45 citations · 298 across the 36 of their papers we have counts for
7 papers · 1 filter
Space time stabilized finite element methods for a unique continuation problem subject to the wave equation
Erik Burman, Ali Feizmohammadi, Arnaud Munch +1
We consider a stabilized finite element method based on a spacetime formulation, where the equations are solved on a global (unstructured) spacetime mesh. A unique continuation pro…
The Light Ray transform in Stationary and Static Lorentzian geometries
Ali Feizmohammadi, Joonas Ilmavirta, Lauri Oksanen
Given a Lorentzian manifold, the light ray transform of a function is its integrals along null geodesics. This paper is concerned with the injectivity of the light ray transform on…
Recovery of zeroth order coefficients in non-linear wave equations
Ali Feizmohammadi, Lauri Oksanen
This paper is concerned with the resolution of an inverse problem related to the recovery of a scalar (potential) function from the source to solution map, of the semi-linear e…
An inverse problem for a semi-linear elliptic equation in Riemannian geometries
Ali Feizmohammadi, Lauri Oksanen
We study the inverse problem of unique recovery of a complex-valued scalar function , defined over a smooth compact Riemannian manifold…
Recovery of non-smooth coefficients appearing in anisotropic wave equations
Ali Feizmohammadi, Yavar Kian
We study the problem of unique recovery of a non-smooth one-form and a scalar function from the Dirichlet to Neumann map, , of a hyperbolic equat…
A fully discrete numerical control method for the wave equation
Erik Burman, Ali Feizmohammadi, Lauri Oksanen
We present a fully discrete finite element method for the interior null controllability problem subject to the wave equation. For the numerical scheme, piece-wise affine continuous…
Recovery of time dependent coefficients from boundary data for hyperbolic equations
Ali Feizmohammadi, Joonas Ilmavirta, Yavar Kian +1
We study uniqueness of the recovery of a time-dependent magnetic vector-valued potential and an electric scalar-valued potential on a Riemannian manifold from the knowledge of the…