Rashid, Sudad Musa; Nachaoui, Abdeljalil A Haar wavelets-based direct reconstruction method for the Cauchy problem of the Poisson equation. (English) Zbl 07962676 Discrete Contin. Dyn. Syst., Ser. S 18, No. 1, 148-168 (2025). MSC: 65N21 65N20 65N35 65T60 65F08 65F20 35J05 35R30 35R25 × Cite Format Result Cite Review PDF Full Text: DOI
Boukraa, Mohamed Aziz; Caillé, Laëtitia; Delvare, Franck Fading regularization method for an inverse boundary value problem associated with the biharmonic equation. (English) Zbl 07958822 J. Comput. Appl. Math. 457, Article ID 116285, 19 p. (2025). MSC: 65N21 65N80 65K10 31A30 35R10 × Cite Format Result Cite Review PDF Full Text: DOI
Ikehata, Masaru Integrating the probe and singular sources methods. (English) Zbl 07959816 J. Inverse Ill-Posed Probl. 32, No. 6, 1249-1275 (2024). MSC: 35R30 35J05 35J25 78A46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Tianjiao; Xu, Xiang; Zhao, Yue Stability for a multi-frequency inverse random source problem. (English) Zbl 07959441 Inverse Probl. 40, No. 12, Article ID 125029, 25 p., 25 p. (2024). MSC: 35R30 35J05 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Achieng, Pauline; Berntsson, Fredrik; Kozlov, Vladimir Reconstruction of the radiation condition and solution for the Helmholtz equation in a semi-infinite strip from Cauchy data on an interior segment. (English) Zbl 07956258 Comput. Methods Appl. Math. 24, No. 4, 813-828 (2024). MSC: 65N21 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Mengjie; Si, Suliang; Hu, Guanghui Uniqueness, stability and algorithm for an inverse wave-number-dependent source problem. (English) Zbl 07950675 Inverse Probl. 40, No. 12, Article ID 125019, 25 p. (2024). MSC: 35R30 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brunel, Victor-Emmanuel; Urschel, John Recovering a magnitude-symmetric matrix from its principal minors. (English) Zbl 07941040 Linear Algebra Appl. 703, 232-267 (2024). MSC: 15A29 15A15 68T05 60G55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Munnier, Alexandre Reconstruction of obstacles in a Stokes flow as a shape-from-moments problem. (English) Zbl 07924641 Inverse Probl. Imaging 18, No. 6, 1343-1365 (2024). MSC: 35R30 76D07 31A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ben Aïcha, Ibtissem; Hu, Guang Hui; Si, Su Liang Increasing stability for inverse source problem with limited-aperture far field data at multi-frequencies. (English) Zbl 07920138 J. Math. Anal. Appl. 540, No. 2, Article ID 128650, 16 p. (2024). MSC: 35R30 35B60 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rabinovich, Daniel; Givoli, Dan A Kirchhoff migration scheme for elastic obstacle identification. (English) Zbl 1547.35668 Inverse Probl. 40, No. 10, Article ID 105006, 24 p. (2024). MSC: 35Q74 35Q60 74J25 74J20 74B10 78A46 86A22 86A15 35J05 65M32 65M60 65M06 65N30 74S05 74S20 × Cite Format Result Cite Review PDF Full Text: DOI
Chang, Yan; Guo, Yukun; Zhao, Yue Inverse source problem of the biharmonic equation from multifrequency phaseless data. (English) Zbl 1546.65099 SIAM J. Sci. Comput. 46, No. 5, A2799-A2818 (2024). MSC: 65N21 65N80 65N35 35R30 30C45 31A30 33C10 35A01 35A02 74J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dai, Dan; Yao, Luming; Zhai, Yu Asymptotics of the confluent hypergeometric process with a varying external potential in the super-exponential region. (English) Zbl 1543.60055 Anal. Appl., Singap. 22, No. 8, 1353-1387 (2024). MSC: 60G55 33C15 34M50 34M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ma, Guanqiu; Guo, Hongxia; Hu, Guanghui Imaging a moving point source from multifrequency data measured at one and sparse observation points. II: Near-field case in 3D. (English) Zbl 1547.35202 SIAM J. Imaging Sci. 17, No. 3, 1377-1414 (2024). MSC: 35J05 35R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Durdiev, Durdimurod K.; Suyarov, Tursunbek R. Inverse coefficient problem for the 2D wave equation with initial and nonlocal boundary conditions. (English) Zbl 07896370 Vladikavkaz. Mat. Zh. 26, No. 2, 5-25 (2024). MSC: 35P05 47F05 35A01 35A24 35J05 35P30 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Chen, Junqing; Jin, Bangti; Liu, Haibo Solving inverse obstacle scattering problem with latent surface representations. (English) Zbl 1544.49032 Inverse Probl. 40, No. 6, Article ID 065013, 30 p. (2024). MSC: 49N45 35J05 35R30 49Q10 49Q12 65K10 65N21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Daily, Bill B. Spectral geometry of unduloids. (English) Zbl 1541.35553 J. Geom. Symmetry Phys. 67, 47-64 (2024). MSC: 35R30 35J05 35P05 53A05 53A10 53C42 58J50 × Cite Format Result Cite Review PDF Full Text: DOI Link
Li, Peijun; Liang, Ying Stability for inverse source problems of the stochastic Helmholtz equation with a white noise. (English) Zbl 1541.35562 SIAM J. Appl. Math. 84, No. 2, 687-709 (2024). MSC: 35R30 35J05 35R60 78A46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Guanghui; Xu, Xiang; Yuan, Xiaokai; Zhao, Yue Stability for the inverse source problem in a two-layered medium separated by rough interface. (English) Zbl 1537.35412 Inverse Probl. Imaging 18, No. 3, 642-656 (2024). MSC: 35R30 35J05 78A46 × Cite Format Result Cite Review PDF Full Text: DOI
Abramova, E. V.; Sivkova, E. O. On the optimal recovery of one family of operators on a class of functions from approximate information about its spectrum. (English. Russian original) Zbl 1539.42008 Sib. Math. J. 65, No. 2, 245-256 (2024); translation from Sib. Mat. Zh. 65, No. 2, 235-248 (2024). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 42B10 35J05 35K05 41A30 41A50 42A10 49N45 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Ji, Xia; Jiao, Yuling; Lu, Xiliang; Wang, Fengru Error estimation to the direct sampling method for the inverse acoustic source problem with multi-frequency data. (English) Zbl 07815417 Inverse Probl. Imaging 18, No. 2, 517-540 (2024). MSC: 78A46 45Q05 35J05 35B40 35R30 62D05 44A12 × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Lide; Chen, Junqing Reverse time migration for imaging periodic obstacles with electromagnetic plane wave. (English) Zbl 07803161 J. Inverse Ill-Posed Probl. 32, No. 1, 21-39 (2024). MSC: 78A46 35R30 65N21 35J05 35J08 65R32 35R09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kow, Pu-Zhao; Larson, Simon; Salo, Mikko; Shahgholian, Henrik Quadrature domains for the Helmholtz equation with applications to non-scattering phenomena. (English) Zbl 1535.35044 Potential Anal. 60, No. 1, 387-424 (2024). MSC: 35J05 35R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ning, Jianfeng; Han, Fuqun; Zou, Jun A direct sampling-based deep learning approach for inverse medium scattering problems. (English) Zbl 1531.65075 Inverse Probl. 40, No. 1, Article ID 015005, 26 p. (2024). MSC: 65J22 68T07 35R30 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fink, Leonie; Hettlich, Frank The domain derivative in inverse obstacle scattering with nonlinear impedance boundary condition. (English) Zbl 1529.35152 Inverse Probl. 40, No. 1, Article ID 015001, 22 p. (2024). MSC: 35J05 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Vasil’ev, V. I.; Kardashevskiĭ, A. M. Iterative solution of the retrospective inverse heat conduction problem using the Poisson integral. (Russian. English summary) Zbl 1543.65220 Sib. Èlektron. Mat. Izv. 20, No. 1, 72-85 (2023). MSC: 65R32 65D32 80A23 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Khot, Rekha; Nataraj, Neela; Verma, Nitesh Conforming VEM for general second-order elliptic problems with rough data on polygonal meshes and its application to a Poisson inverse source problem. (English) Zbl 1534.65239 Math. Models Methods Appl. Sci. 33, No. 14, 2963-3007 (2023). MSC: 65N30 65N12 65N15 65N50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Yu; Cheng, Jin; Lu, Shuai; Yamamoto, Masahiro Harmonic measures and numerical computation of Cauchy problems for Laplace equations. (English) Zbl 1530.65149 Chin. Ann. Math., Ser. B 44, No. 6, 913-928 (2023). MSC: 65N21 65N20 65J05 65N15 35J05 35R25 35R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Amdouni, Saber; Ben Abda, Amel The Cauchy problem for Laplace’s equation via a modified conjugate gradient method and energy space approaches. (English) Zbl 1538.65468 Math. Methods Appl. Sci. 46, No. 4, 3560-3582 (2023). MSC: 65N20 65N21 65N22 65N30 65N12 65N15 35J05 35D30 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Lev-Ari, Hanoch; Ephraim, Yariv; Mark, Brian L. Traffic rate network tomography with higher-order cumulants. (English) Zbl 1529.90019 Networks 81, No. 2, 220-234 (2023). MSC: 90B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tadi, M. A numerical method for inverse Helmholtz problem based on approximate inverse of a matrix. (English) Zbl 07772639 Comput. Math. Appl. 150, 125-131 (2023). MSC: 65N21 65N20 65J20 65K10 65F35 65F22 35J05 35R30 78A46 60H40 × Cite Format Result Cite Review PDF Full Text: DOI
Xiang, Jianli; Hu, Guanghui Uniqueness in determining rectangular grating profiles with a single incoming wave. II: TM polarization case. (English) Zbl 1526.35126 Inverse Probl. 39, No. 11, Article ID 115005, 27 p. (2023). MSC: 35J05 35R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Achieng, Pauline; Berntsson, Fredrik; Kozlov, Vladimir Robin-Dirichlet alternating iterative procedure for solving the Cauchy problem for Helmholtz equation in an unbounded domain. (English) Zbl 1525.35075 J. Inverse Ill-Posed Probl. 31, No. 5, 653-667 (2023). MSC: 35J05 35R30 35R25 65N06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Garnier, Josselin; Haddar, Houssem; Montanelli, Hadrien The linear sampling method for random sources. (English) Zbl 1525.35077 SIAM J. Imaging Sci. 16, No. 3, 1572-1593 (2023). MSC: 35J05 35R30 65M30 65M32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Hongxia; Hu, Guanghui; Ma, Guanqiu Imaging a moving point source from multifrequency data measured at one and sparse observation directions. I: Far-field case. (English) Zbl 1525.35078 SIAM J. Imaging Sci. 16, No. 3, 1535-1571 (2023). MSC: 35J05 35R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ashtab, Z.; Morais, J.; Porter, R. Michael Fourier method for the Neumann problem on a torus. (English) Zbl 1527.31010 Anal. Math. Phys. 13, No. 5, Paper No. 78, 26 p. (2023). MSC: 31B20 35J05 35J25 65N21 × Cite Format Result Cite Review PDF Full Text: DOI
Piorkowski, Mateusz Parametrix problem for the Korteweg-de Vries equation with steplike initial data. (English) Zbl 1528.35152 J. Differ. Equations 372, 280-314 (2023). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 35Q15 76L05 35B40 35J05 37K15 45E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Yanfang; Wu, Zhizhang; Sun, Jiguang; Zhang, Zhiwen Deterministic-statistical approach for an inverse acoustic source problem using multiple frequency limited aperture data. (English) Zbl 1520.35175 Inverse Probl. Imaging 17, No. 6, 1329-1345 (2023). MSC: 35R30 35J05 62F15 65N21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Choi, Doosung; Helsing, Johan; Kang, Sangwoo; Lim, Mikyoung Inverse problem for a planar conductivity inclusion. (English) Zbl 1521.30022 SIAM J. Imaging Sci. 16, No. 2, 969-995 (2023). MSC: 30C35 35J05 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gong, Rongfang; Wang, Min; Huang, Qin; Zhang, Ye A CCBM-based generalized GKB iterative regularization algorithm for inverse Cauchy problems. (English) Zbl 1519.35070 J. Comput. Appl. Math. 432, Article ID 115282, 26 p. (2023). MSC: 35J05 35J25 35R30 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jday, Fadhel; Omri, Haithem Adaptive Runge-Kutta regularization for a Cauchy problem of a modified Helmholtz equation. (English) Zbl 1519.35071 J. Inverse Ill-Posed Probl. 31, No. 3, 351-374 (2023). MSC: 35J05 35J25 65N21 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Zhengfang; Gao, Xiangjing; Cheng, Xiaoliang Numerical estimation of the inverse eigenvalue problem for a weighted Helmholtz equation. (English) Zbl 1545.65417 J. Sci. Comput. 96, No. 1, Paper No. 16, 31 p. (2023). MSC: 65N25 65N21 65N30 65K10 65F10 65N12 35J05 35R09 49J50 49M41 49J35 35A01 35A02 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Meng, Shixu Single mode multi-frequency factorization method for the inverse source problem in acoustic waveguides. (English) Zbl 1520.78024 SIAM J. Appl. Math. 83, No. 2, 394-417 (2023). MSC: 78A46 78A50 76Q05 35R30 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tadi, M.; Radenkovic, M. A unified solution method for linear elliptic Cauchy problems. (English) Zbl 1524.65738 Comput. Appl. Math. 42, No. 3, Paper No. 113, 20 p. (2023). MSC: 65N21 35J05 31A30 78A46 65K10 65J20 65N06 65N80 × Cite Format Result Cite Review PDF Full Text: DOI
Alishah, Hassan Najafi The Hamiltonian formalism of the inverse problem. (English) Zbl 1519.37065 J. Geom. Phys. 188, Article ID 104827, 19 p. (2023). MSC: 37J39 37J06 53D05 37J35 70H45 70G45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bourgeois, Laurent; Fritsch, Jean-François; Recoquillay, Arnaud Scattering in a partially open waveguide: the inverse problem. (English) Zbl 1514.35116 Inverse Probl. Imaging 17, No. 2, 463-489 (2023). MSC: 35J05 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Botchev, Mikhail A.; Kabanikhin, Sergey I.; Shishlenin, Maxim A.; Tyrtyshnikov, Eugene E. The Cauchy problem for the 3D Poisson equation: Landweber iteration vs. horizontally diagonalize and fit method. (English) Zbl 1514.65157 J. Inverse Ill-Posed Probl. 31, No. 2, 203-221 (2023). MSC: 65N21 65N20 65K10 65F22 65F15 65N15 35J05 35B65 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Fenglin; Wang, Xianchao Reconstruction of acoustic sources from multi-frequency phaseless far-field data. (English) Zbl 1512.78022 J. Inverse Ill-Posed Probl. 31, No. 2, 177-189 (2023). MSC: 78A46 65T50 65N21 65N12 35J05 35R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Long; Hu, Guanghui; Yang, Jiansheng Piecewise-analytic interfaces with weakly singular points of arbitrary order always scatter. (English) Zbl 1505.35369 J. Funct. Anal. 284, No. 5, Article ID 109800, 31 p. (2023). MSC: 35R30 35P25 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abid, Chaima; Abda, Amel Ben; Fatma, Riadh Ben; Boukari, Yosra A data completion algorithm using an integral representation of the Steklov-Poincaré operator. (English) Zbl 1504.65242 J. Comput. Appl. Math. 422, Article ID 114855, 13 p. (2023). MSC: 65N20 65N21 65K10 65R20 65F08 65F10 65N12 35J05 35R25 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Ping; Meng, Pinchao; Yin, Weishi; Liu, Hongyu A neural network method for time-dependent inverse source problem with limited-aperture data. (English) Zbl 1498.65152 J. Comput. Appl. Math. 421, Article ID 114842, 15 p. (2023). MSC: 65M32 35J05 35R30 49N45 68T07 × Cite Format Result Cite Review PDF Full Text: DOI
Kokurin, M. Yu. Completeness of products of homogeneous harmonic polynomials and uniqueness of the solution to an inverse wave sounding problem. (English) Zbl 1498.35367 J. Math. Anal. Appl. 517, No. 1, Article ID 126584, 12 p. (2023). MSC: 35P10 35A02 35J05 35J15 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Akyel, Tŭgba; Lanza de Cristoforis, Massimo Microscopic behavior of the solutions of a transmission problem for the Helmholtz equation. A functional analytic approach. (English) Zbl 07858074 Stud. Univ. Babeș-Bolyai, Math. 67, No. 2, 383-402 (2022). MSC: 35J05 35R30 41A60 45F15 47H30 78A30 × Cite Format Result Cite Review PDF Full Text: DOI
Sadio, Guillaume Itbadio; Seck, Aliou; Seck, Diaraf Numerical and theoretical analysis for optimal shape inverse problems. (English) Zbl 1534.35092 Seck, Diaraf (ed.) et al., Nonlinear analysis, geometry and applications. Proceedings of the second NLAGA-BIRS symposium, Cap Skirring, Senegal, January 25–30, 2022. Cham: Springer. Trends Math., 275-315 (2022). MSC: 35J05 35J25 35K55 35R35 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Dandan; Duan, Zhiwen The inverse source problem of Cherenkov radiation model. (English) Zbl 1511.65099 Appl. Numer. Math. 182, 42-56 (2022). MSC: 65M32 65M30 65M60 65M06 65N30 65J20 65M12 65M15 78A40 78A46 35B65 83A05 92C55 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Griesmaier, Roland; Raumer, Hans-Georg The factorization method and Capon’s method for random source identification in experimental aeroacoustics. (English) Zbl 1498.35616 Inverse Probl. 38, No. 11, Article ID 115004, 17 p. (2022). MSC: 35R30 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Lili; Li, Jianliang Recovery of an infinite rough surface by a nonlinear integral equation method from phaseless near-field data. (English) Zbl 1502.65287 J. Inverse Ill-Posed Probl. 30, No. 5, 743-758 (2022). MSC: 65R32 35J05 35P25 35R30 78A46 45Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Kotoulas, Thomas A nonlinear PDE for families of orbits on a given surface. (English) Zbl 1497.35020 J. Nonlinear Math. Phys. 29, No. 3, 601-625 (2022). MSC: 35A30 70G45 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Shiqi; Salo, Mikko Fixed angle inverse scattering in the presence of a Riemannian metric. (English) Zbl 1493.35114 J. Inverse Ill-Posed Probl. 30, No. 4, 495-520 (2022). MSC: 35Q60 35J05 31B10 35R30 78A40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nguyen Trung Thành Convexity of a discrete Carleman weighted objective functional in an inverse medium scattering problem. (English) Zbl 1495.35215 J. Inverse Ill-Posed Probl. 30, No. 4, 485-493 (2022). MSC: 35R30 35J05 35P25 65K10 78A46 × Cite Format Result Cite Review PDF Full Text: DOI
Park, Won-Kwang Investigation of a non-iterative technique based on topological derivatives for fast localization of small conductivity inclusions. (English) Zbl 1524.35762 Comput. Math. Appl. 120, 45-59 (2022). MSC: 35R30 78A46 35J05 35J25 65N21 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Heping; Zhang, Deyue; Chi, Yingwei An iterative scheme for imaging acoustic obstacle from phaseless total-field data. (English) Zbl 1494.65093 Inverse Probl. Imaging 16, No. 4, 925-942 (2022). MSC: 65N21 65N20 76Q05 78A46 65K10 65F20 65F22 65R20 35J05 65J20 35R30 35R25 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Alberti, Giovanni S.; Santacesaria, Matteo Calderón’s inverse problem with a finite number of measurements. II: independent data. (English) Zbl 1494.35179 Appl. Anal. 101, No. 10, 3636-3654 (2022). MSC: 35R30 35J05 78A46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kang, Sangwoo; Park, Won-Kwang Application of MUSIC algorithm for a fast identification of small perfectly conducting cracks in limited-aperture inverse scattering problem. (English) Zbl 1524.35753 Comput. Math. Appl. 117, 97-112 (2022). MSC: 35R30 78A46 35J05 65N21 78A45 × Cite Format Result Cite Review PDF Full Text: DOI
Berdawood, Karzan; Nachaoui, Abdeljalil; Saeed, Rostam; Nachaoui, Mourad; Aboud, Fatima An efficient D-N alternating algorithm for solving an inverse problem for Helmholtz equation. (English) Zbl 1491.35131 Discrete Contin. Dyn. Syst., Ser. S 15, No. 1, 57-78 (2022). MSC: 35J05 35R30 65N21 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Nanfuka, Mary; Berntsson, Fredrik; Mango, John Solving the Cauchy problem for the Helmholtz equation using cubic smoothing splines. (English) Zbl 1491.35145 J. Appl. Math. Comput. 68, No. 2, 1335-1350 (2022). MSC: 35J05 65N21 65D07 × Cite Format Result Cite Review PDF Full Text: DOI
Harris, I.; Kleefeld, A. Analysis and computation of the transmission eigenvalues with a conductive boundary condition. (English) Zbl 1491.35139 Appl. Anal. 101, No. 6, 1880-1895 (2022). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 35J05 35J35 78M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Le Louër, F.; Rapún, M.-L. Topological imaging methods for the iterative detection of multiple impedance obstacles. (English) Zbl 1545.65407 J. Math. Imaging Vis. 64, No. 3, 321-340 (2022). MSC: 65N21 35J05 35R30 65K10 78A46 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Zhenyu Boundary condition limitation in an inverse source problem and its overcoming. (English) Zbl 1524.35779 Comput. Math. Appl. 111, 124-133 (2022). MSC: 35R30 65N21 35J05 35Q60 35R25 × Cite Format Result Cite Review PDF Full Text: DOI
Bonnetier, Éric; Niclas, Angèle; Seppecher, Laurent; Vial, Grégory Small defects reconstruction in waveguides from multifrequency one-side scattering data. (English) Zbl 1484.35404 Inverse Probl. Imaging 16, No. 2, 417-450 (2022). MSC: 35R30 35J05 35J25 78A46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
García-Ferrero, María Ángeles; Rüland, Angkana; Zatoń, Wiktoria Runge approximation and stability improvement for a partial data Calderón problem for the acoustic Helmholtz equation. (English) Zbl 1481.35399 Inverse Probl. Imaging 16, No. 1, 251-281 (2022). MSC: 35R30 35B60 35J05 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borges, Carlos; Rachh, Manas Multifrequency inverse obstacle scattering with unknown impedance boundary conditions using recursive linearization. (English) Zbl 1481.65209 Adv. Comput. Math. 48, No. 1, Paper No. 2, 32 p. (2022). MSC: 65N21 65N20 65R32 31A10 45Q05 35J05 35R30 35R25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nair, M. Thamban; Shylaja, Devika Conforming and nonconforming finite element methods for biharmonic inverse source problem. (English) Zbl 1493.65181 Inverse Probl. 38, No. 2, Article ID 025001, 36 p. (2022). MSC: 65N21 65N20 65J20 65N30 65N15 31A30 35R25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barkhan, J.; Ganesh, M.; Hawkins, S. C. Approximation of radiating waves in the near-field: error estimates and application to a class of inverse problems. (English) Zbl 1493.65179 J. Comput. Appl. Math. 401, Article ID 113769, 19 p. (2022). MSC: 65N21 65N30 65N15 78A40 78A45 78A46 78M10 35J05 35R30 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Kalmenov, Tynysbek Sharipovich; Les, Aidana Kasimkyzy; Iskakova, Ulzada Asilovna Determination of density of elliptic potential. (English) Zbl 1499.35195 Eurasian Math. J. 12, No. 4, 43-52 (2021). MSC: 35J05 35P10 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Charkaoui, Abderrahim; El Badia, Abdellatif; Eddine Alaa, Nour An efficient and robust algorithm for source reconstruction in the Helmholtz equation. (English) Zbl 07484743 Inverse Probl. Sci. Eng. 29, No. 13, 2944-2970 (2021). MSC: 65K10 35R30 49J20 49J50 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Wen, Jin; Huang, Li-Ming; Liu, Zhuan-Xia A modified quasi-reversibility method for inverse source problem of Poisson equation. (English) Zbl 07480125 Inverse Probl. Sci. Eng. 29, No. 12, 2098-2109 (2021). MSC: 35R30 65N20 × Cite Format Result Cite Review PDF Full Text: DOI
Tadi, M.; Radenkovic, Miloje New computational methods for inverse wave scattering with a new filtering technique. Inverse wave scattering. (English) Zbl 07460643 Optim. Eng. 22, No. 4, 2457-2479 (2021). MSC: 65N21 65K10 65J20 65F22 35J05 78A46 35R30 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Ikehata, Masaru Reconstruction of a source domain from the Cauchy data: II. Three-dimensional case. (English) Zbl 1478.35238 Inverse Probl. 37, No. 12, Article ID 125004, 29 p. (2021). MSC: 35R30 35J05 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Achieng, Pauline; Berntsson, Fredrik; Chepkorir, Jennifer; Kozlov, Vladimir Analysis of Dirichlet-Robin iterations for solving the Cauchy problem for elliptic equations. (English) Zbl 1480.35139 Bull. Iran. Math. Soc. 47, No. 6, 1681-1699 (2021). MSC: 35J25 35J05 35R30 65N21 × Cite Format Result Cite Review PDF Full Text: DOI
Petrov, A. G. Areas of attraction of a pendulum under the influence of oblique vibration of a suspension point. (English. Russian original) Zbl 1476.93134 Vestn. St. Petersbg. Univ., Math. 54, No. 3, 273-281 (2021); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 8(66), No. 3, 511-522 (2021). MSC: 93D05 93C20 70K20 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Blåsten, Emilia; Liu, Hongyu On corners scattering stably and stable shape determination by a single far-field pattern. (English) Zbl 1479.35648 Indiana Univ. Math. J. 70, No. 3, 907-947 (2021). MSC: 35Q35 76Q05 35J05 35P25 74J20 35R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nakonechnyi, Oleksandr; Podlipenko, Yuri; Shestopalov, Yury Guaranteed a posteriori estimation of uncertain data in exterior Neumann problems for Helmholtz equation from inexact indirect observations of their solutions. (English) Zbl 1473.35656 Inverse Probl. Sci. Eng. 29, No. 4, 525-535 (2021). MSC: 35R30 35J05 35J25 65N21 × Cite Format Result Cite Review PDF Full Text: DOI
Menoret, P.; Hrizi, M.; Novotny, A. A. On the Kohn-Vogelius formulation for solving an inverse source problem. (English) Zbl 1477.31010 Inverse Probl. Sci. Eng. 29, No. 1, 56-72 (2021). MSC: 31A25 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Chein-Shan; Zhang, Yaoming; Wang, Fajie A homogenization function technique to solve the 3D inverse Cauchy problem of elliptic type equations in a closed walled shell. (English) Zbl 1473.65272 Inverse Probl. Sci. Eng. 29, No. 7, 944-966 (2021). MSC: 65N21 35J05 74G75 74K25 × Cite Format Result Cite Review PDF Full Text: DOI
Vo Anh Khoa; Bidney, Grant W.; Klibanov, Michael V.; Nguyen, Loc H.; Nguyen, Lam H.; Sullivan, Anders J.; Astratov, Vasily N. An inverse problem of a simultaneous reconstruction of the dielectric constant and conductivity from experimental backscattering data. (English) Zbl 1478.78033 Inverse Probl. Sci. Eng. 29, No. 5, 712-735 (2021). MSC: 78A46 65N21 35J05 35J65 42B05 78-05 35R30 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kovtanyuk, Andrey; Chebotarev, Alexander; Botkin, Nikolai; Turova, Varvara; Sidorenko, Irina; Lampe, Renée Modeling the pressure distribution in a spatially averaged cerebral capillary network. (English) Zbl 1471.92115 Math. Control Relat. Fields 11, No. 3, 643-652 (2021). MSC: 92C35 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
He, Shangqin; Feng, Xiufang A mollification method with Dirichlet kernel to solve the Cauchy problem for the three-dimensional Laplace equation. (Chinese. English summary) Zbl 1474.65327 J. Sichuan Norm. Univ., Nat. Sci. 44, No. 1, 55-62 (2021). MSC: 65M30 65M32 35J05 65M15 65J20 × Cite Format Result Cite Review PDF Full Text: DOI
Pyatkov, S. G.; Neustroeva, L. V. On some asymptotic representations of solutions to elliptic equations and their applications. (English) Zbl 1467.35114 Complex Var. Elliptic Equ. 66, No. 6-7, 964-987 (2021). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J08 35J05 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Audibert, L.; Chesnel, L.; Haddar, H.; Napal, K. Qualitative indicator functions for imaging crack networks using acoustic waves. (English) Zbl 1461.35222 SIAM J. Sci. Comput. 43, No. 2, B271-B297 (2021). MSC: 35R30 35J05 35J25 78A40 78A46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kalmenov, T. S.; Kabanikhin, S. I.; Les, Aidana The Sommerfeld problem and inverse problem for the Helmholtz equation. (English) Zbl 1464.35066 J. Inverse Ill-Posed Probl. 29, No. 1, 49-64 (2021). MSC: 35J05 35A08 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Abdelhak, Hadj; Saker, Hacene Corrigendum to: “Integral equations method for solving a biharmonic inverse problem in detection of Robin coefficients”. (English) Zbl 1472.31006 Appl. Numer. Math. 161, 147 (2021). MSC: 31A30 35J40 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Hadj, Abdelhak; Saker, Hacene Integral equations method for solving a biharmonic inverse problem in detection of Robin coefficients. (English) Zbl 1459.31002 Appl. Numer. Math. 160, 436-450 (2021); corrigendum ibid. 161, 147 (2021). MSC: 31A30 35J40 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Peijun; Wang, Xu An inverse random source problem for the one-dimensional Helmholtz equation with attenuation. (English) Zbl 1458.35481 Inverse Probl. 37, No. 1, Article ID 015009, 18 p. (2021). MSC: 35R30 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Peijun; Zhai, Jian; Zhao, Yue Lipschitz stability for an inverse source scattering problem at a fixed frequency. (English) Zbl 1458.35482 Inverse Probl. 37, No. 2, Article ID 025003, 17 p. (2021). MSC: 35R30 35J05 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abreu Blaya, R. A Riemann jump problem for biharmonic functions in fractal domains. (English) Zbl 1456.31003 Anal. Math. Phys. 11, No. 1, Paper No. 22, 13 p. (2021). MSC: 31A30 31A25 × Cite Format Result Cite Review PDF Full Text: DOI
Kirsch, Andreas An introduction to the mathematical theory of inverse problems. 3rd updated edition. (English) Zbl 1456.35001 Applied Mathematical Sciences 120. Cham: Springer (ISBN 978-3-030-63342-4/hbk; 978-3-030-63345-5/pbk; 978-3-030-63343-1/ebook). xvii, 400 p. (2021). MSC: 35-02 35R30 65J20 34B24 35P25 65J10 65J15 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Achchab, B.; Abda, A. Ben; Sakat, A. Stopping criteria based on the reciprocity gap concept for data boundary recovering. (English) Zbl 1473.35645 Appl. Comput. Math. 19, No. 3, 283-299 (2020). MSC: 35R30 31A25 65M15 35J05 × Cite Format Result Cite Review PDF Full Text: Link
Aussal, Matthieu; Boukari, Yosra; Haddar, Houssem Data completion method for the Helmholtz equation via surface potentials for partial Cauchy data. (English) Zbl 1469.35243 Inverse Probl. 36, No. 5, Article ID 055012, 17 p. (2020). MSC: 35R30 35J05 35J25 65M32 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Kirkeby, Adrian; Henriksen, Mads T. R.; Karamehmedović, Mirza Stability of the inverse source problem for the Helmholtz equation in \(R^3\). (English) Zbl 1469.35253 Inverse Probl. 36, No. 5, Article ID 055007, 23 p. (2020). MSC: 35R30 35J05 65N21 × Cite Format Result Cite Review PDF Full Text: DOI
Karabanova, O. V.; Kokurin, M. Yu.; Kozlov, A. I. Finite dimensional iteratively regularized Gauss-Newton type methods and application to an inverse problem of the wave tomography with incomplete data range. (English) Zbl 1461.65110 Inverse Probl. Sci. Eng. 28, No. 5, 637-661 (2020). MSC: 65J22 35J05 35R30 65R30 × Cite Format Result Cite Review PDF Full Text: DOI