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This study presents novel strategies for improving the node-level performance of matrix-free evaluation of continuous and discontinuous Galerkin spatial discretizations on unstructured tetrahedral grids. In our approach the underlying…

Numerical Analysis · Mathematics 2025-09-15 Dominik Still , Niklas Fehn , Wolfgang A. Wall , Martin Kronbichler

High-fidelity flow simulations are indispensable when analyzing systems exhibiting multiphase flow phenomena. The accuracy of multiphase flow simulations is strongly contingent upon the finest mesh resolution used to represent the…

Computational Physics · Physics 2023-04-05 Kumar Saurabh , Masado Ishii , Makrand A. Khanwale , Hari Sundar , Baskar Ganapathysubramanian

The availability of city-scale Lidar maps enables the potential of city-scale place recognition using mobile cameras. However, the city-scale Lidar maps generally need to be compressed for storage efficiency, which increases the difficulty…

Computer Vision and Pattern Recognition · Computer Science 2024-02-27 Xudong Cai , Yongcai Wang , Zhe Huang , Yu Shao , Deying Li

This paper presents an efficient and quantitative phase-field model for elastically heterogeneous alloys that ensures the two mechanical compatibilities$\unicode{x2014}$static and kinematic, in conjunction with chemical equilibrium within…

Materials Science · Physics 2023-01-05 Sourav Chatterjee , Daniel Schwen , Nele Moelans

We present a hybrid partitioned deep learning framework for the reduced-order modeling of fluid-structure interaction. Using the discretized Navier-Stokes in the arbitrary Lagrangian-Eulerian reference frame, we generate the full-order flow…

Fluid Dynamics · Physics 2021-11-02 Rachit Gupta , Rajeev Kumar Jaiman

This paper presents a novel approach to neural network compression that addresses redundancy at both the filter and architectural levels through a unified framework grounded in information flow analysis. Building on the concept of tensor…

Machine Learning · Computer Science 2025-11-26 Aleksei Samarin , Artem Nazarenko , Egor Kotenko , Valentin Malykh , Alexander Savelev , Aleksei Toropov

Unstructured meshes are among the most versatile approaches for capturing non-canonical geometries in fluid dynamics simulations. Despite this, most high-fidelity first-principles phase-change models are developed and applied on structured…

Computational Physics · Physics 2026-04-17 Jan Kren , Bojan Ničeno , Yohei Sato

An algorithm for a family of self-starting high-order implicit time integration schemes with controllable numerical dissipation is proposed for both linear and nonlinear transient problems. This work builds on the previous works of the…

Numerical Analysis · Mathematics 2024-09-23 Daniel O'Shea , Xiaoran Zhang , Shayan Mohammadian , Chongmin Song

Benefiting from its high efficiency and simplicity, Simple Linear Iterative Clustering (SLIC) remains one of the most popular over-segmentation tools. However, due to explicit enforcement of spatial similarity for region continuity, the…

Computer Vision and Pattern Recognition · Computer Science 2018-10-09 Jiaxing Zhao , Ren Bo , Qibin Hou , Ming-Ming Cheng , Paul L. Rosin

We propose a new method named LoD-Loc for visual localization in the air. Unlike existing localization algorithms, LoD-Loc does not rely on complex 3D representations and can estimate the pose of an Unmanned Aerial Vehicle (UAV) using a…

Computer Vision and Pattern Recognition · Computer Science 2024-10-17 Juelin Zhu , Shen Yan , Long Wang , Shengyue Zhang , Yu Liu , Maojun Zhang

Convolutional Neural Networks (CNNs) are state-of-the-art in numerous computer vision tasks such as object classification and detection. However, the large amount of parameters they contain leads to a high computational complexity and…

Machine Learning · Computer Science 2019-01-01 Ghouthi Boukli Hacene , Vincent Gripon , Matthieu Arzel , Nicolas Farrugia , Yoshua Bengio

This study proposes an acceleration technique for the computational challenges in extending the variational deterministic-particle-based scheme (VDS) [Bao et al., Journal of Computational Physics 522 (2025) 113589] to 3D complex fluid…

Computational Physics · Physics 2026-03-16 L. Fang , X. Bao , Z. Song , S. Xu , H. Huang

We propose a low-rank tensor approach to approximate linear transport and nonlinear Vlasov solutions and their associated flow maps. The approach takes advantage of the fact that the differential operators in the Vlasov equation is tensor…

Numerical Analysis · Mathematics 2022-03-23 Wei Guo , Jing-Mei Qiu

In this paper, we propose a scalable approximate multiplier design, scaleTRIM, that approximates the multiplication operation using fitted linear functions, also referred to as linearization. We show that multiplication operations can be…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-14 Ebrahim Farahmand , Mohammad Javad Askarizadeh , Ali Mahani , Behnam Ghavami , Hassan Ghasemzadeh , Muhammad Abdullah Hanif , Muhammad Shafique

Small-scale plasticity problems are often characterised by different patterning behaviours ranging from macroscopic down to the atomistic scale. In successful models of such complex behaviour, its origin lies within non-convexity of the…

Computational Physics · Physics 2018-11-01 F. Bormann , R. H. J. Peerlings , M. G. D. Geers

In this paper we present a novel non-parametric method of simplifying piecewise linear curves and we apply this method as a statistical approximation of structure within sequential data in the plane. We consider the problem of minimizing…

Computational Geometry · Computer Science 2012-05-31 Stephane Durocher , Alexandre Leblanc , Jason Morrison , Matthew Skala

This work explores an unexpected application of Implicit Computational Complexity (ICC) to parallelize loops in imperative programs. Thanks to a lightweight dependency analysis, our algorithm allows splitting a loop into multiple loops that…

Programming Languages · Computer Science 2022-06-20 Clément Aubert , Thomas Rubiano , Neea Rusch , Thomas Seiller

Including terrain in atmospheric models gives rise to mesh distortions near the lower boundary that can degrade accuracy and challenge the stability of transport schemes. Multidimensional transport schemes avoid splitting errors on…

Numerical Analysis · Mathematics 2017-05-24 James Shaw , Hilary Weller , John Methven , Terry Davies

We present a new method that includes three key components of distributed optimization and federated learning: variance reduction of stochastic gradients, partial participation, and compressed communication. We prove that the new method has…

Machine Learning · Computer Science 2024-01-04 Alexander Tyurin , Peter Richtárik

In this paper, we propose an efficient quadratic interpolation formula utilizing solution gradients computed and stored at nodes and demonstrate its application to a third-order cell-centered finite-volume discretization on tetrahedral…

Numerical Analysis · Mathematics 2023-07-07 Hiroaki Nishikawa , Jeffery A. White