28 citations · 57 across the 3 of their papers we have counts for
3 papers
math.NA2018★ 8 cited
Finite Element Error Estimates for Optimal Control Problems with Pointwise Tracking
Niklas Behringer, Dominik Meidner, Boris Vexler
We consider a linear-quadratic elliptic optimal control problem with point evaluations of the state variable in the cost functional. The state variable is discretized by conforming…
math.NA2017★ 21 cited
Optimal Error Estimates for Fully Discrete Galerkin Approximations of Semilinear Parabolic Equations
Dominik Meidner, Boris Vexler
We consider a semilinear parabolic equation with a large class of nonlinearities without any growth conditions. We discretize the problem with a discontinuous Galerkin scheme dG(0)…
math.NA2017★ 28 cited
-Finite Elements for Fractional Diffusion
Dominik Meidner, Johannes Pfefferer, Klemens Schürholz +1
The purpose of this work is to introduce and analyze a numerical scheme to efficiently solve boundary value problems involving the spectral fractional Laplacian. The approach is ba…