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The paper presents investigations on the implementation and performance of the finite element numerical integration algorithm for first order approximations and three processor architectures, popular in scientific computing, classical CPU,…

Mathematical Software · Computer Science 2016-05-25 Krzysztof Banaś , Filip Krużel , Jan Bielański

The paper considers the problem of implementation on graphics processors of numerical integration routines for higher order finite element approximations. The design of suitable GPU kernels is investigated in the context of general purpose…

Mathematical Software · Computer Science 2014-03-03 Krzysztof Banaś , Przemysław Płaszewski , Paweł Macioł

We examine the Xeon Phi, which is based on Intel's Many Integrated Cores architecture, for its suitability to run the FDK algorithm--the most commonly used algorithm to perform the 3D image reconstruction in cone-beam computed tomography.…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-01-16 Johannes Hofmann , Jan Treibig , Georg Hager , Gerhard Wellein

With the increasing size and complexity of data produced by large scale numerical simulations, it is of primary importance for scientists to be able to exploit all available hardware in heterogenous High Performance Computing environments…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-15 Timothy Dykes , Claudio Gheller , Marzia Rivi , Mel Krokos

The ever-growing scale of data parallelism in today's HPC and ML applications presents a big challenge for computing architectures' energy efficiency and performance. Vector processors address the scale-up challenge by decoupling Vector…

Hardware Architecture · Computer Science 2025-08-14 Navaneeth Kunhi Purayil , Matteo Perotti , Tim Fischer , Luca Benini

With at least 50 cores, Intel Xeon Phi is a true many-core architecture. Featuring fairly powerful cores, two cache levels, and very fast interconnections, the Xeon Phi can get a theoretical peak of 1000 GFLOPs and over 240 GB/s. These…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-23 Jianbin Fang , Ana Lucia Varbanescu , Henk Sips , Lilun Zhang , Yonggang Che , Chuanfu Xu

Vectorization is increasingly important to achieve high performance on modern hardware with SIMD instructions. Assembly of matrices and vectors in the finite element method, which is characterized by iterating a local assembly kernel over…

Mathematical Software · Computer Science 2020-08-26 Tianjiao Sun , Lawrence Mitchell , Kaushik Kulkarni , Andreas Klöckner , David A. Ham , Paul H. J. Kelly

Currently there is considerable interest in making use of many-core processor architectures, such as Nvidia and AMD graphics processing units (GPUs) for scientific computing. In this work we explore the use of the Open Computing Language…

General Relativity and Quantum Cosmology · Physics 2011-10-04 Niket K. Choudhary , Rakesh Ginjupalli , Sandeep Navada , Gaurav Khanna

This work describes the challenges presented by porting parts ofthe Gysela code to the Intel Xeon Phi coprocessor, as well as techniques used for optimization, vectorization and tuning that can be applied to other applications. We evaluate…

Computational Physics · Physics 2015-08-04 G. Latu , M. Haefele , J. Bigot , V. Grandgirard , T. Cartier-Michaud , F. Rozar

With multi-core processors a ubiquitous building block of modern supercomputers, it is now past time to enable applications to embrace these developments in processor design. To achieve exascale performance, applications will need ways of…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-13 Michele Weiland , Lawrence Mitchell , Gerard Gorman , Stephan Kramer , Mark Parsons , James Southern

Intel Xeon Phi is a recently released high-performance coprocessor which features 61 cores each supporting 4 hardware threads with 512-bit wide SIMD registers achieving a peak theoretical performance of 1Tflop/s in double precision. Many…

Performance · Computer Science 2013-02-06 Erik Saule , Kamer Kaya , Umit V. Catalyurek

Recent trends in the HPC field have introduced new CPU architectures with improved vectorization capabilities that require optimization to achieve peak performance and thus pose challenges for performance portability. The deployment of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-17 Gianmarco Accordi , Jens Domke , Theresa Pollinger , Davide Gadioli , Gianluca Palermo

The performance portability of OpenCL kernel implementations for common memory bandwidth limited linear algebra operations across different hardware generations of the same vendor as well as across vendors is studied. Certain combinations…

Mathematical Software · Computer Science 2022-11-03 Karl Rupp , Philippe Tillet , Florian Rudolf , Josef Weinbub , Tibor Grasser , Ansgar Jüngel

Recent efforts to improve the performance of neural network (NN) accelerators that meet today's application requirements have given rise to a new trend of logic-based NN inference relying on fixed-function combinational logic (FFCL). This…

Hardware Architecture · Computer Science 2023-04-14 Jingkai Hong , Arash Fayyazi , Amirhossein Esmaili , Mahdi Nazemi , Massoud Pedram

Recent advances in memory technologies, devices and materials have shown great potential for integration into neuromorphic electronic systems. However, a significant gap remains between the development of these materials and the realization…

Electrical power requirements will be a constraint on the future growth of Distributed High Throughput Computing (DHTC) as used by High Energy Physics. Performance-per-watt is a critical metric for the evaluation of computer architectures…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-14 David Abdurachmanov , Brian Bockelman , Peter Elmer , Giulio Eulisse , Robert Knight , Shahzad Muzaffar

Several emerging petascale architectures use energy-efficient processors with vectorized computational units and in-order thread processing. On these architectures the sustained performance of streaming numerical kernels, ubiquitous in the…

Performance · Computer Science 2015-10-19 Tareq M. Malas , Aron J. Ahmadia , Jed Brown , John A. Gunnels , David E. Keyes

In this paper we develop the first fine-grained rounding error analysis of finite element (FE) cell kernels and assembly. The theory includes mixed-precision implementations and accounts for hardware-acceleration via matrix multiplication…

Numerical Analysis · Mathematics 2024-10-17 M. Croci , G. N. Wells

A finite element method is presented to compute time harmonic microwave fields in three dimensional configurations. Nodal-based finite elements have been coupled with an absorbing boundary condition to solve open boundary problems. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Christian Vollaire , Laurent Nicolas , Alain Nicolas

This paper concerns development of a high-performance implementation of the Particle-in-Cell method for plasma simulation on Intel Xeon Phi coprocessors. We discuss suitability of the method for Xeon Phi architecture and present our…

Computational Physics · Physics 2016-08-05 I. A. Surmin , S. I. Bastrakov , E. S. Efimenko , A. A. Gonoskov , A. V. Korzhimanov , I. B. Meyerov
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