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We present a scalable, parallel implementation of a solver for the solution of a phase-field model for quasi-static brittle fracture. The code is available as open source. Numerical solutions in 2d and 3d with adaptive mesh refinement show…

Numerical Analysis · Mathematics 2018-06-27 Timo Heister , Thomas Wick

In this article, a new generic higher-order finite-element framework for massively parallel simulations is presented. The modular software architecture is carefully designed to exploit the resources of modern and future supercomputers.…

Mathematical Software · Computer Science 2018-05-28 Nils Kohl , Dominik Thönnes , Daniel Drzisga , Dominik Bartuschat , Ulrich Rüde

Exascale computing delivers the raw power to simulate ever larger and more chemically realistic systems, but realizing this potential requires codes that can efficiently use thousands of processors. Our real-space multigrid (RMG) density…

Materials Science · Physics 2026-01-19 R. J. Morelock , S. Bagchi , E. L. Briggs , W. Lu , J. Bernholc , P. Ganesh

The high computational demands of multiscale modeling necessitate advanced parallel and adaptive strategies. To address this challenge, we introduce an adaptive method that utilizes two microscale models based on an offline database for…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-02 Sion Kim , Ezra Kissel , Karel Matous

This paper presents our work on designing scalable linear solvers for large-scale reservoir simulations. The main objective is to support implementation of parallel reservoir simulators on distributed-memory parallel systems, where MPI…

Mathematical Software · Computer Science 2017-01-24 Hui Liu , Zhangxin Chen

The modular open-source framework GRAMPC-D for model predictive control of distributed systems is presented in this paper. The modular concept allows to solve optimal control problems (OCP) in a centralized and distributed fashion using the…

Systems and Control · Electrical Eng. & Systems 2020-10-26 Daniel Burk , Andreas Völz , Knut Graichen

Large-scale distributed computing infrastructures such as the Worldwide LHC Computing Grid (WLCG) require comprehensive simulation tools for evaluating performance, testing new algorithms, and optimizing resource allocation strategies.…

Distributed model fitting refers to the process of fitting a mathematical or statistical model to the data using distributed computing resources, such that computing tasks are divided among multiple interconnected computers or nodes, often…

Computation · Statistics 2024-06-04 Xiaofei Wu , Rongmei Liang , Fabio Roli , Marcello Pelillo , Jing Yuan

We present here the first systematic treatment of the problems posed by the visualization and analysis of large-scale, parallel adaptive mesh refinement (AMR) simulations on an Eulerian grid. When compared to those obtained by constructing…

Graphics · Computer Science 2017-02-17 Guénolé Harel , Jacques-Bernard Lekien , Philippe P. Pébaÿ

A Multigrid Full Approximation Storage algorithm for solving Deep Residual Networks is developed to enable neural network parallelized layer-wise training and concurrent computational kernel execution on GPUs. This work demonstrates a 10.2x…

Machine Learning · Computer Science 2020-09-01 Andrew C. Kirby , Siddharth Samsi , Michael Jones , Albert Reuther , Jeremy Kepner , Vijay Gadepally

Decoupling approach presents a novel solution/alternative to the highly time-consuming fluid-thermal-structural simulation procedures when thermal effects and resultant displacements on machine tools are analyzed. Using high dimensional…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-31 Janine Glänzel , Andreas Naumann , Tharun Suresh Kumar

This paper presents a heterogeneous adaptive mesh refinement (AMR) framework for efficient simulation of moderately stiff reactive problems. This framework features an elaborate subcycling-in-time algorithm along with a specialized…

Computational Physics · Physics 2025-06-04 Yuqi Wang , Yadong Zeng , Ralf Deiterding , Jianhan Liang

We present a new hybrid paradigm for parallel adaptive mesh refinement (AMR) that combines the scalability and lightweight architecture of tree-based AMR with the computational efficiency of patch-based solvers for hyperbolic conservation…

Mathematical Software · Computer Science 2014-06-06 Carsten Burstedde , Donna Calhoun , Kyle Mandli , Andy R. Terrel

Heterogeneous systems are becoming more common on High Performance Computing (HPC) systems. Even using tools like CUDA and OpenCL it is a non-trivial task to obtain optimal performance on the GPU. Approaches to simplifying this task include…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-01-11 Marek Blazewicz , Steven R. Brandt , Peter Diener , David M. Koppelman , Krzysztof Kurowski , Frank Löffler , Erik Schnetter , Jian Tao

We introduce a hybrid approach to applying the density matrix renormalization group (DMRG) to continuous systems, combining a grid approximation along one direction with a finite Gaussian basis set along the remaining two directions. This…

Chemical Physics · Physics 2017-08-02 E. Miles Stoudenmire , Steven R. White

We describe the first parallel implementation of an adaptive particle-particle, particle-mesh code with smoothed particle hydrodynamics. Parallelisation of the serial code, ``Hydra'', is achieved by using CRAFT, a Cray proprietary language…

Astrophysics · Physics 2009-10-30 F. R. Pearce , H. M. P. Couchman

We present the Glasgow Parallel Reduction Machine (GPRM), a novel, flexible framework for parallel task-composition based many-core programming. We allow the programmer to structure programs into task code, written as C++ classes, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-11 Ashkan Tousimojarad , Wim Vanderbauwhede

Large-scale distributed graph-parallel computing is challenging. On one hand, due to the irregular computation pattern and lack of locality, it is hard to express parallelism efficiently. On the other hand, due to the scale-free nature,…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-22 Jie Yan , Guangming Tan , Ninghui Sun

Coarse-grain reconfigurable architectures (CGRAs) are gaining traction thanks to their performance and power efficiency. Utilizing CGRAs to accelerate the execution of tight loops holds great potential for achieving significant overall…

Hardware Architecture · Computer Science 2024-05-28 Elad Hadar , Yoav Etsion

In recent years, the growing demand to process large graphs and sparse datasets has led to increased research efforts to develop hardware- and software-based architectural solutions to accelerate them. While some of these approaches achieve…

Hardware Architecture · Computer Science 2024-02-27 Marcelo Orenes-Vera , Esin Tureci , Margaret Martonosi , David Wentzlaff