70 citations · 550 across the 84 of their papers we have counts for
8 papers · 1 filter
Optimal finite element approximation of unique continuation
Erik Burman, Mihai Nechita, Lauri Oksanen
We consider finite element approximations of ill-posed elliptic problems with conditional stability. The notion of {\emph{optimal error estimates}} is defined including both conver…
Introduction to inverse problems for hyperbolic PDEs
Medet Nursultanov, Lauri Oksanen
There are two main approaches to solve inverse coefficient determination problems for wave equations: the Boundary Control method and an approach based on geometric optics. These n…
Determining Lorentzian manifold from non-linear wave observation at a single point
Medet Nursultanov, Lauri Oksanen, Leo Tzou
We consider an inverse problem for a non-linear hyperbolic equation. We show that conformal structure of a Lorentzian manifold can be determined by the source-to-solution map evalu…
Stable recovery of coefficients in an inverse fault friction problem
Maarten V. de Hoop, Matti Lassas, Jinpeng Lu +1
We consider the inverse fault friction problem of determining the friction coefficient in the Tresca friction model, which can be formulated as an inverse problem for differential…
Rigidity of inverse problems for nonlinear elliptic equations on manifolds
Ali Feizmohammadi, Yavar Kian, Lauri Oksanen
We consider the inverse problem of determining coefficients appearing in semilinear elliptic equations stated on Riemannian manifolds with boundary given the knowledge of the assoc…
Quantum computing algorithms for inverse problems on graphs and an NP-complete inverse problem
Joonas Ilmavirta, Matti Lassas, Jinpeng Lu +2
We consider an inverse problem for a finite graph where we are given a subset of vertices and the distances of all vertices …
Finite element approximation of unique continuation of functions with finite dimensional trace
Erik Burman, Lauri Oksanen
We consider a unique continuation problem where the Dirichlet trace of the solution is known to have finite dimension. We prove Lipschitz stability of the unique continuation probl…
Disjoint data inverse problem on manifolds with quantum chaos bounds
Matti Lassas, Medet Nursultanov, Lauri Oksanen +1
We consider the inverse problem to determine a smooth compact Riemannian manifold from a restriction of the source-to-solution operator, , for the wave e…