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We explore a new way to handle flux boundary conditions imposed on level sets. The proposed approach is a diffuse interface version of the shifted boundary method (SBM) for continuous Galerkin discretizations of conservation laws in…

Numerical Analysis · Mathematics 2022-05-11 Dmitri Kuzmin , Jan-Phillip Bäcker

Many interfacial phenomena in physical and biological systems are dominated by high order geometric quantities such as curvature. Here a semi-implicit method is combined with a level set jet scheme to handle stiff nonlinear advection…

Numerical Analysis · Mathematics 2016-08-22 Guhan Velmurugan , Ebrahim M. Kolahdouz , David Salac

This study presents an efficient algebraic scheme known as MULES for sharp interface advection, verified against various schemes including first-order upwind, second-order central, van Leer flux limiter, and Geometric Volume-of-Fluid (VOF).…

Fluid Dynamics · Physics 2024-10-23 Mehran Sharifi

We present compact semi-implicit finite difference schemes on structured grids for numerical solutions of the advection by an external velocity and by a speed in normal direction that are applicable in level set methods. The most involved…

Numerical Analysis · Mathematics 2023-12-01 Peter Frolkovič , Nikola Gajdošová

The subgraph-centric programming model is a promising approach and has been applied in many state-of-the-art distributed graph computing frameworks. However, traditional graph partition algorithms have significant difficulties in processing…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-08 Shuai Zhang , Zite Jiang , Xingzhong Hou , Zhen Guan , Mengting Yuan , Haihang You

A hybrid sharp-interface immersed-boundary/front-tracking (IB/FT) method is developed for interface-resolved simulation of evaporating droplets in incompressible multiphase flows. A one-field formulation is used to solve the flow, species…

Fluid Dynamics · Physics 2025-10-30 Faraz Salimnezhad , Hasret Turkeri , Iskender Gokalp , Metin Muradoglu

We introduce and analyze a lower envelope method (LEM) for the tracking of interfaces motion in multiphase problems. The main idea of the method is to define the phases as the regions where the lower envelope of a set of functions coincides…

Numerical Analysis · Mathematics 2021-12-07 Antoine Laurain

This paper studies a new multi-device edge artificial-intelligent (AI) system, which jointly exploits the AI model split inference and integrated sensing and communication (ISAC) to enable low-latency intelligent services at the network…

Information Theory · Computer Science 2022-07-05 Dingzhu Wen , Peixi Liu , Guangxu Zhu , Yuanming Shi , Jie Xu , Yonina C. Eldar , Shuguang Cui

We present a novel method of integrating motion and appearance cues for foreground object segmentation in unconstrained videos. Unlike conventional methods encoding motion and appearance patterns individually, our method puts particular…

Computer Vision and Pattern Recognition · Computer Science 2019-04-17 Chunchao Guo , Jianhuang Lai , Xiaohua Xie

We present a new fixed mesh algorithm for solving a class of interface inverse problems for the typical elliptic interface problems. These interface inverse problems are formulated as shape optimization prob- lems whose objective…

Numerical Analysis · Mathematics 2018-10-18 Ruchi Guo , Tao Lin , Yanping Lin

We present an enhanced immersed interface method for simulating incompressible fluid flows in thin gaps between closely spaced immersed boundaries. This regime, common in engineered structures such as including tribological interfaces and…

Fluid Dynamics · Physics 2026-03-17 Michael J. Facci , Qi Sun , Boyce E. Griffith

Dimensionally split advection schemes are attractive for atmospheric modelling due to their efficiency and accuracy in each spatial dimension. Accurate long time-steps can be achieved without significant cost using the flux-form…

Numerical Analysis · Mathematics 2017-01-25 Yumeng Chen , Hilary Weller , Stephen Pring , James Shaw

Interaction methods based on computer-vision hold the potential to become the next powerful technology to support breakthroughs in the field of human-computer interaction. Non-invasive vision-based techniques permit unconventional…

Human-Computer Interaction · Computer Science 2017-07-27 Chamin Morikawa , Michael J. Lyons

Phase field modelling offers an extremely general framework to predict microstructural evolutions in complex systems. However, its computational implementation requires a discretisation scheme with a grid spacing small enough to preserve…

Computational Physics · Physics 2018-07-18 Alphonse Finel , Yann Le Bouar , Benoît Dabas , Benoît Appolaire

The paper introduces an adaptive version of the stabilized Trace Finite Element Method (TraceFEM) designed to solve low-regularity elliptic problems on level-set surfaces using a shape-regular bulk mesh in the embedding space. Two…

Numerical Analysis · Mathematics 2024-08-21 Timo Heister , Maxim A. Olshanskii , Vladimir Yushutin

A systematic analysis of the cell behavior requires automated approaches for cell segmentation and tracking. While deep learning has been successfully applied for the task of cell segmentation, there are few approaches for simultaneous cell…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Katharina Löffler , Ralf Mikut

A new finite element method (FEM) using meshes that do not necessarily align with the interface is developed for two- and three-dimensional anisotropic elliptic interface problems with nonhomogeneous jump conditions. The degrees of freedom…

Numerical Analysis · Mathematics 2025-05-20 Haifeng Ji , Zhilin Li

We propose a novel approach to approximate numerically shock waves. The method combines the unstructured shock-fitting approach developed in the last decade by some of the authors, with ideas coming from embedded boundary techniques. The…

Numerical Analysis · Mathematics 2024-02-22 Mirco Ciallella , Mario Ricchiuto , Renato Paciorri , Aldo Bonfiglioli

Appearance-based supervised methods with full-face image input have made tremendous advances in recent gaze estimation tasks. However, intensive human annotation requirement inhibits current methods from achieving industrial level accuracy…

Computer Vision and Pattern Recognition · Computer Science 2024-07-02 Yangzhou Jiang , Yinxin Lin , Yaoming Wang , Teng Li , Bilian Ke , Bingbing Ni

The advent of the Edge Computing (EC) leads to a huge ecosystem where numerous nodes can interact with data collection devices located close to end users. Human detection and tracking can be realized at edge nodes that perform the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-21 Fesatidis Georgios , Bratsos Dimitrios , Kostas Kolomvatsos