Research Interests:

Partial Differential Equations Theory

Integral Equations Theory

Inverse Problems

Scholarly Work:

An inverse problem for the time harmonic Maxwell's equations - 2001

Guided modes in periodic slabs: existence and nonexistence - 2001

Guided modes in periodic slabs: existence and nonexistence.(English summary) - 2001

Accurate and efficient boundary integral methods for electrified liquid bridge problems - 2002

Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter - 2003

Detection and classification from electromagnetic induction data - 2003

MR1860816 (2003b: 78002) 78A25 (78A46) - 2003

Target detection and characterization from electromagnetic induction data - 2003

Spreading speed and travelling wave solutions of a partially sedentary population - 2005

Asymptotic formulas for thermography based recovery of anomalies - 2005

An all-frequency weakly-singular surface integral equation for electromagnetism in dielectric media: Reformulation and well-posedness analysis - 2005

Wave Motion - 2005

Ammari, Habib (F-POLY-AM); Vogelius, Michael S.[Vogelius, Michael Steenstrup](1-RTG) - 2006

Detecting tangential dislocations on planar faults from traction free surface observations - 2006

Existence of frequency modes coupling seismic waves and vibrating tall buildings - 2006

Earth surface effects on active faults: An eigenvalue asymptotic analysis - 2007

Correction of order three for the expansion of two dimensional electromagnetic fields perturbed by the presence of inhomogeneities of small diameter - 2007

Existence of guided modes on periodic slabs - 2008

Chauviere, C., 607 Chen, R.-C., 579 Chen, X., 557 - 2008

An eigenvalue problem for elastic cracks in free space - 2008

A double layer surface traction free Green's tensor - 2009

Preferred frequencies for coupling of seismic waves and vibrating tall buildings - 2009

Eigenvalue analysis of surface displacements due to active faults - 2009

Recovery of active faults from surface displacement fields. - 2009

Highly accurate computations of slip eigenmodes for faults in half space - 2010

The leading-order term in the asymptotic expansion of the scattering amplitude of a collection of finite number of dielectric inhomogeneities of small diameter - 2011

An inverse problem for faults in elastic half space - 2011

Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter - 2012

Numerical methods for locating small dielectric inhomogeneities - 2012

Asymptotic formulas for perturbations in the eigenfrequencies of the full Maxwell equations due to the presence of imperfections of small diameter - 2014

Scattering by a perfect conductor in a waveguide: energy-preserving schemes for integral equations - 2014

Faults in elastic half space: Direct and inverse problem - 2015

A NUMERICAL BOUNDARY EIGENVALUE PROBLEM FOR ELASTIC CRACKS IN FREE AND HALF SPACE. - 2015

An inverse problem for the recovery of active faults from surface observations - 2015

Professional Highlights & Honors:

Principal Investigator, “The Fault Inverse Problem”

2006

NSF DMS