Inverse problems and microlocal analysis
Inverse Scattering at fixed energy for stratified media
Inverse scattering for the one-dimensional Stark effect and application to the cylindrical KdV equation
Inverse scattering problem for moving obstacles.
Inverse scattering problem for the Maxwell equations outside moving body
Inverse scattering problems in several dimensions
Inverse scattering theory for Dirac operators
Inverse scattering via nonlinear integral equations method for a sound-soft crack with phaseless data
We consider the inverse scattering of time-harmonic plane waves to reconstruct the shape of a sound-soft crack from a knowledge of the given incident field and the phaseless data, and we check the invariance of far field data with respect to translation of the crack. We present a numerical method that is based on a system of nonlinear and ill-posed integral equations, and our scheme is easy and simple to implement. The numerical implementation is described and numerical examples are presented to...
Inverse spectral problem for the Schrödinger operator with periodic magnetic and electric potentials
Isolation and simplicity for the first eigenvalue of the -Laplacian with a nonlinear boundary condition.
Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients
Estimates for the combined effect of boundary approximation and numerical integration on the approximation of (simple) eigenvalues and eigenvectors of 4th order eigenvalue problems with variable/constant coefficients in convex domains with curved boundary by an isoparametric mixed finite element method, which, in the particular case of bending problems of aniso-/ortho-/isotropic plates with variable/constant thickness, gives a simultaneous approximation to bending moment tensor field and displacement...
Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients
Estimates for the combined effect of boundary approximation and numerical integration on the approximation of (simple) eigenvalues and eigenvectors of 4th order eigenvalue problems with variable/constant coefficients in convex domains with curved boundary by an isoparametric mixed finite element method, which, in the particular case of bending problems of aniso-/ortho-/isotropic plates with variable/constant thickness, gives a simultaneous approximation to bending moment tensor field and displacement...
Isoperimetric inequalities for some nonlinear eigenvalue problems.
Iterations of concave maps, the Perron-Frobenius theory, and applications to circle packings.