3 citations · 3 across the 7 of their papers we have counts for
7 papers
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…
Attached and separated rotating flow over a finite height ridge
Stefan Frei, Erik Burman, Edward R Johnson
This paper discusses the effect of rotation on the boundary layer in high Reynolds number flow over a ridge using a numerical method based on stabilised finite elements that captur…
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…
A primal dual mixed finite element method for inverse identification of the diffusion coefficient and its relation to the Kohn-Vogelius penalty method
Erik Burman
We revisit the celebrated Kohn-Vogelius penalty method and discuss how to use it for the unique continuation problem where data is given in the bulk of the domain. We then show tha…
Data assimilation finite element method for the linearized Navier-Stokes equations with higher order polynomial approximation
Erik Burman, Deepika Garg, Janosch Preuss
In this article, we design and analyze an arbitrary-order stabilized finite element method to approximate the unique continuation problem for laminar steady flow described by the l…
The augmented Lagrangian method as a framework for stabilised methods in computational mechanics
Erik Burman, Peter Hansbo, Mats G. Larson
In this paper we will review recent advances in the application of the augmented Lagrange multiplier method as a general approach for generating multiplier--free stabilised methods…