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In this paper, we present algorithms and implementations for the end-to-end GPU acceleration of matrix-free low-order-refined preconditioning of high-order finite element problems. The methods described here allow for the construction of…

Mathematical Software · Computer Science 2023-06-05 Will Pazner , Tzanio Kolev , Jean-Sylvain Camier

When utilized effectively, Supercloud heterogeneous systems have the potential to significantly enhance performance. Our ReDSEa tool-chain automates the mapping, load balancing, scheduling, parallelism, and overlapping processes for the…

Hardware Architecture · Computer Science 2023-06-01 Georgios Zacharopoulos , Ilias Bournias , Verner Vlacic , Lukas Cavigelli

With the appearance of the heterogeneous platform OpenPower,many-core accelerator devices have been coupled with Power host processors for the first time. Towards utilizing their full potential, it is worth investigating performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-07 Erik Zenker , René Widera , Axel Huebl , Guido Juckeland , Andreas Knüpfer , Wolfgang E. Nagel , Michael Bussmann

In this work, we present an extension of Gaussian process (GP) models with sophisticated parallelization and GPU acceleration. The parallelization scheme arises naturally from the modular computational structure w.r.t. datapoints in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-21 Zhenwen Dai , Andreas Damianou , James Hensman , Neil Lawrence

This paper presents the design, implementation, and performance analysis of a parallel and GPU-accelerated Poisson solver based on the Preconditioned Bi-Conjugate Gradient Stabilized (Bi-CGSTAB) method. The implementation utilizes the MPI…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-13 Luca Pennati , Måns I. Andersson , Klaus Steiniger , Rene Widera , Tapish Narwal , Michael Bussmann , Stefano Markidis

We present SymPhas 2.0, a major update of the compile-time symbolic algebra simulation framework SymPhas for phase-field and reaction-diffusion models. This release introduces significant expansions and enhancements that enable the…

Computational Physics · Physics 2025-11-14 Steven A. Silber , Mikko Karttunen

This paper explores strategies to transform an existing CPU-based high-performance computational fluid dynamics solver, HyPar, for compressible flow simulations on emerging exascale heterogeneous (CPU+GPU) computing platforms. The…

Computational Engineering, Finance, and Science · Computer Science 2022-12-07 Youngdae Kim , Debojyoti Ghosh , Emil M. Constantinescu , Ramesh Balakrishnan

Combinatorial optimization problems arise in logistics, scheduling, and resource allocation, yet existing approaches face a fundamental trade-off among generality, performance, and usability. We present cuGenOpt, a GPU-accelerated…

Artificial Intelligence · Computer Science 2026-03-20 Yuyang Liu

The convex hull is a fundamental geometrical structure for many applications where groups of points must be enclosed or represented by a convex polygon. Although efficient sequential convex hull algorithms exist, and are constantly being…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-27 Alan Keith , Héctor Ferrada , Cristóbal A. Navarro

Modern computers have graphics cards with much higher theoretical efficiency than conventional CPU. The paper presents application possibilities GPU CUDA acceleration for encryption of data using the new architecture tailored to the 3DES…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-05-21 Lukasz Swierczewski

In parallel simulation, convergence and parallelism are often seen as inherently conflicting objectives. Improved parallelism typically entails lighter local computation and weaker coupling, which unavoidably slow the global convergence.…

Graphics · Computer Science 2025-06-10 Lei Lan , Zixuan Lu , Chun Yuan , Weiwei Xu , Hao Su , Huamin Wang , Chenfanfu Jiang , Yin Yang

Graphic Processing Units (GPUs) are getting increasingly important as target architectures in scientific High Performance Computing (HPC). NVIDIA established CUDA as a parallel computing architecture controlling and making use of the…

High Energy Physics - Lattice · Physics 2011-05-12 Frank Winter

This work presents a fully GPU-accelerated algorithm for the polygonal mesh generator known as Polylla. Polylla is a tri-to-polygon mesh generator, which benefits from the half-edge data structure to manage any polygonal shape. The proposed…

Graphics · Computer Science 2024-03-25 Sergio Salinas-Fernández , Nancy Hitschfeld-Kahler , Roberto Carrasco

We present a scalable dissipative particle dynamics simulation code, fully implemented on the Graphics Processing Units (GPUs) using a hybrid CUDA/MPI programming model, which achieves 10-30 times speedup on a single GPU over 16 CPU cores…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-01 Yu-Hang Tang , George Em Karniadakis

Efficient hybrid DFT simulations of solid state materials would be extremely beneficial for computational chemistry and materials science, but is presently bottlenecked by difficulties in computing Hartree-Fock (HF) exchange with plane wave…

Chemical Physics · Physics 2024-10-30 Yuanheng Wang , Diptarka Hait , Pablo A. Unzueta , Juncheng Harry Zhang , Todd J. Martínez

High fidelity scientific simulations modeling physical phenomena typically require solving large linear systems of equations which result from discretization of a partial differential equation (PDE) by some numerical method. This step often…

Mathematical Software · Computer Science 2020-07-01 Mohammad Shafaet Islam , Qiqi Wang

This paper describes some applications of GPU acceleration in ab initio nuclear structure calculations. Specifically, we discuss GPU acceleration of the software package MFDn, a parallel nuclear structure eigensolver. We modify the matrix…

The iterative diagonalization of a sequence of large ill-conditioned generalized eigenvalue problems is a computational bottleneck in quantum mechanical methods employing a nonorthogonal basis for {\em ab initio} electronic structure…

Materials Science · Physics 2013-08-13 Yunfeng Cai , Zhaojun Bai , John E. Pask , N. Sukumar

This paper introduces a second-order method for solving general elliptic partial differential equations (PDEs) on irregular domains using GPU acceleration, based on Ying's kernel-free boundary integral (KFBI) method. The method addresses…

Numerical Analysis · Mathematics 2024-04-24 Liwei Tan , Minsheng Huang , Wenjun Ying

We report numerical results on solving constrained linear-quadratic model predictive control (MPC) problems by exploiting graphics processing units (GPUs). The presented method reduces the MPC problem by eliminating the state variables and…

Optimization and Control · Mathematics 2026-05-11 David Cole , Sungho Shin , François Pacaud , Victor M. Zavala , Mihai Anitescu