Publications

[1] A fast and high order method for the three-dimensional elastic wave scattering problem (with F. Bu and F. Reitich ), preprint.

[2] A semi-smooth Newton method for the optimal control of the heat equation with pointwise state inequality constraints (with V. Akcelik et al.), preprint.

[3] Resonances of a finite one-dimensional photonic crystal with a defect (with F. Santosa), submitted. [pdf]

[4] Near-field imaging of the surface displacement on an infinite ground plane (with G. Bao), Inverse Probl. Imag., to appear. [pdf]

[5] Imaging of reflective surfaces by near-field optics (with G. Bao), Opt. Lett., 37 (2012), 5027-5029. [pdf]

[6] Mode matching for the electromagnetic scattering from three dimensional large cavities (with G. Bao, J. Gao, and W. Zhang), IEEE Trans. Antennas Propag., 60 (2012), 2004-2010. [pdf]

[7] Imaging of local surface displacement on an infinite ground plane: the multiple frequency case (with G. Bao), SIAM J. Appl. Math., 71 (2011), 1733-1752. [pdf]

[8] An inverse source problem with multiple frequency data (with G. Bao and F. Triki), Comptes Rendus Mathematique, 349 (2011), 855-859. [pdf]

[9] Numerical solution of the inverse source problem for the Helmholtz equation with multiple frequency data (with G. Bao and F. Triki), Contemp. Math., AMS, 548 (2011), 45-60. [pdf]

[10] A multi-frequency inverse source problem (with G. Bao and F. Triki), J. Differential Equations, 249 (2010), 3443-3465. [pdf]

[11] A level set method to reconstruct the interface of discontinuity in conductivity (with W. Chen, J. Cheng, and L. Wang,), Sci. China Ser. A, 52 (2009), 29-44. [pdf]

[12] A uniqueness result and image reconstruction of the orthotropic conductivity in magnetic resonance electrical impedance tomography, J. Inverse Ill-posed Problems, 16 (2008), 381-396. [pdf]

[13] Stable determination of a boundary coefficient in an elliptic equation (with J. Cheng and M. Choulli), Math. Mod. Meth. Appl. Sci. (M3AS), 18 (2008), 107-123. [pdf]

Work in preparation

Numerical reconstruction of electromagnetic inclusions in three dimensions (with G. Bao and S. Mefire).