Papers
Preprint
Y. Kong, J. Pinto, T. Yin, Regularized boundary integral equation methods for open-arc scattering problems in thermoelasticity.
J. Liang, M. Li, T. Yin, Direct and inverse electromagnetic scattering in a parallel-plate waveguide.
Y. Tan, C. P'erez-Arancibia, T. Yin, Windowed Green function method for wave scattering in a planar acoustic waveguide when nearing cut-off frequencies.
G. Bao, O.P. Bruno, S. Pan, T. Yin, Multi-patch/multiple-scattering frequency-time hybrid solver for interior and exterior wave equation problems.
Z. Zheng, G. Pang, L. Chao, Z. Wang, T. Yin, A novel method of discretized Dirichlet-to-Dirichlet type absorbing boundary condition for solving the Helmholtz equation problem, submitted.
Y. Wang, P. Li, L. Xu, T. Yin, An adaptive Dirichlet-to-Neumann finite element method for the thermoelastic scattering problem, submitted.
T. Anderson, M. Lyon, T. Yin, O. P. Bruno, Can Efficient Fourier-Transform Techniques Favorably Impact on Broadband Computational Electromagnetism? submitted.
X. Liu, M. Li, T. Yin, On a Robin-type non-singular coupling scheme for solving the wave scattering problems, submitted.
Accepted and published
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.
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.
Y. Chang, Y. Guo, T. Yin, Y. Zhao, Analysis and computation of an inverse source problem for the biharmonic wave equation, Inverse Problems 40(11) (2024) 115011.
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.
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.
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.
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.
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.
F. Triki, T. Yin, Inverse conductivity problem with internal data, Journal of Computational Mathematics 41(3) (2023) 482-500.
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.
L. Xu, T. Yin, On the generalized elastic Calderon formulas for closed- and open-surface elastic scattering problems, CSIAM Transaction on Applied Mathmatics 3(4) (2022) 601-625.
L. Zhang, L. Xu, T. Yin, An accurate hypersingular boundary integral equation method for dynamic poroelasticity in two dimensions, SIAM Journal on Scientific Computing 43(3) (2021) B784-B810.
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.
O.P. Bruno, L. Xu, T. Yin, Weighted integral solvers for elastic scattering by open arcs in two dimensions , International Journal for Numerical Methods in Engineering 122(11) (2021) 2733-2750.
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.
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.
O.P. Bruno, T. Yin, Regularized integral equation methods for elastic scattering problems in three dimensions, Journal of Computational Physics 410 (2020) 109350.
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.
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.
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.
G. Bao, G. Hu, Y. Kian, T. Yin, Inverse source problems in elastodynamics, Inverse Problems 34(4) (2018) 045009.
G. Bao, G. Hu, J. Sun, T. Yin, Direct and inverse elastic scattering from anisotropic media, Journal de Mathematiques Pures et Appliquees 117(9) (2018) 263-301.
T. Yin, A. Rathsfeld, L. Xu, A BIE-based DtN-FEM for fluid-solid interaction problems, Journal of Computational Mathematics 36(1) (2018) 47-69.
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.
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.
G. Bao, T. Yin, Recent progress on the study of direct and inverse elastic scattering problems(in Chinese), ä¸å›½ç§‘å¦-æ•°å¦ 47 (2017) 1103-1118.
H. Geng, T. Yin, L. Xu, A priori error estimates of the DtN-FEM for the transmission problem in acoustics, Journal of Computational and Applied Mathematics 313 (2017) 1-17.
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.
T. Yin, G. Hu, L. Xu, B. Zhang, Near-field imaging of obstacles with the factorization method: fluid-solid interaction, Inverse Problems 32(1) (2016) 015003.
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(1) (2016) 5-35.
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(1) (2016) 103-129.
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