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We present a data-driven, differentiable neural network model designed to learn the temperature field, its gradient, and the cooling rate, while implicitly representing the melt pool boundary as a level set in laser powder bed fusion. The…

This study evaluates three reconstruction methods for sparse climate data: the simple inverse distance weighting (IDW), the statistically grounded ordinary kriging (OK), and the advanced implicit neural representation model (MMGN…

机器学习 · 计算机科学 2025-12-16 Jakub Walczak

Restoring images degraded by adverse weather remains a significant challenge due to the highly non-uniform and spatially heterogeneous nature of weather-induced artifacts, e.g., fine-grained rain streaks versus widespread haze. Accurately…

计算机视觉与模式识别 · 计算机科学 2025-10-24 Hainuo Wang , Qiming Hu , Xiaojie Guo

The two-layer quasi-geostrophic equations (2QGE) serve as a simplified model for simulating wind-driven, stratified ocean flows. However, their numerical simulation remains computationally expensive due to the need for high-resolution…

数值分析 · 数学 2025-04-23 Lander Besabe , Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

Wind speed at sea surface is a key quantity for a variety of scientific applications and human activities. Due to the non-linearity of the phenomenon, a complete description of such variable is made infeasible on both the small scale and…

机器学习 · 计算机科学 2024-10-28 Matteo Zambra , Nicolas Farrugia , Dorian Cazau , Alexandre Gensse , Ronan Fablet

In this article, we propose a two-grid based adaptive proper orthogonal decomposition (POD) method to solve the time dependent partial differential equations. Based on the error obtained in the coarse grid, we propose an error indicator for…

数值分析 · 数学 2020-07-24 Xiaoying Dai , Xiong Kuang , Jack Xin , Aihui Zhou

We performed a comparative study of extraction of large-scale flow structures in Rayleigh B\'enard convection using proper orthogonal decomposition (POD) and {\em Fourier analysis}. We show that the free-slip basis functions capture the…

流体动力学 · 物理学 2017-05-30 Supriyo Paul , Mahendra K. Verma

The work discussed and presented in this paper focuses on the history matching of reservoirs by integrating 4D seismic data into the inversion process using machine learning techniques. A new integrated scheme for the reconstruction of…

图像与视频处理 · 电气工程与系统科学 2019-05-21 Clement Etienam

A posteriori reduced-order models (ROM), e.g. based on proper orthogonal decomposition (POD), are essential to affordably tackle realistic parametric problems. They rely on a trustful training set, that is a family of full-order solutions…

数值分析 · 数学 2025-01-07 Alba Muixí , Sergio Zlotnik , Matteo Giacomini , Pedro Díez

Land surface temperature (LST) retrieval from remote sensing data is pivotal for analyzing climate processes and surface energy budgets. However, LST retrieval is an ill-posed inverse problem, which becomes particularly severe when only a…

大气与海洋物理 · 物理学 2026-03-18 Tian Xie , Menghui Jiang , Huanfeng Shen , Huifang Li , Chao Zeng , Jun Ma , Guanhao Zhang , Liangpei Zhang

We apply dynamic mode decomposition (DMD) and proper orthogonal decomposition (POD) methods to flows in highly-heterogeneous porous media to extract the dominant coherent structures and derive reduced-order models via Galerkin projection.…

计算物理 · 物理学 2015-06-12 Mehdi Ghommem , Victor M. Calo , Yalchin Efendiev

The method of superposition is proposed in combination with a sparse $\ell_1$ optimisation algorithm with the aim of finding a sparse basis to accurately reconstruct the structural vibrations of a radiating object from a set of acoustic…

计算物理 · 物理学 2016-01-20 Nadia M. Abusag , David J. Chappell

Proper orthogonal decomposition (POD) is often employed in developing reduced-order models (ROM) in fluid flows for design, control, and optimization. Contrary to the usual practice where velocity field is the focus, we apply the POD…

计算工程、金融与科学 · 计算机科学 2020-10-27 Muhammad Sufyan , Hamayun Farooq , Imran Akhtar , Zafar Bangash

We consider integrated circuits with semiconductors modeled by modified nodal analysis and drift-diffusion equations. The drift-diffusion equations are discretized in space using mixed finite element method. This discretization yields a…

数值分析 · 数学 2010-03-03 Michael Hinze , Martin Kunkel

Fluid dynamics systems driven by dominant, nearly periodic large-scale dynamics are common across wakes, jets, rotating machinery, and high-speed flows. Traditional decomposition techniques such as proper orthogonal decomposition and…

流体动力学 · 物理学 2024-05-02 Akhileshwar Borra , Zoey Flynn , Andres Goza , Theresa Saxton-Fox

We study reduced-order models of three-dimensional perturbations in linearized channel flow using balanced proper orthogonal decomposition (BPOD). The models are obtained from three-dimensional simulations in physical space as opposed to…

最优化与控制 · 数学 2009-11-13 Miloš Ilak , Clarence W. Rowley

The simulation of atmospheric flows by means of traditional discretization methods remains computationally intensive, hindering the achievement of high forecasting accuracy in short time frames. In this paper, we apply three reduced order…

流体动力学 · 物理学 2023-07-19 Arash Hajisharifi , Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

We investigate a suitable application of Model Order Reduction (MOR) techniques for the numerical approximation of Turing patterns, that are stationary solutions of reaction-diffusion PDE (RD-PDE) systems. We show that solutions of…

数值分析 · 数学 2022-03-18 Alessandro Alla , Angela Monti , Ivonne Sgura

This contribution focuses on the development of Model Order Reduction (MOR) for one-way coupled steady state linear thermomechanical problems in a finite element setting. We apply Proper Orthogonal Decomposition (POD) for the computation of…

3D scene reconstruction is a long-standing vision task. Existing approaches can be categorized into geometry-based and learning-based methods. The former leverages multi-view geometry but can face catastrophic failures due to the reliance…

计算机视觉与模式识别 · 计算机科学 2023-08-11 Guangkai Xu , Wei Yin , Hao Chen , Chunhua Shen , Kai Cheng , Feng Zhao