Published Papers and Preprints

  • T. Yin, W. Zheng, L. Zhang, X. Zhu, Helmholtz decomposition based windowed Green function methods for elastic scattering problems on a half-space, submitted.

  • C. Jerez-Hanckes, J. Pinto, T. Yin, A spectral Galerkin method for problems of elastic wave scattering by multiple open arcs in two dimensions, submitted.

  • 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.

  • O.P. Bruno, T. Yin, Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains, Mathematics of Computation (2023) DOI: https:doi.org10.1090mcom/3872.

  • 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), 中国科学-数学 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.

Working Papers

  • G. Bao, O.P. Bruno, T. Yin, Multiple-scattering frequency-time hybrid integral equation solver for the wave equation problems with bounded obstacles.

  • G. Bao, W. Lu, T. Yin, L. Zhang, A highly accurate perfectly-matched-layer boundary integral equation solver for electromagnetic layered-medium problems.

  • On the Dirichlet-to-Neumann finite element method for solving two-dimensional thermo/poro-elastic scattering problems.

  • On the generalized Huygen's principle for the wave equation boundary value problems.

  • Multiple-scattering frequency-time hybrid solver for the wave equation problem in multi-layered medium.