13 citations · 13 across the 2 of their papers we have counts for
5 papers
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…
A stabilized finite element method for inverse problems subject to the convection-diffusion equation. II: convection-dominated regime
Erik Burman, Mihai Nechita, Lauri Oksanen
We consider the numerical approximation of the ill-posed data assimilation problem for stationary convection-diffusion equations and extend our previous analysis in [Numer. Math. 1…
Benchmark for numerical solutions of flow in heterogeneous groundwater formations
Cristian D. Alecsa, Imre Boros, Florian Frank +5
This article presents numerical investigations on accuracy and convergence properties of several numerical approaches for simulating steady state flows in heterogeneous aquifers. F…
A stabilized finite element method for inverse problems subject to the convection-diffusion equation. I: diffusion-dominated regime
Erik Burman, Mihai Nechita, Lauri Oksanen
The numerical approximation of an inverse problem subject to the convection--diffusion equation when diffusion dominates is studied. We derive Carleman estimates that are on a form…
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…