide. Zbl 1319.78010 Beilina, Larisa; Eriksson, Anders 1 2015 The layer-stripping algorithm for reconstruction of dielectrics in an optical fiber. Zbl 1319.78011 Beilina, Larisa; Karchevskii, Evgenii 1 2015 Reconstruction of the refractive index from experimental backscattering data using a globally convergent inverse method. Zbl 1410.78018 Thành, Nguyen Trung; Beilina, Larisa; Klibanov, Michael V.; Fiddy, Michael A. 24 2014 Reconstruction of shapes and refractive indices from backscattering experimental data using the adaptivity. Zbl 1327.35429 Beilina, Larisa; Thành, Nguyen Trung; Klibanov, Michael V.; Malmberg, John Bondestam 19 2014 Reconstruction from blind experimental data for an inverse problem for a hyperbolic equation. Zbl 1292.78011 Beilina, Larisa; Thành, Nguyen Trung; Klibanov, Michael V.; Fiddy, Michael A. 17 2014 Relaxation property for the adaptivity for ill-posed problems. Zbl 1286.35146 Beilina, Larisa; Klibanov, Michael V. 5 2014 Energy estimates and numerical verification of the stabilized domain decomposition finite element/Finite difference approach for time-dependent Maxwell’s system. Zbl 1267.78044 Beilina, Larisa 24 2013 An adaptive finite element method for Fredholm integral equations of the first kind and its verification on experimental data. Zbl 1312.65225 Koshev, Nikolay; Beilina, Larisa 10 2013 Approximate global convergence in imaging of land mines from backscattered data. Zbl 1279.65110 Beilina, Larisa; Klibanov, Michael V. 3 2013 A posteriori error estimates for Fredholm integral equations of the first kind. Zbl 1278.65198 Koshev, N.; Beilina, L. 3 2013 Time-adaptive FEM for distributed parameter identification in biological models. Zbl 1275.92004 Beilina, Larisa; Gainova, Irina 2 2013 Inverse problems and large-scale computations. Selected papers of the second workshop on inverse problems and the workshop on large-scale modeling, Sunne, Sweden, May 1–6, 2012. Zbl 1275.65003 2 2013 Adaptive FEM with relaxation for a hyperbolic coefficient inverse problem. Zbl 1278.65141 Beilina, Larisa; Klibanov, Michael V. 1 2013 Approximate global convergence and adaptivity for coefficient inverse problems. Zbl 1255.65168 Beilina, Larisa; Klibanov, Michael Victor 150 2012 Blind backscattering experimental data collected in the field and an approximately globally convergent inverse algorithm. Zbl 1250.35185 Kuzhuget, Andrey V.; Beilina, Larisa; Klibanov, Michael V; Sullivan, Anders; Nguyen, Lam; Fiddy, Michael A 30 2012 A new approximate mathematical model for global convergence for a coefficient inverse problem with backscattering data. Zbl 1279.35094 Beilina, Larisa; Klibanov, Michael V. 17 2012 Approximate global convergence and quasireversibility for a coefficient inverse problem with backscattering data. Zbl 1252.35282 Kuzhuget, A. V.; Beilina, L.; Klibanov, M. V. 11 2012 The philosophy of the approximate global convergence for multidimensional coefficient inverse problems. Zbl 1236.65120 Beilina, Larisa; Klibanov, Michael V. 4 2012 Adaptive finite element method for a coefficient inverse problem for Maxwell’s system. Zbl 1223.78010 Beilina, Larisa 12 2011 Why a minimizer of the Tikhonov functional is closer to the exact solution than the first guess. Zbl 1279.35113 Klibanov, Michael V.; Bakushinsky, Anatoly B.; Beilina, Larisa 11 2011 New a posteriori error estimates for adaptivity technique and global convergence for the hyperbolic coefficient inverse problem. Zbl 1219.35350 Beilina, L.; Klibanov, M. V.; Kuzhuget, A. 5 2011 Picosecond scale experimental verification of a globally convergent algorithm for a coefficient inverse problem. Zbl 1190.78006 Klibanov, Michael V.; Fiddy, Michael A.; Beilina, Larisa; Pantong, Natee; Schenk, John 27 2010 Adaptivity with relaxation for ill-posed problems and global convergence for a coefficient inverse problem. Zbl 1286.65147 Beilina, L.; Klibanov, M. V.; Kokurin, M. Yu. 27 2010 Reconstruction of dielectrics from experimental data via a hybrid globally convergent/adaptive inverse algorithm. Zbl 1209.78010 Beilina, Larisa; Klibanov, Michael V. 19 2010 A posteriori error estimates for the adaptivity technique for the Tikhonov functional and global convergence for a coefficient inverse problem. Zbl 1193.65165 Beilina, Larisa; Klibanov, Michael V. 18 2010 Synthesis of global convergence and adaptivity for a hyperbolic coefficient inverse problem in 3D. Zbl 1279.65116 Beilina, Larisa; Klibanov, Michael V. 15 2010 A posteriori error estimates in a globally convergent FEM for a hyperbolic coefficient inverse problem. Zbl 1222.65103 Asadzadeh, M.; Beilina, L. 7 2010 Adaptive hybrid finite element/difference method for Maxwell’s equations. Zbl 1236.78028 Beilina, Larisa; Grote, Marcus J. 4 2010 Adaptive hybrid finite element/Difference method for Maxwell’s equations: an a priori error estimate and efficiency. Zbl 1208.78031 Beilina, Larisa 1 2010 Adaptive algorithm for an inverse electromagnetic scattering problem. Zbl 1172.78004 Beilina, Larisa; Hatlo, Marte P.; Krogstad, Harald E. 2 2009 A globally convergent numerical method for a coefficient inverse problem. Zbl 1185.65175 Beilina, Larisa; Klibanov, Michael V. 44 2008 An adaptive hybrid FEM/FDM method for an inverse scattering problem in scanning acoustic microscopy. Zbl 1104.65313 Beilina, Larisa; Clason, Christian 16 2006 A posteriori error estimation in computational inverse scattering. Zbl 1160.76363 Beilina, Larisa; Johnson, Claes 22 2005 Nonobtuse tetrahedral partitions that refine locally towards Fichera-like corners. Zbl 1099.65105 Beilina, Larisa; Korotov, Sergey; Křížek, Michal 6 2005 Hybrid FEM/FDM method for an inverse scattering problem. Zbl 1043.65111 Beilina, L.; Johnsson, C. 4 2003 Adaptive finite element/difference method for inverse elastic scattering waves. Zbl 1209.74028 Beilina, Larisa 2 2003 Adaptive hybrid finite element/difference methods: application to inverse elastic scattering. Zbl 1055.74022 Beilina, L. 2 2003 Efficiency of a hybrid method for the wave equation. Zbl 0994.65088 Beilina, Larisa; Samuelsson, Klas; Åhlander, Krister 11 2001 all cited Publications top 5 cited Publications all top 5 Cited by 360 Authors 61 Klibanov, Michael V. 35 Beilina, Larisa 22 Nguyen, Loc Hoang 17 Yamamoto, Masahiro 11 Li, Jingzhi 9 Imanuvilov, Oleg Yu. 9 Shishlenin, Maxim Aleksandrovich 9 Sullivan, Anders J. 8 Bakushinskĭ, Anatoliĭ Borisovich B. 8 Leonov, Aleksandr Sergeevich 8 Luk’yanenko, Dmitriĭ Vital’evich 8 Nguyen, Dinh Liem 7 Li, Shumin 7 Nguyen, Lam H. 6 Romanov, Vladimir Gavrilovich 6 Yagola, Anatoliĭ Grigor’evich 6 Zhang, Wenlong 6 Zou, Jun 5 Harrach, Bastian 5 Kolesov, Aleksandr Egorovich 5 Liu, Hongyu 5 Medvedik, M. Yu. 5 Volkov, Vladimir T. 4 Alekseev, Gennady V. 4 Lesnic, Daniel 4 Pantong, Natee 4 Romanov, Sergey Y. 4 Vo Anh Khoa 3 Astratov, Vasily N. 3 Baudouin, Lucie 3 Bellassoued, Mourad 3 Chow, Yat Tin 3 de Buhan, Maya 3 Fiddy, Michael A. 3 Gaikovich, Konstantin P. 3 Gainova, Irina 3 Golgeleyen, Fikret 3 Houston, Paul 3 Kokurin, Mikhail Yur’evich 3 Koshev, Nikolay A. 3 Kuzhuget, Andrey V. 3 Liu, Hanli 3 Nefedov, Nikolaĭ Nikolaevich 3 Sakthivel, Kumarasamy 3 Smirnov, Alexey V. 3 Smirnov, Yury G. 3 Su, Jianzhong 3 Thành, Nguyen Trung 3 Xu, Yifeng 3 Zhang, Ye 2 Asadzadeh, Mohammad Sina 2 Balachandran, Krishnan 2 Baranibalan, N. 2 Ben Aïcha, Ibtissem 2 Bidney, Grant W. 2 Cardoulis, Laure 2 Černá, Dana 2 Clason, Christian 2 Congreve, Scott 2 Cristofol, Michel 2 Darbas, Marion 2 Daveau, Christian 2 Denisov, Alexander Mikhailovich 2 Ding, Yibin 2 Ervedoza, Sylvain 2 Finěk, Václav 2 Floridia, Giuseppe 2 Fu, Song-Ren 2 Gao, Yu 2 Ghaderi Aram, Morteza 2 Goncharsky, Alexander V. 2 Greengard, Leslie F. 2 Grote, Marcus J. 2 Guo, Yukun 2 Han, Fuqun 2 Hasanoǧlu, Alemdar 2 Hussein, S. O. 2 Isaev, Mikhail Ismailovitch 2 Ismailov, Mansur I. 2 Izadi, Mohammad 2 Kabanikhin, Sergeĭ Igorevich 2 Karchevskii, Evgenii Mikhailovich 2 Karchevsky, Andrey Leonidovich 2 Khelifi, Abdessatar 2 Kian, Yavar 2 Kim, Jeong-Hoon 2 Klyuchinskiy, Dmitriy V. 2 Konschin, Alexander 2 Koshev, Nikolaj A. 2 Kovtunenko, Viktor Anatolievich 2 Kozlov, Alexander I. 2 Krogstad, Harald E. 2 Kunisch, Karl 2 Le, Thuy T. T. 2 Liu, Hui 2 Liu, Yikan 2 Loc H. Nguyen 2 Maksimovitch, Yelena S. 2 Malmberg, John Bondestam 2 Mercado, Alberto ...and 260 more Authors all top 5 Cited in 76 Serials 38 Inverse Problems 28 Journal of Inverse and Ill-Posed Problems 23 Applicable Analysis 23 Inverse Problems in Science and Engineering 11 Journal of Computational Physics 9 Computers & Mathematics with Applications 8 SIAM Journal on Applied Mathematics 8 Inverse Problems and Imaging 6 Computational Mathematics and Mathematical Physics 6 Journal of Mathematical Sciences (New York) 6 SIAM Journal on Imaging Sciences 5 Applied Numerical Mathematics 4 Applied Mathematics and Computation 4 Journal of Computational and Applied Mathematics 4 SIAM Journal on Mathematical Analysis 4 SIAM Journal on Scientific Computing 4 Lobachevskii Journal of Mathematics 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Mathematical Analysis and Applications 3 Communications in Nonlinear Science and Numerical Simulation 2 BIT 2 Mathematics and Computers in Simulation 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerische Mathematik 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Numerical Analysis 2 Journal of Scientific Computing 2 Applications of Mathematics 2 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 2 Differential Equations 2 Nonlinear Analysis. Real World Applications 2 Matematicheskoe Modelirovanie 2 Central European Journal of Mathematics 2 Computational Methods for Differential Equations 1 Computer Physics Communications 1 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 Wave Motion 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Mathematics of Computation 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Optimization 1 Automatica 1 Biometrics 1 Journal of Differential Equations 1 Rostocker Mathematisches Kolloquium 1 Acta Applicandae Mathematicae 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 The Journal of Geometric Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 Electronic Journal of Differential Equations (EJDE) 1 Advances in Computational Mathematics 1 Mathematical Problems in Engineering 1 Differential Equations and Dynamical Systems 1 Journal of Inequalities and Applications 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Journal of Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Analysis and Applications (Singapore) 1 Complex Variables and Elliptic Equations 1 Proceedings of the Steklov Institute of Mathematics 1 Communications in Computational Physics 1 Annals of Functional Analysis 1 Journal of Mathematics in Industry 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Communications in Mathematics and Statistics 1 Evolution Equations and Control Theory 1 Journal of Mathematics 1 Mathematics 1 Open Mathematics 1 AIMS Mathematics 1 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya all top 5 Cited in 30 Fields 214 Partial differential equations (35-XX) 171 Numerical analysis (65-XX) 56 Optics, electromagnetic theory (78-XX) 21 Biology and other natural sciences (92-XX) 19 Fluid mechanics (76-XX) 18 Mechanics of deformable solids (74-XX) 17 Integral equations (45-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 9 Systems theory; control (93-XX) 8 Operator theory (47-XX) 7 Information and communication theory, circuits (94-XX) 5 Geophysics (86-XX) 4 Ordinary differential equations (34-XX) 4 Computer science (68-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Quantum theory (81-XX) 3 Operations research, mathematical programming (90-XX) 2 History and biography (01-XX) 2 Potential theory (31-XX) 2 Integral transforms, operational calculus (44-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year