activity
20122026
most citedAdaptive FEM with optimal convergence rates for a certain class of non-symmetric and possibly non-linear problems

76 citations · 315 across the 31 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.NA2022

Least-squares finite elements for distributed optimal control problems

Thomas Führer, Michael Karkulik

We provide a framework for the numerical approximation of distributed optimal control problems, based on least-squares finite element methods. Our proposed method simultaneously so…

math.NA2022★ 1 cited

On a mixed FEM and a FOSLS with loads

Thomas Führer

We study variants of the mixed finite element method (mixed FEM) and the first-order system least-squares finite element (FOSLS) for the Poisson problem where we replace the load b…

math.NA2022★ 1 cited

Space-time finite element methods for parabolic distributed optimal control problems

Thomas Führer, Michael Karkulik

We present a method for the numerical approximation of distributed optimal control problems constrained by parabolic partial differential equations. We complement the first-order o…