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 halfspace, submitted.
C. JerezHanckes, 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 signalpropagation problems in axon, SIAM Journal on Applied Mathematics 83(5) (2023) 17851805.
O.P. Bruno, T. Yin, Multiplescattering frequencytime 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 perfectlymatchedlayer boundary integral equation solver for acoustic layeredmedium problems, SIAM Journal on Scientific Computing 45(4) (2023) B523B543.
F. Triki, T. Yin, Inverse conductivity equation with internal data, Journal of Computational Mathematics 41 (2023) 483502.
L. Zhang, L. Xu, T. Yin, Regularized hypersingular boundary integral equation methods for threedimensional poroelastic problems, Journal of Computational Physics 468 (2022) 111492.
L. Xu, T. Yin, On the generalized elastic Calderon formulas for closed and opensurface problems, CSIAM Transaction on Applied Mathmatics 3 (2022) 601625.
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) B784B810.
L. Xu, T. Yin, Analysis of the Fourier series DirichlettoNeumann boundary condition of the Helmholtz equation and its application to finite element methods, Numerische Mathematik 147(4) (2021) 967996.
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) 27332750.
O.P. Bruno, T. Yin, A Windowed Green Function method for elastic scattering problems on a halfspace, Computer Methods in Applied Mechanics and Engineering 376 (2021) 113651.
G. Hu, A. Mantile, M. Sini, T. Yin, Direct and inverse timeharmonic elastic scattering from pointlike and extended obstacles, Inverse Problems and Imaging 14(6) (2020) 10251056.
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) 464486.
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) B721B745.
G. Bao, G. Hu, T. Yin, Timeharmonic acoustic scattering from locally perturbed halfplanes, SIAM Journal on Applied Mathematics 78(5) (2018) 26722691.
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) 263301.
T. Yin, A. Rathsfeld, L. Xu, A BIEbased DtNFEM for fluidsolid interaction problems, Journal of Computational Mathematics 36 (2018) 4769.
T. Yin, G. C. Hsiao, L. Xu, Boundary integral equation methods for the two dimensional fluidsolid interaction problem, SIAM Journal on Numerical Analysis 555 (2017) 23612393.
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) 343363.
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) 11031118.
H. Geng, T. Yin, L. Xu, A priori error estimates of the Fourierseriesbased DtNFEM for the transmission problems in acoustics, Journal of Computational and Applied Mathematics 313(15) (2017) 117.
T. Yin, G. Hu, L. Xu, Nearfield imaging pointlike scatterers and extended elastic solid in a fluid, Communications in Computational Physics 19(5) (2016) 13171342.
T. Yin, G. Hu, L. Xu, B. Zhang, Nearfield imaging of obstacles with the factorization method: Fluidsolid interaction, Inverse Problems 32 (2016) 015003.
G. Hu, A. Rathsfeld, T. Yin, Finite element method to fluidsolid interaction problems with unbounded periodic interfaces, Numerical Methods for Partial Differential Equations 32 (2016) 535.
G. Hu, A. Kirsch, T. Yin, Factorization method in inverse interaction problems with biperiodic interfaces between acoustic and elastic waves, Inverse Problems and Imaging 10 (2016) 103129.
Working Papers
G. Bao, O.P. Bruno, T. Yin, Multiplescattering frequencytime hybrid integral equation solver for the wave equation problems with bounded obstacles.
G. Bao, W. Lu, T. Yin, L. Zhang, A highly accurate perfectlymatchedlayer boundary integral equation solver for electromagnetic layeredmedium problems.
On the DirichlettoNeumann finite element method for solving twodimensional thermo/poroelastic scattering problems.
On the generalized Huygen's principle for the wave equation boundary value problems.
Multiplescattering frequencytime hybrid solver for the wave equation problem in multilayered medium.
