Fourier analysis of a time-simultaneous two-grid algorithm using a damped Jacobi waveform relaxation smoother for the one-dimensional heat equation

C Lohmann, J Dünnebacke, S Turek - Journal of Numerical …, 2022 - degruyter.com
In this work, the convergence behavior of a time-simultaneous two-grid algorithm for the one-
dimensional heat equation is studied using Fourier arguments in space. The underlying …

Very fast finite element Poisson solvers on lower precision accelerator hardware: A proof of concept study for Nvidia Tesla V100

D Ruda, S Turek, D Ribbrock… - … International Journal of …, 2022 - journals.sagepub.com
Recently, accelerator hardware in the form of graphics cards including Tensor Cores,
specialized for AI, has significantly gained importance in the domain of high-performance …

Augmented Lagrangian acceleration of global-in-time Pressure Schur complement solvers for incompressible Oseen equations

C Lohmann, S Turek - Journal of Mathematical Fluid Mechanics, 2024 - Springer
This work is focused on an accelerated global-in-time solution strategy for the Oseen
equations, which highly exploits the augmented Lagrangian methodology to improve the …

Numerical Analysis of a Time-Simultaneous Multigrid Solver for Stabilized Convection-Dominated Transport Problems in 1D

W Drews, S Turek, C Lohmann - 2023 - 129.217.131.68
The work to be presented focuses on the convection-diffusion equation, especially in the
regime of small diffusion coefficients, which is solved using a time-simultaneous multigrid …

An extension of a very fast direct finite element Poisson solver on lower precision accelerator hardware towards semi-structured grids

D Ruda, S Turek, D Ribbrock, P Zajac - 2022 - 129.217.131.68
Graphics cards that are equipped with Tensor Core units designed for AI applica tions, for
example the NVIDIA Ampere A100, promise very high peak rates concerning their …

[图书][B] Improving Convergence of Time-Simultaneous Multigrid Methods for Convection-Dominated Problems using VMS Stabilization Techniques

W Drews, S Turek, C Lohmann - 2024 - eldorado.tu-dortmund.de
We present the application of a time-simultaneous multigrid algorithm closely related to
multigrid waveform relaxation for stabilized convection-diffusion equations in the regime of …

[PDF][PDF] Space-time multigrid methods for convection-diffusion equations arising from flow problems

J Dünnebacke, C Lohmann, S Turek - 2024 - wwwold.mathematik.tu-dortmund.de
Space-time multigrid methods for convection-diffusion equations arising from flow problems -
ALGORITMY 2024 - Slovakia Page 1 Space-time multigrid methods for convection-diffusion …

[PDF][PDF] Optimizing FE-Multigrid Methods for Convection-Diffusion Equations via Space-Time Parallelization

W Drews, S Turek - 2024 - wwwold.mathematik.tu-dortmund.de
Optimizing FE-Multigrid Methods for Convection-Diffusion Equations via Space-Time
Parallelization - ALGORITMY 2024 - High Tatra Page 1 Optimizing FE-Multigrid Methods for …

[PDF][PDF] Space-time multigrid methods for stabilized convection-diffusion equations arising from flow problems

J Dünnebacke, C Lohmann, S Turek - 2023 - wwwold.mathematik.tu-dortmund.de
Space-time multigrid methods for stabilized convection-diffusion equations arising from flow
problems - PinT 2023 Page 1 Space-time multigrid methods for stabilized convection-diffusion …

[PDF][PDF] On a Time-Simultaneous Multigrid Method in Combination with Stabilization Techniques for the Convection–Diffusion Equation

WS Oberseminar, W Drews, S Turek, C Lohmann - 2023 - mathematik.tu-dortmund.de
On a Time-Simultaneous Multigrid Method in Combination with Stabilization Techniques for the
Convection–Diffusion Equation - O Page 1 On a Time-Simultaneous Multigrid Method in …