Papers

Submitted

  • S. Pan, T. Yin, L. Zhang, From multi-layered problems to multiple two-layered problems: a novel frequency-time hybrid multiple-scattering integral equation solver.

  • Y. Tan, C. Perez-Arancibia, T. Yin, A uniformly high-accuracy PML-BIE method for scattering by periodic arrays of obstacles: the 2D case.

  • L. Lin, T. Yin, An adaptive finite element method for nanoscale electromagnetic scattering problem.

  • Y. Tan, L. Xu, T. Yin, Frequency-robust windowed Green function method for the problems of acoustic wave scattering in a planar waveguide.

  • Y. Wang, T. Yin, Y. Zhao, Stability analysis of inverse source problems for the thermoelastic wave equation.

  • P. Li, Y. Wang, T. Yin, X. Yuan, An adaptive DtN-FEM for the thermo/poro-elastic wave scattering problems in three dimensions.

  • G. Bao, T. Yin, L. Zhang, Y. Zhao, Boundary integral equation method for the electrokinetic problem: uniqueness, regularization and highly accurate solver.

Accepted and published

  • (40) C. Liu, G. Hu, T. Yin ,B. Zhang, Factorization method for near-field inverse scattering problems in elastodynamics, Inverse Problems and Imaging 23 (2026) 51-69.

  • (39) 殷涛, 多重散射的积分方程方法研究, 中国基础科学.

  • (38) Y.X. Kong, J. Pinto, T. Yin, Regularized boundary integral equation methos for open-arc scattering problems in thermoelasticity, SIAM Journal on Applied Mathematics 86(4) (2026) 1728-1755.

  • (37) S. Pan, G. Bao, T. Yin, O.P. Bruno, Multi-patchmultiple-scattering frequency-time hybrid solver for interior and exterior wave equation problems, Mathematics of Computation, DOI: https:doi.org10.1090mcom4164.

  • (36) T. Anderson, M. Lyon, T. Yin, O.P. Bruno, Can Efficient Fourier-Transform Techniques Favorably Impact on Broadband Computational Electromagnetism?: Compelling Evidence and Implications for Next-Generation Solvers, IEEE Antennas and Propagation Magazine 68(3) (2026) 12-24.

  • (35) J. Liang, M. Li, T. Yin, On the direct and inverse electromagnetic scattering in a parallel-plate waveguide, Journal of Differential Equations 468 (2026) 114320.

  • (34) X. Liu, M. Li, J. Wang, T. Yin, On a Robin-type non-singular coupling scheme for solving the wave scattering problems, Journal of Computational and Applied Mathematics 473 (2026) 116896.

  • (33) Y. Wang, P. Li, L. Xu, T. Yin, An adaptive Dirichlet-to-Neumann finite element method for the thermoelastic scattering problem, Journal of Computational Physics 534 (2025) 114016.

  • (32) X. Liu, M. Li, T. Yin, S. Zhang, A nonsingular-kernel Dirichlet-to-Dirichlet mapping method for the exterior Stokes problem, Advances in Computational Mathematics 51(1) (2025) 2.

  • (31) T. Yin, L. Zhang, Efficient integral equation solvers for layered-medium scattering problems, Philosophical Transactions of the Royal Society A 383 (2025) 20240343.

  • (30) Y. Chang, Y. Guo, T. Yin, Y. Zhao, Mathematical and numerical study of an inverse source problem for the biharmonic wave equation, Inverse Problems 11 (2024) 115011.

  • (29) C. Jerez-Hanckes, J. Pinto, T. Yin, Spectral Galerkin method for solving elastic wave scattering problems with multiple open arcs, Communications in Mathematical Sciences 22(7) (2024) 1839-1862.

  • (28) G. Bao, W. Lu, T. Yin, L. Zhang, A highly accurate PML-BIE solver for electromagnetic scattering problem in a multilayered medium, SIAM Journal on Scientific Computing 46(6) (2024) A3849-A3872.

  • (27) T. Yin, L. Zhang, X. Zhu, Helmholtz decomposition based windowed Green function methods for elastic scattering problems on a half-space, Journal of Computational Physics 502 (2024) 112818.

  • (26) O.P. Bruno, T. Yin, Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains, Mathematics of Computation 93(346) (2024) 551-587.

  • (25) X. Jiang, M. Lyu, T. Yin, W. Zheng, A PML method for signal-propagation problems in axon, SIAM Journal on Applied Mathematics 83(5) (2023) 1785-1805.

  • (24) W. Lu, L. Xu, T. Yin, L. Zhang, A highly accurate perfectly-matched-layer boundary integral equation solver for acoustic layered-medium problems, SIAM Journal on Scientific Computing 45(4) (2023) B523-B543.

  • (23) F. Triki, T. Yin, Inverse conductivity equation with internal data, Journal of Computational Mathematics 41 (2023) 483-502.

  • (22) L. Zhang, L. Xu, T. Yin, Regularized hyper-singular boundary integral equation methods for three-dimensional poroelastic problems, Journal of Computational Physics 468 (2022) 111492.

  • (21) L. Xu, T. Yin, On the generalized elastic Calderon formulas for closed- and open-surface problems, CSIAM Transaction on Applied Mathmatics 3 (2022) 601-625.

  • (20) L. Zhang, L. Xu, T. Yin, An accurate hyper-singular boundary integral equation method for dynamic poroelasticity in two dimensions, SIAM Journal on Scientific Computing 43(3) (2021) B784-B810.

  • (19) L. Xu, T. Yin, Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods, Numerische Mathematik 147(4) (2021) 967-996.

  • (18) O.P. Bruno, L. Xu, T. Yin, Weighted integral solvers for the elastic scattering by open arcs in two dimensions , International Journal for Numerical Methods in Engineering 122(11) (2021) 2733-2750.

  • (17) O.P. Bruno, T. Yin, A Windowed Green Function method for elastic scattering problems on a half-space, Computer Methods in Applied Mechanics and Engineering 376 (2021) 113651.

  • (16) G. Hu, A. Mantile, M. Sini, T. Yin, Direct and inverse time-harmonic elastic scattering from point-like and extended obstacles, Inverse Problems and Imaging 14(6) (2020) 1025-1056.

  • (15) O.P. Bruno, T. Yin, Regularized integral equation methods for the elastic scattering problems in three dimensions, Journal of Computational Physics 410 (2020) 109350.

  • (14) G. Bao, L. Xu, T. Yin, Boundary integral equation methods for the elastic and thermoelastic waves in three dimensions, Computer Methods in Applied Mechanics and Engineering 354 (2019) 464-486.

  • (13) G. Bao, T. Yin, F. Zeng, Multifrequency iterative methods for the inverse medium scattering problems in elasticity, SIAM Journal on Scientific Computing 41(4) (2019) B721-B745.

  • (12) G. Bao, G. Hu, T. Yin, Time-harmonic acoustic scattering from locally perturbed half-planes, SIAM Journal on Applied Mathematics 78(5) (2018) 2672-2691.

  • (11) G. Bao, G. Hu, Y. Kian, T. Yin, Inverse source problems in elastodynamics, Inverse Problems 34 (2018) 045009.

  • (10) G. Bao, G. Hu, J. Sun, T. Yin, Direct and inverse elastic scattering from anisotropic media, Journal de Mathematiques Pures et Appliquees 117 (2018) 263-301.

  • (9) T. Yin, A. Rathsfeld, L. Xu, A BIE-based DtN-FEM for fluid-solid interaction problems, Journal of Computational Mathematics 36 (2018) 47-69.

  • (8) T. Yin, G. C. Hsiao, L. Xu, Boundary integral equation methods for the two dimensional fluid-solid interaction problem, SIAM Journal on Numerical Analysis 55-5 (2017) 2361-2393.

  • (7) G. Bao, L. Xu, T. Yin, An accurate boundary element method for the exterior elastic scattering problem in two dimensions, Journal of Computational Physiscs 348 (2017) 343-363.

  • (6) 包刚, 殷涛, 弹性波正反散射问题研究进展, 中国科学-数学 47 (2017) 1103-1118.

  • (5) H. Geng, T. Yin, L. Xu, A priori error estimates of the Fourier-series-based DtN-FEM for the transmission problems in acoustics, Journal of Computational and Applied Mathematics 313(15) (2017) 1-17.

  • (4) T. Yin, G. Hu, L. Xu, Near-field imaging point-like scatterers and extended elastic solid in a fluid, Communications in Computational Physics 19(5) (2016) 1317-1342.

  • (3) T. Yin, G. Hu, L. Xu, B. Zhang, Near-field imaging of obstacles with the factorization method: Fluid-solid interaction, Inverse Problems 32 (2016) 015003.

  • (2) G. Hu, A. Rathsfeld, T. Yin, Finite element method to fluid-solid interaction problems with unbounded periodic interfaces, Numerical Methods for Partial Differential Equations 32 (2016) 5-35.

  • (1) G. Hu, A. Kirsch, T. Yin, Factorization method in inverse interaction problems with bi-periodic interfaces between acoustic and elastic waves, Inverse Problems and Imaging 10 (2016) 103-129.