Národní úložiště šedé literatury Nalezeno 3 záznamů.  Hledání trvalo 0.00 vteřin. 
Large-scale Ultrasound Simulations using Accelerated Clusters
Vaverka, Filip ; Boehm, Christian (oponent) ; Říha, Lubomír (oponent) ; Jaroš, Jiří (vedoucí práce)
Efficient utilization of accelerated HPC clusters is particularly sensitive to communication efficiency of deployed algorithms. In this thesis, we reexamine pseudo-spectral solvers for wave-like problems in medical ultrasonics to allow their deployment on these machines. The domain decomposition is shown to be a preferable approach to improving data locality of these solvers as a range  of suitable alternative discretizations exhibited considerably worse numerical properties. The local Fourier basis domain decomposition is then used to construct a novel solver based on the state of the art model for ultrasound in medicine -- k-Wave. We show that this approach is up to 7.5x faster and achieves almost perfect weak-scaling up to 512 GPU accelerated nodes, while being able to take full advantage of advanced GPU interconnects such as NVLink in NVIDIA DGX-2 multi-GPU nodes. The method offers flexible accuracy--efficiency trade off, which allows to nearly match accuracy of the global k-Space method or maximize performance at sufficient accuracy by subdomain overlap scaling.
The effect of irregular interfaces on the BDDC method for the Navier-Stokes equations
Hanek, M. ; Šístek, Jakub ; Burda, P.
We investigate the effect of interface irregularity on the convergence of the BDDC method for Navier-Stokes equations. A benchmark problem of a sequence of contracting channels is proposed to evaluate the robustness of the iterative solver with respect to element aspect ratios at the interface. Partitioners based on graph of the mesh and the geometry of the domain are compared. It is shown, that the convergence is significantly improved by avoiding irregular interfaces for the benchmark problem as well as for an industrial problem of oil flow in hydrostatic bearing.
Paralelní výpočty a MKP
Blaheta, Radim
Příspěvek popisuje aplikaci paralelních výpočtů pro numerické řešení okrajových úloh typu pružnosti či vedení tepla metodou konečných prvků. Hlavní aplikací je řešení vznikajících rozsáhlých lineárních soustav metodami rozložení oblasti.

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