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相关论文: A 3D-1D Virtual Element Method for Modeling Root W…

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This paper proposes a novel first-order and a novel second-order fully discrete virtual element schemes based on the scalar auxiliary variable method for the three dimensional inductionless magnetohydrodynamics problem. The backward Eular…

偏微分方程分析 · 数学 2024-12-13 Xianghai Zhou , Haiyan Su

The virtual element method (VEM) allows discretization of the problem domain with polygons in 2D. The polygons can have an arbitrary number of sides and can be concave or convex. These features, among others, are attractive for meshing…

数值分析 · 数学 2023-10-06 L. L. Yaw

Airborne acquisition and on-road mobile mapping provide complementary 3D information of an urban landscape: the former acquires roof structures, ground, and vegetation at a large scale, but lacks the facade and street-side details, while…

计算机视觉与模式识别 · 计算机科学 2016-09-07 András Bódis-Szomorú , Hayko Riemenschneider , Luc Van Gool

A hydraulic fracturing system with super-hydrophobic proppants is characterized by a transient triple-porosity Navier-Stokes model. For this complex multiphysics system, particularly in the context of three-dimensional space, a local…

数值分析 · 数学 2023-11-10 Luling Cao , Jian Li , Zhangxin Chen , Guangzhi Du

We present the Neural Approximated Virtual Element Method to numerically solve elasticity problems. This hybrid technique combines classical concepts from the Finite Element Method and the Virtual Element Method with recent advances in deep…

数值分析 · 数学 2025-07-09 Stefano Berrone , Moreno Pintore , Gioana Teora

In order to simulate the mechanical behavior of large structures assembled from thin composite panels, we propose a coupling technique which substitutes local 3D models for the global plate model in the critical zones where plate modeling…

数值分析 · 数学 2015-01-09 Guillaume Guguin , Olivier Allix , Pierre Gosselet , Stéphane Guinard

In this work, we propose the application of the eXtended Finite Element Method (XFEM) in the context of the coupling between three-dimensional and one-dimensional elliptic problems. In particular, we consider the case in which the 3D-1D…

数值分析 · 数学 2024-02-20 Denise Grappein , Stefano Scialó , Fabio Vicini

The paper presents a strategy to construct an incremental Singular Value Decomposition (SVD) for time-evolving, spatially 3D discrete data sets. A low memory access procedure for reducing and deploying the snapshot data is presented.…

数学软件 · 计算机科学 2023-02-21 Niklas Kühl , Hendrik Fischer , Michael Hinze , Thomas Rung

The quantitative analysis of 3D confocal microscopy images of the shoot apical meristem helps understanding the growth process of some plants. Cell segmentation in these images is crucial for computational plant analysis and many automated…

计算机视觉与模式识别 · 计算机科学 2017-10-30 Thiago V. Spina , Johannes Stegmaier , Alexandre X. Falcão , Elliot Meyerowitz , Alexandre Cunha

We develop a complementarity-constrained nonlinear optimization model for the time-dependent control of district heating networks. The main physical aspects of water and heat flow in these networks are governed by nonlinear and hyperbolic…

最优化与控制 · 数学 2020-04-22 Richard Krug , Volker Mehrmann , Martin Schmidt

Using Domain Decomposition (DD) algorithm on non--overlapping domains, we compare couplings of different discretisation models, such as Finite Element (FEM) and Reduced Order (ROM) models for separate subcomponents. In particular, we…

数值分析 · 数学 2025-05-14 Ivan Prusak , Davide Torlo , Monica Nonino , Gianluigi Rozza

A major weakness in one-dimensional (1D) stellar structure and evolution modeling is the simplified treatment of convection, which leads to erroneous near-surface stratification and considerable uncertainties in predicted effective…

We tackle the challenging problem of creating full and accurate three dimensional reconstructions of botanical trees with the topological and geometric accuracy required for subsequent physical simulation, e.g. in response to wind forces.…

计算机视觉与模式识别 · 计算机科学 2018-12-24 Ed Quigley , Winnie Lin , Yilin Zhu , Ronald Fedkiw

This paper tackles the challenging task of 3D visual grounding-locating a specific object in a 3D point cloud scene based on text descriptions. Existing methods fall into two categories: top-down and bottom-up methods. Top-down methods rely…

计算机视觉与模式识别 · 计算机科学 2024-10-22 Yang Liu , Daizong Liu , Wei Hu

This letter addresses the 3D coverage path planning (CPP) problem for terrain reconstruction of unknown obstacle rich environments. Due to sensing limitations, the proposed method, called CT-CPP, performs layered scanning of the 3D region…

机器人学 · 计算机科学 2021-12-03 Zongyuan Shen , Junnan Song , Khushboo Mittal , Shalabh Gupta

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

We present a virtual element method (VEM) for the numerical approximation of the electromagnetics subsystem of the resistive magnetohydrodynamics (MHD) model in two spatial dimensions. The major advantages of the virtual element method…

数值分析 · 数学 2020-04-27 S. Naranjo Alvarez , V. A. Bokil , V. Gyrya , G. Manzini

Multiscale finite element methods for 2D/1D problems have been studied in this work to demonstrate their excellent ability to solve real-world problems. These methods are much more efficient than conventional 3D finite element methods and…

数值分析 · 数学 2023-04-14 Karl Hollaus , Markus Schöbinger

The present work proposes an extension of the third medium contact method for solving structural topology optimization problems that involve and exploit self-contact. A new regularization of the void region, which acts as the contact…

计算工程、金融与科学 · 计算机科学 2021-03-15 Gore Lukas Bluhm , Ole Sigmund , Konstantinos Poulios

Acquiring 3D geometry of real world objects has various applications in 3D digitization, such as navigation and content generation in virtual environments. Image remains one of the most popular media for such visual tasks due to its…

计算机视觉与模式识别 · 计算机科学 2017-01-26 Shuai Du , Youyi Zheng