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Engineering simulations are usually based on complex, grid-based, or mesh-free methods for solving partial differential equations. The results of these methods cover large fields of physical quantities at very many discrete spatial…

流体动力学 · 物理学 2025-08-08 Eduardo Di Costanzo , Niklas Kühl , Jean-Christophe Marongiu , Thomas Rung

Context. Three-dimensional (3D) reconnection is an important mechanism for efficiently releasing energy during astrophysical eruptive events, which is difficult to be quantitatively analyzed especially within turbulent plasmas. Aims. In…

太阳与恒星天体物理 · 物理学 2024-03-28 Yulei Wang , Xin Cheng , Yang Guo , Jinhan Guo , Mingde Ding

The regularized D-bar method is a popular method for solving Electrical Impedance Tomography (EIT) problems due to its efficiency and simplicity. It utilizes the low-pass truncated scattering data in the non-linear Fourier domain to solve…

数值分析 · 数学 2025-02-10 Xiang Cao , Qiaoqiao Ding , Xiaoqun Zhang

Despite being vastly ignored in the literature, coping with topological noise is an issue of increasing importance, especially as a consequence of the increasing number and diversity of 3D polygonal models that are captured by devices of…

图形学 · 计算机科学 2017-05-16 Asli Genctav , Yusuf Sahillioglu , Sibel Tari

We propose inertial versions of block coordinate descent methods for solving non-convex non-smooth composite optimization problems. Our methods possess three main advantages compared to current state-of-the-art accelerated first-order…

最优化与控制 · 数学 2020-06-03 Le Thi Khanh Hien , Nicolas Gillis , Panagiotis Patrinos

Conventional MRI reconstruction methods treat images and coil sensitivities as discrete objects, leading to high memory demands and limited structural awareness that hamper effective regularization. These limitations hinder accurate…

图像与视频处理 · 电气工程与系统科学 2026-05-12 Ray Sheombarsing , Max van Riel , David Heesterbeek , Nico van den Berg , Alessandro Sbrizzi

Accurate prediction of shallow water flows relies on precise bottom topography data, yet direct bathymetric surveys are expensive and time-consuming. In contrast, remote sensing platforms such as radar or satellite altimetry provide…

数值分析 · 数学 2026-03-13 Falko Ruppenthal , Dmitri Kuzmin

Reconstructing a 3D shape based on a single sketch image is challenging due to the large domain gap between a sparse, irregular sketch and a regular, dense 3D shape. Existing works try to employ the global feature extracted from sketch to…

计算机视觉与模式识别 · 计算机科学 2022-12-27 Chenjian Gao , Qian Yu , Lu Sheng , Yi-Zhe Song , Dong Xu

This paper presents a novel method for the reconstruction of 3D edges in multi-view stereo scenarios. Previous research in the field typically relied on video sequences and limited the reconstruction process to either straight…

计算机视觉与模式识别 · 计算机科学 2018-01-18 Andrea Bignoli , Andrea Romanoni , Matteo Matteucci

In this paper, we develop and numerically implement a novel approach for solving the inverse source problem of the acoustic wave equation in three dimensions. By injecting a small high-contrast droplet into the medium, we exploit the…

数值分析 · 数学 2026-01-23 Shutong Hou , Mourad Sini , Haibing Wang

Seawater intrusion (SWI) is a complex process, where 3D modeling is often necessary in order to monitor and manage the affected aquifers. Here, we present a synthetic study to test a joint hydrogeophysical inversion approach aimed at…

地球物理 · 物理学 2016-08-05 K. Steklova , E. Haber

In this work, we investigate a class of elliptic inverse problems and aim to simultaneously recover multiple inhomogeneous inclusions arising from two different physical parameters, using very limited boundary Cauchy data collected only at…

数值分析 · 数学 2020-06-05 Yat Tin Chow , Fuqun Han , Jun Zou

The inversion of electromagnetic induction data to a conductivity profile is an ill-posed problem. Regularization improves the stability of the inversion and, based on Occam's razor principle, a smoothing constraint is typically used.…

地球物理 · 物理学 2021-05-19 Wouter Deleersnyder , Benjamin Maveau , Thomas Hermans , David Dudal

This paper presents a density-based topology optimization method for designing three-dimensional (3D) compliant mechanisms and loadbearing structures with design-dependent pressure loading. Instead of interface-tracking techniques, the…

计算工程、金融与科学 · 计算机科学 2021-06-22 Prabhat Kumar , Matthijs Langelaar

In this work we present a novel computational method for embedding arbitrary curved one-dimensional (1D) fibers into three-dimensional (3D) solid volumes, as e.g. in fiber-reinforced materials. The fibers are explicitly modeled with highly…

计算工程、金融与科学 · 计算机科学 2023-08-25 Ivo Steinbrecher , Matthias Mayr , Maximilian J. Grill , Johannes Kremheller , Christoph Meier , Alexander Popp

We propose a new approach for reconstructing the 3D spatial distribution of small dislocation loops (DLs) from 2D TEM micrographs. This method is demonstrated for small DLs in tungsten, formed by low-dose ion-implantation, that appear as…

材料科学 · 物理学 2018-04-04 Hongbing Yu , Xiaoou Yi , Felix Hofmann

Pipe inspection is a critical task for many industries and infrastructure of a city. The 3D information of a pipe can be used for revealing the deformation of the pipe surface and position of the camera during the inspection. In this paper,…

计算机视觉与模式识别 · 计算机科学 2020-07-06 Sho kagami , Hajime Taira , Naoyuki Miyashita , Akihiko Torii , Masatoshi Okutomi

Four different applications of spectral proper orthogonal decomposition (SPOD): low-rank reconstruction, denoising, frequency-time analysis, and prewhitening are demonstrated on large-eddy simulation data of a turbulent jet. SPOD-based…

流体动力学 · 物理学 2021-09-22 Akhil Nekkanti , Oliver T. Schmidt

In the framework of accurate and efficient segregated schemes for 3D cardiac electromechanics and 0D cardiovascular models, we propose here a novel numerical approach to address the coupled 3D-0D problem introduced in Part I of this…

This work puts forward a form finding problem of designing a least-volume vault that is a surface structure spanning over a plane region, which via pure compression transfers a vertically tracking load to the supporting boundary. Through a…

最优化与控制 · 数学 2021-04-16 Karol Bołbotowski