1 citations · 1 across the 7 of their papers we have counts for
7 papers
Convergence Analysis for the Recovery of the Friction Threshold in a Scalar Tresca Model
Erik Burman, Marvin Knöller, Lauri Oksanen +1
We consider a scalar valued elliptic partial differential equation on a sufficiently smooth domain , subject to a regularized Tresca friction-type boundary condition on a subset…
Unique continuation for the wave equation: the stability landscape
Erik Burman, Lauri Oksanen, Janosch Preuss +1
We consider a unique continuation problem for the wave equation given data in a volumetric subset of the space time domain. In the absence of data on the lateral boundary of the sp…
A Computational Method for the Inverse Robin Problem with Convergence Rate
Erik Burman, Marvin Knöller, Lauri Oksanen
The inverse Robin problem consists in determining the Robin parameter in an elliptic partial differential equation posed on a domain . In this work it is assumed that the right-…
Posterior contraction rates of computational methods for Bayesian data assimilation
Erik Burman, Mingfei Lu
In this paper, we analyze posterior consistency of a Bayesian data assimilation problem under discretization. We prove convergence rates for the discrete posterior to ground truth…
On inf-sup stability and optimal convergence of the quasi-reversibility method for unique continuation subject to Poisson's equation
Erik Burman, Mingfei Lu
In this paper, we develop a framework for the discretization of a mixed formulation of quasi-reversibility solutions to ill-posed problems with respect to Poisson's equations. By c…
Solving the unique continuation problem for Schrödinger equations with low regularity solutions using a stabilized finite element method
Erik Burman, Mingfei Lu, Lauri Oksanen
In this paper, we consider the unique continuation problem for the Schrödinger equations. We prove a Hölder type conditional stability estimate and build up a parameterized stabili…
Computational unique continuation with finite dimensional Neumann trace
Erik Burman, Lauri Oksanen, Ziyao Zhao
We consider finite element approximations of unique continuation problems subject to elliptic equations in the case where the normal derivative of the exact solution is known to re…