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Computational fluid dynamic simulations often produce large clusters of finite elements with non-trivial, non-convex boundaries and uneven distributions among compute nodes, posing challenges to compositing during interactive volume…

The number of cores on graphical computing units (GPUs) is reaching thousands nowadays, whereas the clock speed of processors stagnates. Unfortunately, constraint programming solvers do not take advantage yet of GPU parallelism. One reason…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-26 Pierre Talbot , Frédéric Pinel , Pascal Bouvry

This paper presents a highly efficient method to obtain high-resolution, near-optimal 3D topologies optimized for minimum compliance on a standard PC. Using an implicit geometry description we derive a single-scale interpretation of optimal…

Computational Engineering, Finance, and Science · Computer Science 2020-04-22 Jeroen Groen , Florian Stutz , Niels Aage , J. Andreas Bærentzen , Ole Sigmund

The edge computing paradigm has emerged to handle cloud computing issues such as scalability, security and low response time among others. This new computing trend heavily relies on ubiquitous embedded systems on the edge. Performance and…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-28 Mohammad Hosseinabady , Mohd Amiruddin Bin Zainol , Jose Nunez-Yanez

We describe an implementation of compressible inviscid fluid solvers with block-structured adaptive mesh refinement on Graphics Processing Units using NVIDIA's CUDA. We show that a class of high resolution shock capturing schemes can be…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Peng Wang , Tom Abel , Ralf Kaehler

While the advances in synchrotron light sources, together with the development of focusing optics and detectors, allow nanoscale ptychographic imaging of materials and biological specimens, the corresponding experiments can yield…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-05 Xiaodong Yu , Viktor Nikitin , Daniel J. Ching , Selin Aslan , Doga Gursoy , Tekin Bicer

Implicit methods and GPU parallelization are two distinct yet powerful strategies for accelerating high-order CFD algorithms. However, few studies have successfully integrated both approaches within high-speed flow solvers. The core…

Numerical Analysis · Mathematics 2025-09-09 Hongyu Liu , Xing Ji , Yuan Fu , Kun Xu

We introduce CaLES, a GPU-accelerated finite-difference solver designed for large-eddy simulations (LES) of incompressible wall-bounded flows in massively parallel environments. Built upon the existing direct numerical simulation (DNS)…

Fluid Dynamics · Physics 2024-11-18 Maochao Xiao , Alessandro Ceci , Pedro Costa , Johan Larsson , Sergio Pirozzoli

It is well known since 1960s that by exploring the tensor product structure of the discrete Laplacian on Cartesian meshes, one can develop a simple direct Poisson solver with an $\mathcal O(N^{\frac{d+1}d})$ complexity in d-dimension, where…

Numerical Analysis · Mathematics 2024-06-13 Xinyu Liu , Jie Shen , Xiangxiong Zhang

The mechanical properties of periodic microstructures are pivotal in various engineering applications. Homogenization theory is a powerful tool for predicting these properties by averaging the behavior of complex microstructures over a…

Computational Physics · Physics 2025-10-06 Yu Xing , Yang Liu , Lipeng Chen , Huiping Tang , Lin Lu

Disaggregation maps parts of an AI workload to different types of GPUs, offering a path to utilize modern heterogeneous GPU clusters. However, existing solutions operate at a coarse granularity and are tightly coupled to specific model…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-14 Tiancheng Hu , Jin Qin , Zheng Wang , Junhao Hu , Yuzheng Wang , Lei Chen , Yizhou Shan , Mingxing Zhang , Ting Cao , Chunwei Xia , Huimin Cui , Tao Xie , Chenxi Wang

Linear solvers are major computational bottlenecks in a wide range of decision support and optimization computations. The challenges become even more pronounced on heterogeneous hardware, where traditional sparse numerical linear algebra…

Computational Engineering, Finance, and Science · Computer Science 2024-01-26 Kasia Świrydowicz , Nicholson Koukpaizan , Maksudul Alam , Shaked Regev , Michael Saunders , Slaven Peleš

We describe the GPU implementation of shifted or multimass iterative solvers for sparse linear systems of the sort encountered in lattice gauge theory. We provide a generic tool that can be used by those without GPU programming experience…

High Energy Physics - Lattice · Physics 2011-02-16 Richard Galvez , Greg van Anders

Inverse design of high-resolution and fine-detailed 3D lightweight mechanical structures is notoriously expensive due to the need for vast computational resources and the use of very fine-scaled complex meshes. Furthermore, in designing for…

This work presents a GPU-accelerated solver for the unit commitment (UC) problem in large-scale power grids. The solver uses the Primal-Dual Hybrid Gradient (PDHG) algorithm to efficiently solve the relaxed linear subproblem, achieving…

Optimization and Control · Mathematics 2025-12-09 Hussein Sharadga , Javad Mohammadi

In this paper, we develop a low-order three-dimensional finite-element solver for fast multiple-case crust deformation analysis on GPU-based systems. Based on a high-performance solver designed for massively parallel CPU based systems, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-25 Takuma Yamaguchi , Kohei Fujita , Tsuyoshi Ichimura , Muneo Hori , Maddegedara Lalith , Kengo Nakajima

A new flow solver scalable on multiple Graphics Processing Units (GPUs) for direct numerical simulation of wall-bounded incompressible flow is presented. This solver utilizes a previously reported work (J. Comp. Physics, vol. 352 (2018),…

Computational Physics · Physics 2018-12-05 Sanghyun Ha , Junshin Park , Donghyun You

Homogeneous diffusion inpainting can reconstruct missing image areas with high quality from a sparse subset of known pixels, provided that their location as well as their gray or color values are well optimized. This property is exploited…

Image and Video Processing · Electrical Eng. & Systems 2024-08-13 Niklas Kämper , Vassillen Chizhov , Joachim Weickert

The Poisson-Fermi model is an extension of the classical Poisson-Boltzmann model to include the steric and correlation effects of ions and water treated as nonuniform spheres in aqueous solutions. Poisson-Boltzmann electrostatic…

Computational Physics · Physics 2018-07-04 Jen-Hao Chen , Ren-Chuen Chen , Jinn-Liang Liu

We present a GPU implementation of vertex-patch smoothers for higher order finite element methods in two and three dimensions. Analysis shows that they are not memory bound with respect to GPU DRAM, but with respect to on-chip scratchpad…

Numerical Analysis · Mathematics 2025-05-07 Cu Cui , Paul Grosse-Bley , Guido Kanschat , Robert Strzodka