Browsing by Subject "parallel"

Now showing 1 - 3 of 3

Access status: Open Access ,
A physical model of quantum bit behavior based on a programmable FPGA integrated circuit
(Wydawnictwa AGH, 2024) Długopolski, Jacek; Sadowski, Marcin; Suleja, Wawrzyniec
The rapidly developing field of quantum computing and the ongoing lack of widely available quantum computers create the need for scientists to build their simulators. However, mathematical simulation of such circuits usually ignores many aspects and problems found in real quantum systems. In this article, the authors describe a quantum bit emulator based on FPGA integrated circuits. In this case, FPGA technology provides real-time massive parallelism of the modeled physical phenomena. The modeled QUBIT is represented using a Bloch sphere. Its quantum state is set and modified only by precise pulses of an electrical signal, and with the help of similar pulses, it manifests its current state in real time. The constructed QUBIT was additionally equipped with decoherence mechanisms and with circuits that intentionally respond to internal and external noises that distort its current quantum state. This article presents and discusses how such a physically built emulator works.
Access status: Open Access ,
Application of projection-based interpolation algorithm for non-stationary problem
(Wydawnictwa AGH, 2016) Woźniak, Maciej; Paszyński, Maciej
In this paper, we present a solver for non-stationary problems using $L^2$ projection and h-adaptations. The solver utilizes the Euler time integration scheme for time evolution mixed with projection-based interpolation techniques for solving the $L^2$ projection problem at every time step. The solver is tested on the model problem of a heat transfer in an L-shape domain. We show that our solver delivers linear computational cost at every time step.
Access status: Open Access ,
Comparison of multi-frontal and alternating direction parallel hybrid memory iGRM direct solver for non-stationary simulations
(Wydawnictwa AGH, 2020) Woźniak, Maciej; Bukowska, Anna
Three-dimensional isogeometric analysis (IGA-FEM) is a modern method for simulation. The idea is to utilize B-splines or NURBS basis functions for both computational domain descriptions and engineering computations. Refined isogeometric analysis (rIGA) employs a mixture of patches of elements with B-spline basis functions and $C^0$ separators between them. This enables a reduction in the computational cost of direct solvers. Both IGA and rIGA come with challenging sparse matrix structures that are expensive to generate. In this paper, we show a hybrid parallelization method using hybrid-memory parallel machines. The two-level parallelization includes the partitioning of the computational mesh into sub-domains on the first level (MPI) and loop parallelization on the second level (OpenMP). We show that the hybrid parallelization of the integration reduces the contribution of this phase significantly. We compare the multi-frontal solver and alternating direction solver, including the integration and the factorization phases.