44 citations · 202 across the 26 of their papers we have counts for
5 papers · 1 filter
Discrete maximal parabolic regularity for Galerkin finite element methods for non-autonomous parabolic problem s
Dmitriy Leykekhman, Boris Vexler
The main goal of the paper is to establish time semidiscrete and space-time fully discrete maximal parabolic regularity for the lowest order time discontinuous Galerkin solution of…
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)…
-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…
Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients
Philip Trautmann, Boris Vexler, Alexander Zlotnik
This work is concerned with the optimal control problems governed by a 1D wave equation with variable coefficients and the control spaces of either measure-valued fu…
Optimal a priori error estimates of parabolic optimal control problems with a moving point control
Dmitriy Leykekhman, Boris Vexler
In this paper we consider a parabolic optimal control problem with a Dirac type control with moving point source in two space dimensions. We discretize the problem with piecewise c…