Book:

  1. J. Sun and A. Zhou, Finite Element Methods for Eigenvalue Problems, CRC Press, 2016.

Edited Issue:

  1. A. Lechleiter and J. Sun, Special issue: Scattering and inverse scattering problems, Appl. Anal. 96 (2017), no. 1.

Papers:

  1. 1. S. Brenner, J. Sun and L. Sung, Hodge decomposition methods for a quad-curl problem on planar domains, Journal of Scientific Computing, accepted.

  1. 2. R. Zhang, J. Sun and C. Zheng, Reconstruction of a penetrable obstacle in periodic waveguides, submitted.

  1. 3. R. Zhang and J. Sun, The reconstruction of obstacles in a waveguides using finite elements, Journal of Computational Mathematics, accepted.

  1. 4. F. Zeng, X. Liu, J. Sun and L. Xu, Reciprocity gap method for an interior inverse scattering problem, Journal of Inverse and Ill-posed Problems, Vol. 25, Iss. 1, 57-68, 2017.

  1. 5. R. Huang, A. Struthers, J. Sun and R. Zhang, Recursive integral method for transmission eigenvalues, Journal of Computational Physics, Vol. 327, 830-840, 2016. preprint

  1. 6. F. Zeng, X. Liu, J. Sun and L. Xu, The reciprocity gap method for a cavity in an inhomogeneous medium, Inverse Problems and Imaging, Vol. 10, Iss. 3, 855-868, 2016. preprint

  1. 7. F. Zeng, J. Sun and L. Xu, A spectral projection method for transmission eigenvalue problem, Science China Mathematics, Vol. 59, Iss. 8, 1613-1622, 2016. preprint

  1. 8. X. Ji, H. Geng, J. Sun and L. Xu, C0IP method for the transmission eigenvalue problem, Journal of Scientific Computing, Vol. 68, Iss. 1, 326-338, 2016. preprint

  1. 9. X. Ji, H. Geng, J. Sun and L. Xu, C0IP for a fourth order eigenvalue problem, Communication in Computational Physics, Vol. 19, Iss. 2, 393-410, 2016. preprint

  1. 10. J. Sun, A mixed FEM for the quad-curl eigenvalue problem, Numerische Mathematik, Vol. 132, no 1, 185-200, 2016. preprint

  1. 11. S.C. Brenner, P. Monk and J. Sun, C0 interior penalty Galerkin method for biharmonic eigenvalue problems, Spectral and High Order Methods for Partial Differential Equations, Lect. Notes Comput. Sci. Eng. 106, 3-15, 2015. preprint

  1. 12. R. Zhang and J. Sun, An efficient finite element method for grating profile reconstruction, Journal of Computational Physics, Vol. 302 (2015), 405-419.

  1. 13. F. Zeng, T. Turner and J. Sun, Some results on on electromagnetic transmission eigenvalues, Math. Methods Appl. Sci., Vol. 38 (2015), Iss. 1, 155-163. preprint

  1. 14. F. Cakoni, P. Monk and J. Sun, Error analysis of the finite element approximation of transmission eigenvalues, Comput. Methods Appl. Math., Vol. 14 (2014), Iss. 4, 419-427. preprint

  1. 15. X. Ji, J. Sun and Y. Yang, Optimal penalty parameter for C0 IPDG , Appl. Math. Lett., 37(2014), 112-117. preprint

  1. 16. X. Liu and J. Sun, Reconstruction of Neumann eigenvalues and the support of a sound hard obstacle, Inverse Problems, 30 (2014), No. 6, 065011. preprint

  1. 17. I. Harris, F. Cakoni and J. Sun, Transmission eigenvalues and non-destructive testing of anisotropic magnetic materials with voids, Inverse Problems, 30 (2014), No. 3, 035016. preprint

  1. 18. X. Ji, J. Sun and H. Xie, A multigrid method for Helmholtz transmission eigenvalue problems, J. Sci. Comput., Vol. 60 (2014), Iss. 3, 276-294.

  1. 19. X. Ji and J. Sun, A multi-level method for transmission eigenvalues of anisotropic media, Journal of Computational Physics, Vol. 255 (2013), 422-435. preprint

  1. 20. J. Sun and L. Xu, Computation of the Maxwell’s transmission eigenvalues and its application in inverse medium problems, Inverse Problems, 29 (2013), 104013. preprint

  1. 21. J. Sun and C. Zheng, Reconstruction of obstacles embedded in waveguides, Contemporary Mathematics, Vol. 586, 2013, 341-351. preprint

  1. 22. F. Zeng, P. Suarez and J. Sun, A decomposition method for an interior inverse scattering problem, Inverse Problems and Imaging, Vol. 7(2013), Iss. 1, 291-303. preprint

  1. 23. J. Li, Z. Zeng, J. Sun and F. Liu, Through-wall detection of human being's movement by UWB radar, IEEE Geoscience and Remote Sensing Letters, Vol.9 (2012) Iss. 6 1079-1083.

  1. 24. J. Sun, An eigenvalue method using multiple frequency data for inverse scattering problems , Inverse Problems, 28 (2012), 025012. preprint

  1. 25. P. Monk and J. Sun, Finite element methods of Maxwell transmission eigenvalues, SIAM J. on Scientific Computing, 34(3), B247-B264, 2012. preprint

  1. 26. X. Ji, J. Sun and T. Turner, A mixed finite element method for Helmholtz Transmission eigenvalues, ACM Transaction on Math. Soft., Vol. 38 (2012), No.4, Algorithm 922. preprint

  1. 27. F. Cakoni, M. Di Cristo and J. Sun, A multistep reciprocity gap functional method for imaging of buried objects in layered medium, Complex Var. Elliptic Equ., Vol. 57 (2012), Issue 2-4, 261-276. preprint

  1. 28. J. Sun, A new family of high regularity elements, Numer. Methods Partial Differential Equations, Vol. 28 (2012), Iss. 1, 1-16. preprint

  1. 29. F. Zeng, F. Cakoni and J. Sun, An inverse electromagnetic scattering problem for cavity, Inverse Problems, 27 (2011), 125002. preprint

  1. 30. J. Sun, Iterative methods for transmission eigenvalues, SIAM J. Numer. Anal., Vol. 49(2011), No. 5, 1860-1874. preprint

  1. 31. G. Hsiao, F. Liu, J. Sun and X. Li, A coupled BEM and FEM for the interior transmission problem in acoustics, J. of Comp. and Applied Math., Vol. 235 (2011), Iss. 17, 5213-5221. preprint

  1. 32. C. Bacuta, J. Sun and C. Zheng, Partition of unity refinement for local approximations, Numer. Methods Partial Differential Equations, Vol 27 (2011), Iss. 4, 803-817. preprint

  1. 33. J. Sun, Estimation of transmission eigenvalues and the index of refraction from Cauchy data, Inverse Problems, 27 (2011), 015009. preprint

  1. 34. F. Cakoni, D. Colton, P. Monk and J. Sun, The inverse electromagnetic scattering problem for anisotropic media, Inverse Problems, 26 (2010), 074004.

  1. 35. D. Colton, P. Monk and J. Sun, Analytical and computational methods for transmission eigenvalues, Inverse Problems, 26 (2010) No. 4, 045011. preprint

  1. 36. M. Ehrhardt, J. Sun and C. Zheng, Evaluation of scattering operators for semi-infinite periodic arrays, Commun. Math. Sci., Vol. 7 (2009), Iss. 2, 347-364.

  1. 37. Z. Zeng, F. Wu, L. Huang, F. Liu and J. Sun, The adaptive chirplet transform and its application in GPR target detection, Applied Geophysics, Vol.6 (2009), No.2, 192-200.

  1. 38. J. Sun and C. Zheng, Numerical scattering analysis of TE plane waves by a metallic diffraction grating with local defects, J. Opt. Soc. Am. A, Vol. 26, Iss. 1, 2009, 156-162.

  1. 39. W. Cai, X. Ji, J. Sun and S. Shao, A Schwarz generalized eigen-oscillation spectral element method (GeSEM) for 2-D high frequency electromagnetic scattering in dispersive inhomogeneous media, J. Comput. Phys., Vol. 227 (2008), 9933-9954.

  1. 40. Z. Zeng, L. Huang, S. Liu, F. Liu and J. Sun, The very low-frequency step-frequency GPR system and its application to active fault detection, Near Surface Geophysics, Vol. 6 (2008), No. 3, 167-172.

  1. 41. P. Monk and J. Sun, Inverse scattering using finite elements and gap reciprocity, Inverse Problems and Imaging, Vol. 1 (2007), No. 4, 643-660.

  1. 42. M. Di Cristo and J. Sun, The determination of the support and surface conductivity of a partially coated buried object, Inverse Problems, 23 (2007), 1161-1179.

  1. 43. P. Monk and J. Sun, Analysis of an eddy current and micromagnetic model, Applicable Analysis, Vol. 85 (2006), No. 12, 2006, 1509-1525.

  1. 44. M. Di Cristo and J. Sun, An inverse scattering problem for a partially coated buried obstacle , Inverse Problems, Vol. 22 (2006), No. 6, 2331-2350.

  1. 45. J. Sun and P. Monk, An adaptive algebraic multigrid algorithm for micromagnetism, IEEE Transaction on Magnetics, Vol. 42, Iss. 6, 2006, 1643-1647.

  1. 46. J. Sun, F. Collino, P. Monk and L. Wang, An eddy-current and micromagnetism model with applications to disk write heads, Int. J. Numer. Meth. Engng, Vol. 60, 2004, 1673 - 1698.

  1. 47. Z. Zeng, J. Sun, J. Li, F. Liu, Q. Lu, X. Chen, The analysis of TWI data for human being's periodic motions, Geoscience and Remote Sensing Symposium (IGARSS), IEEE International, 2011, 862-865.

  1. 48. C. Bacuta and J. Sun, Notes on the Schwarz Alternating Method for Partition of Unity FEM, DCDIS A Supplement, (S1), 2009, 15-21. preprint

  1. 49. C. Bacuta and J. Sun, Partition of Unity FEM Implementation for Poisson Equation,Advances in Applied and Computational Mathematics, Nova Science, 2006, 35-46.