4 papers
Fully discrete error analysis of finite element discretizations of time-dependent Stokes equations in a stream-function formulation
Dmitriy Leykekhman, Boris Vexler, Jakob Wagner
In this paper we establish best approximation type error estimates for the fully discrete Galerkin solutions of the time-dependent Stokes problem using the stream-function formulat…
Rigorous Hausdorff dimension estimates for conformal fractals
Vasileios Chousionis, Dmitriy Leykekhman, Mariusz UrbaÅski +1
We develop a versatile framework which allows us to rigorously estimate the Hausdorff dimension of maximal conformal graph directed Markov systems in for .…
The dimension spectrum of the infinitely generated Apollonian gasket
Vasileios Chousionis, Dmitriy Leykekhman, Mariusz UrbaÅski +1
We prove that the infinitely generated Apollonian gasket has full Hausdorff dimension spectrum. Our proof, which is computer assisted, relies on an iterative technique introduced b…
A priori error estimates for optimal control problems governed by the transient Stokes equations and subject to state constraints pointwise in time
Dmitriy Leykekhman, Boris Vexler, Jakob Wagner
In this paper, we consider a state constrained optimal control problem governed by the transient Stokes equations. The state constraint is given by an L2 functional in space, which…