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This work studies three multigrid variants for matrix-free finite-element computations on locally refined meshes: geometric local smoothing, geometric global coarsening, and polynomial global coarsening. We have integrated the algorithms…

Numerical Analysis · Mathematics 2022-04-12 Peter Munch , Timo Heister , Laura Prieto Saavedra , Martin Kronbichler

To prepare images for better segmentation, we need preprocessing applications, such as smoothing, to reduce noise. In this paper, we present an enhanced computation method for smoothing 2D object in binary case. Unlike existing approaches,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-31 Ramzi Mahmoudi , Mohamed Akil

The multi-level hp-refinement scheme is a powerful extension of the finite element method that allows local mesh adaptation without the trouble of constraining hanging nodes. This is achieved through hierarchical high-order overlay meshes,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-05 John N. Jomo , Nils Zander , Mohamed Elhaddad , Ali Özcan , Stefan Kollmannsberger , Ralf-Peter Mundani , Ernst Rank

Efficient exploitation of exascale architectures requires rethinking of the numerical algorithms used in many large-scale applications. These architectures favor algorithms that expose ultra fine-grain parallelism and maximize the ratio of…

This paper introduces an efficient and generic framework for finite-element simulations under an implicit time integration scheme. Being compatible with generic constitutive models, a fast matrix assembly method exploits the fact that…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-12 Ziqiu Zeng , Hadrien Courtecuisse

In this paper we analyze, evaluate, and improve the performance of training generalized linear models on modern CPUs. We start with a state-of-the-art asynchronous parallel training algorithm, identify system-level performance bottlenecks,…

Machine Learning · Computer Science 2018-12-20 Nikolas Ioannou , Celestine Dünner , Kornilios Kourtis , Thomas Parnell

Discrete Fracture Network models are largely used for very large scale geological flow simulations. For this reason numerical methods require an investigation of tools for efficient parallel solutions on High Performance Computing systems.…

Numerical Analysis · Mathematics 2021-06-21 Stefano Berrone , Alice Raeli

We describe a parallel solver for the discretized weakly singular space-time boundary integral equation of the spatially two-dimensional heat equation. The global space-time nature of the system matrices leads to improved parallel…

Numerical Analysis · Mathematics 2021-02-23 Stefan Dohr , Michal Merta , Günther Of , Olaf Steinbach , Jan Zapletal

This work introduces an innovative parallel, fully-distributed finite element framework for growing geometries and its application to metal additive manufacturing. It is well-known that virtual part design and qualification in additive…

Computational Engineering, Finance, and Science · Computer Science 2019-04-30 Eric Neiva , Santiago Badia , Alberto F. Martín , Michele Chiumenti

The aim of the paper is to introduce general techniques in order to optimize the parallel execution time of sorting on a distributed architectures with processors of various speeds. Such an application requires a partitioning step. For…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-16 Christophe Cérin , Jean-Christophe Dubacq , Jean-Louis Roch , the SafeScale Collaboration

This article addresses the research question if and how the finite cell method, an embedded domain finite element method of high order, may be used in the simulation of metal deposition to harvest its computational efficiency. This…

Numerical Analysis · Mathematics 2018-09-26 Ali Özcan , Stefan Kollmannsberger , John N. Jomo , Ernst Rank

This article introduces a highly parallel algorithm for molecular dynamics simulations with short-range forces on single node multi- and many-core systems. The algorithm is designed to achieve high parallel speedups for strongly…

Computational Physics · Physics 2013-11-20 R. Meyer

We propose an algorithm for the computational homogenization of locally periodic hyperelastic structures undergoing large deformations due to external quasi-static loading. The algorithm performs clustering of macroscopic deformations into…

Numerical Analysis · Mathematics 2026-02-26 Vladimír Lukeš , Eduard Rohan

In this paper, a parallel overlapping domain decomposition preconditioner is proposed to solve the linear system of equations arising from the extended finite element discretization of elastic crack problems. The algorithm partitions the…

Computational Engineering, Finance, and Science · Computer Science 2021-12-07 Tian Wei , Huang Jingjing , Chen Rongliang , Jiang Yi

This paper studies the nucleus decomposition problem, which has been shown to be useful in finding dense substructures in graphs. We present a novel parallel algorithm that is efficient both in theory and in practice. Our algorithm achieves…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-12 Jessica Shi , Laxman Dhulipala , Julian Shun

In this paper we present a new GPU-oriented mesh optimization method based on high-order finite elements. Our approach relies on node movement with fixed topology, through the Target-Matrix Optimization Paradigm (TMOP) and uses a global…

Mathematical Software · Computer Science 2022-12-28 Jean-Sylvain Camier , Veselin Dobrev , Patrick Knupp , Tzanio Kolev , Ketan Mittal , Robert Rieben , Vladimir Tomov

The present paper describes the development of a novel and comprehensive computational framework to simulate solidification problems in materials processing, specifically casting processes. Heat transfer, solidification and fluid flow due…

Numerical Analysis · Computer Science 2020-10-06 Shantanu Shahane , Narayana Aluru , Placid Ferreira , Shiv G Kapoor , Surya Pratap Vanka

This study addresses the challenge of simulating realistic particle systems by proposing a novel particle decomposition scheme that improves the parallel performance of surface resolved particle simulations. Realistic particle systems often…

Fluid Dynamics · Physics 2024-03-21 J. E. Marquardt , N. Hafen , M. J. Krause

This paper proposes a new parallel approach to solve connected components on a 2D binary image implemented with CUDA. We employ the following strategies to accelerate neighborhood exploration after dividing an input image into independent…

Computer Vision and Pattern Recognition · Computer Science 2018-01-29 Jun Chen , Keisuke Nonaka , Ryosuke Watanabe , Hiroshi Sankoh , Houari Sabirin , Sei Naito

In this work we show that randomized (block) coordinate descent methods can be accelerated by parallelization when applied to the problem of minimizing the sum of a partially separable smooth convex function and a simple separable convex…

Optimization and Control · Mathematics 2013-11-27 Peter Richtárik , Martin Takáč
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