[1] Jiahui Gao, Shuxin Li, Junliang Lv, A direct sampling method for inverse elastic
scattering in cavity structure, Inverse Problems and Imaging, 21, 48–72, 2026.
[2] Lei Lin, Junliang Lv and Jiahui Gao, An adaptive finite element DtN method for the acoustic transmission problem, Journal of Computational and Applied Mathematics, 471, PaperNo. 116725, 2026.
[3] Pengcheng Cheng, Yiyang Guo, Yongxu Liu, Junliang Lv and Yiru Zhao, A two-stage algorithm based on convolution and attention hybrid architecture for multi-obstacle inverse scattering problems: integrating obstacle perception and shape recognition. Journal of Inverse and Ill-Posed Problems, 33(6), 861–887, 2025.
[4] Sijia Li, Lei Lin, Junliang Lv, A posteriori error estimate and adaptive algorithm of the finite element method for elastic scattering from anisotropic media with transparent boundary condition, International Journal for Numerical Methods in Engineering, 126(22), PaperNo. E70177, 2025.
[5] Lei Lin and Junliang Lv, An adaptive finite element DtN method for the acoustic-elastic interaction problem in periodic structures. Advances in Computational Mathematics, 51(4), PaperNo. 41, 2025.
[6] Shuxin Li, Junliang Lv and Tian Niu, A factorization method for inverse elastic scattering in cavity structure. Journal of Scientific Computing, 105(1), PaperNo. 6, 2025.
[7] Shuxin Li, Junliang Lv and Yi Wang, Factorization method for inverse elastic obstacle scattering with Neumann boundary condition, Journal of Scientific Computing, 104(2), PaperNo. 45, 2025.
[8] Jiahui Gao, Junliang Lv and Shuxin Li, A uniqueness result for the inverse electromagnetic scattering by locally rough surfaces with phaseless far-field data, Mathematical Methods in the Applied Sciences, 48(13), 12790-12800, 2025.
[9] Jiahui Gao, Junliang Lv and Tian Niu, Uniqueness in inverse electromagnetic scattering by locally rough surfaces, Communications in Mathematical Research, 41(2), 189-208, 2025.
[10] Yi Wang, Junliang Lv, Shuxin Li, Numerical method for inverse scattering by random penetrable periodic structures, Inverse Problems and Imaging, 19(2), 400-423, 2025.
[11] Jiawei Liang, Junliang Lv, Tian Niu, Convergence of the PML method for time-domain acoustic scattering problem in three dimensions, Discrete and Continuous Dynamical Systems-Series B, 30(4), 1390-1414, 2025.
[12] Lei Lin, Junliang Lv, Tian Niu, An adaptive DtN-FEM for the scattering problem from orthotropic media, Applied Numerical Mathematics, 209, 140-154, 2025.
[13] Tian Niu, Junliang Lv, Jiahui Gao, Uniqueness and numerical method for phaseless inverse diffraction grating problem with known superposition of incident point sources, Inverse Problems, 40(8), 085006, 2024.
[14] Lei Lin, Junliang Lv, Shuxin Li, An adaptive finite element DtN method for the acoustic-elastic interaction problem, Advances in Computational Mathematics, 50(4), 67, 2024.
[15] Shuxin Li, Junliang Lv, Yi Wang, Numerical method for the inverse interior scattering problem from phaseless data, Inverse Problem and Imaging, 18(4), 776-796, 2024.
[16] Dan, Wu, Junliang Lv, Zhiqiang Sheng, A nonlinear finite volume element method preserving the discrete maximum principle for heterogeneous anisotropic diffusion equations. Journal of Computational and Applied Mathematics, 451, 116023, 2024.
[17] Tian Niu, Junliang Lv, Dan Wu, Uniqueness in phaseless inverse electromagnetic scattering problem with known superposition of incident electric dipoles, Mathematical Methods in the Applied Sciences, 46(17), 17692–17703, 2023.
[18] Lei Lin, Junliang Lv, Jingyan Yue, Guangwei Yuan, Mesh conditions of the preserving-maximum-principle linear finite volume element method for anisotropic diffusion-convection-reaction equations, Acta Mathematicae Applicatae Sinica, English Series, 39(3), 1-26, 2023.
[19] Guofang Chen, Junliang Lv, Xinye Zhang, Finite volume element method for nonlinear elliptic equations on quadrilateral meshes. Computers and Mathematics with Applications, 140, 154–168, 2023.
[20] Dan Wu, Junliang Lv, Lei Lin, Zhiqiang Sheng, A maximum-principle-preserving finite volume scheme for diffusion problems on distorted meshes. Advances in Applied Mathematics and Mechanics, 15(4), 1076-1108, 2023.
[21] Lei Lin, Junliang Lv, Dan Wu, Error estimate of the cell-centered nonlinear positivity-preserving two-point flux approximation schemes, Computers and Mathematics with Applications, 137, 1-13, 2023.
[22] Dan Wu, Junliang Lv and Hao Qian, Parallel domain decomposition schemes based on finite volume element discretization for nonsteady-state diffusion equations on distorted meshes, Computers and Mathematics with Applications, 112, 97-115, 2022.
[23] Xue Jiang, Peijun Li, Junliang Lv, Zhoufeng Wang, Haijun Wu and Weiying Zheng, An adaptive edge finite element DtN method for Maxwell’s equations in biperiodic structures, IMA Journal of Numerical Analysis, 42(3), 2794-2828, 2022.
[24] Xiang Wang, Junliang Lv and Yonghai Li, New superconvergent structures developed from the finite volume element method in 1D, Mathematics of Computation, 90(329), 1179–1205, 2021.
[25] Dan Wu, Jingyan Yue, Guangwei Yuan and Junliang Lv, Finite volume element approximation for nonlinear diffusion problems with degenerate diffusion coefficients, Applied Numerical Mathematics, 140, 23-47, 2019.
[26] Xue Jiang, Peijun Li, Junliang Lv and Weiying Zheng, Convergence of the PML solution for elastic wave scattering by biperiodic structures, Communications in Mathematical Sciences, 16(4), 987-1016, 2018.
[27] Junliang Lv, Guangwei Yuan and Jingyan Yue, Nonnegarivity-preserving repair techniques for the finite element solutions of degenerate nonlinear parabolic problems, Numerical Mathematics: Theory, Methods and Applications, 11(3), 413-436, 2018.
[28] Mingming Zhang and Junliang Lv, Numerical method of profile reconstruction for a periodic transmission problem from single-sided data, Communications in Computational Physics, 24(2), 435-453, 2018.
[29] Xue Jiang, Peijun Li, Junliang Lv and Weiying Zheng, An adaptive finite element PML method for the elastic wave scattering problem in periodic structures, ESAIM: Mathematical Modelling and Numerical Analysis, 51(5), 2017-2047, 2017.
[30] Xue Jiang, Peijun Li, Junliang Lv and Weiying Zheng, An adaptive finite element method for the wave scattering with transparent boundary condition, Journal of Scientific Computing, 72(3), 936-956, 2017.
[31] Yanni Gao, Junliang Lv and Lanhui Zhang, Mixed finite volume element method for elliptic problems on non-matching multiblock triangular grids, International Journal of Numerical Analysis and Modeling, 14(3), 456-476, 2017.
[32] Xiukun Zhao, Yanli Chen and Junliang Lv, A mixed nonoverlapping covolume method on quadrilateral grids for elliptic problems, Journal of Computational and Applied Mathematics, 292, 23-40, 2016.
[33] Gang Bao, Peijun Li and Junliang Lv, Numerical solution of an inverse diffraction grating problem from phaseless data, Journal of the Optical Society of America A, 30(3), 293-298, 2013.
[34] Junliang Lv, Yonghai Li, Optimal biquadratic finite volume element methods on quadrilateral meshes, SIAM Journal on Numerical Analysis, 50(5), 2379-2399, 2012.
[35] Junliang Lv, Yonghai Li, L^2 error estimates and superconvergence of the finite volume element methods on quadrilateral meshes, Advances in Computational Mathematics, 37(3), 393-416, 2012.
[36] Junliang Lv, Yonghai Li, L^2 error estimate of the finite volume element methods on quadrilateral meshes, Advances in Computational Mathematics, 33(2), 129-148, 2010.
