51 citations · 263 across the 30 of their papers we have counts for
6 papers · 1 filter
A Robust Multigrid Method for Isogeometric Analysis using Boundary Correction
Clemens Hofreither, Stefan Takacs, Walter Zulehner
We consider geometric multigrid methods for the solution of linear systems arising from isogeometric discretizations of elliptic partial differential equations. For classical finit…
A robust all-at-once multigrid method for the Stokes control problem
Stefan Takacs
In this paper we present an all-at-once multigrid method for a distributed Stokes control problem (velocity tracking problem). For solving such a problem, we use the fact that the…
Using cylindrical algebraic decomposition and local Fourier analysis to study numerical methods: two examples
Stefan Takacs
Local Fourier analysis is a strong and well-established tool for analyzing the convergence of numerical methods for partial differential equations. The key idea of local Fourier an…
A robust multigrid method for the time-dependent Stokes problem
Stefan Takacs
In the present paper we propose a coupled multigrid method for generalized Stokes flow problems. Such problems occur as subproblems in implicit time-stepping approaches for time-de…
Efficient smoothers for all-at-once multigrid methods for Poisson and Stokes control problems
Stefan Takacs
In the present paper we concentrate on an important issue in constructing a good multigrid solver: the choice of an efficient smoother. We will introduce all-at-once multigrid solv…
Approximation error estimates and inverse inequalities for B-splines of maximum smoothness
Stefan Takacs, Thomas Takacs
In this paper, we develop approximation error estimates as well as corresponding inverse inequalities for B-splines of maximum smoothness, where both the function to be approximate…