Papers
Preprint
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.
Y. Wang, P. Li, L. Xu, T. Yin, On an adaptive Dirichlet-to-Neumann finite element method for solving the thermo/poro-elastic scattering problems.
G. Bao, O.P. Bruno, S. Pan, T. Yin, Multi-patch/multiple-scattering frequency-time hybrid solver for interior and exterior wave equation problems.
X. Liu, M. Li, T. Yin, On a Robin-type non-singular coupling scheme for solving the wave scattering problems, submitted.
X. Liu, M. Li, T. Yin, S. Zhang, A coupling method of finite element and boundary integral equation by a nonsingular Dirichlet-to-Dirichlet map for the exterior Stokes problem, Advances in Computational Mathematics, in revision.
Accepted and published
G. Bao, W. Lu, T. Yin, L. Zhang, A highly accurate PML-BIE solver for electromagnetic scattering problem in a multi-layered medium, to appear in SIAM Journal on Scientific Computing.
Y. Chang, Y. Guo, T. Yin, Y. Zhao, Mathematical and numerical study of an inverse source problem for the biharmonic wave equation, to appear in Inverse Problems.
C. Jerez-Hanckes, J. Pinto, T. Yin, A spectral Galerkin method for problems of elastic wave scattering by multiple open arcs in two dimensions, to appear in Communications in Mathematical Sciences.
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 equation with internal data, Journal of Computational Mathematics 41 (2023) 483-502.
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 problems, CSIAM Transaction on Applied Mathmatics 3 (2022) 601-625.
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.
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 the 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 the 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 (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 (2018) 263-301.
T. Yin, A. Rathsfeld, L. Xu, A BIE-based DtN-FEM for fluid-solid interaction problems, Journal of Computational Mathematics 36 (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 Fourier-series-based DtN-FEM for the transmission problems in acoustics, Journal of Computational and Applied Mathematics 313(15) (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 (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 (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 (2016) 103-129.
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