70 citations · 550 across the 84 of their papers we have counts for
3 papers · 2 filters
Primal dual mixed finite element methods for the elliptic Cauchy problem
Erik Burman, Mats. G. Larson, Lauri Oksanen
We consider primal-dual mixed finite element methods for the solution of the elliptic Cauchy problem, or other related data assimilation problems. The method has a local conservati…
Unique continuation for the Helmholtz equation using stabilized finite element methods
Erik Burman, Mihai Nechita, Lauri Oksanen
In this work we consider the computational approximation of a unique continuation problem for the Helmholtz equation using a stabilized finite element method. First conditional sta…
Fully discrete finite element data assimilation method for the heat equation
Erik Burman, Jonathan Ish-Horowicz, Lauri Oksanen
We consider a finite element discretization for the reconstruction of the final state of the heat equation, when the initial data is unknown, but additional data is given in a sub…