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In this paper we study a system of advection-diffusion equations in a bulk domain coupled to an advection-diffusion equation on an embedded surface. Such systems of coupled partial differential equations arise in, for example, the modeling…

Numerical Analysis · Mathematics 2014-12-09 Sven Gross , Maxim A. Olshanskii , Arnold Reusken

Local feature extraction is a standard approach in computer vision for tackling important tasks such as image matching and retrieval. The core assumption of most methods is that images undergo affine transformations, disregarding more…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Guilherme Potje , Felipe Cadar , Andre Araujo , Renato Martins , Erickson R. Nascimento

In recent years, Discriminative Correlation Filter (DCF) based tracking methods have achieved great success in visual tracking. However, the multi-resolution convolutional feature maps trained from other tasks like image classification,…

Computer Vision and Pattern Recognition · Computer Science 2018-11-07 Qiangqiang Wu , Yan Yan , Yanjie Liang , Yi Liu , Hanzi Wang

Light-Field (LF) image is emerging 4D data of light rays that is capable of realistically presenting spatial and angular information of 3D scene. However, the large data volume of LF images becomes the most challenging issue in real-time…

Image and Video Processing · Electrical Eng. & Systems 2024-09-19 Shiyu Feng , Yun Zhang , Linwei Zhu , Sam Kwong

We present a finite element discretisation to model the interaction between a poroelastic structure and an elastic medium. The consolidation problem considers fully coupled deformations across an interface, ensuring continuity of…

Numerical Analysis · Mathematics 2023-06-21 S. Badia , M. Hornkjøl , A. Khan , K. -A. Mardal , A. F. Martín , R. Ruiz-Baier

In a companion article (Part 1), we presented the development of a thick continuum-based (CB) shell finite element (FE) based on Mindlin-Reissner theory. We verified the accuracy, efficiency and locking insensitivity of the element in…

Numerical Analysis · Mathematics 2018-01-15 Bahareh Momenan , Michel R. Labrosse

The homogenized harmonic balance finite element (FE) method enables efficient nonlinear eddy-current simulations of 3-D devices with lamination stacks by combining the harmonic balance method with a frequency-domain-based homogenization…

Computational Engineering, Finance, and Science · Computer Science 2025-12-09 Jan-Magnus Christmann , Laura A. M. D'Angelo , Herbert De Gersem , Sven Pfeiffer , Sajjad H. Mirza

Dynamic Contrast-enhanced Magnetic Resonance Imaging (DCE-MRI) is an important tool for detecting subtle kinetic changes in cancerous tissue. Quantitative analysis of DCE-MRI typically involves the convolution of an arterial input function…

Applications · Statistics 2020-04-22 Volker J. Schmid , Brandon Whitcher , Anwar R. Padhani , Guang-Zhong Yang

In this paper, we propose an approach for solving PDEs on evolving surfaces using a combination of the trace finite element method and a fast marching method. The numerical approach is based on the Eulerian description of the surface…

Numerical Analysis · Mathematics 2017-02-13 Maxim A. Olshanskii , Xianmin Xu

In this paper, we study a numerical method for the solution of partial differential equations on evolving surfaces. The numerical method is built on the stabilized trace finite element method (TraceFEM) for the spatial discretization and…

Numerical Analysis · Mathematics 2018-03-23 Christoph Lehrenfeld , Maxim A. Olshanskii , Xianmin Xu

This paper presents a novel exact finite element formulation of quasi-3D beam for high-fidelity analysis of functionally graded sandwich beams. Unlike conventional displacement-based elements that rely on approximate interpolation functions…

Numerical Analysis · Mathematics 2026-01-21 Wenxiong Li , Suiyin Chen

In this paper, we develop an adaptive high-order surface finite element method (FEM) incorporating the spectral deferred correction method for chain contour discretization to solve polymeric self-consistent field equations on general curved…

Numerical Analysis · Mathematics 2021-08-03 Kai Jiang , Xin Wang , Jianggang Liu , Huayi Wei

Dark-field X-ray Microscopy (DFXM) is a novel diffraction-based imaging technique that non-destructively maps the local deformation from crystalline defects in bulk materials. While studies have demonstrated that DFXM can spatially map 3D…

We demonstrate the ability of a stabilized finite element method, inspired by the weighted Nitsche approach, to alleviate spurious traction oscillations at interlaminar interfaces in multi-ply multi-directional composite laminates. In…

Computational Engineering, Finance, and Science · Computer Science 2020-08-21 Gourab Ghosh , Ravindra Duddu , Chandrasekhar Annavarapu

The damping of built-up structures stems largely from the microscopic dry frictional interactions in the contact interfaces. The accurate prediction of friction damping has been an important scientific aim of the past several decades.…

Systems and Control · Electrical Eng. & Systems 2025-07-17 Hendrik D. Linder , Johann Gross , Malte Krack

We develop and demonstrate the first general computational tool for finite deformation static and dynamic dislocation mechanics. A finite element formulation of finite deformation (Mesoscale) Field Dislocation Mechanics theory is presented.…

Materials Science · Physics 2020-06-24 Rajat Arora , Xiaohan Zhang , Amit Acharya

This work presents a practical finite element modeling strategy, the Crack Element Method (CEM), for simulating the dynamic crack propagation in two-dimensional structures. The method employs an element-splitting algorithm based on the…

Computational Engineering, Finance, and Science · Computer Science 2025-08-04 Yuxi Xie , Ethan J. Wu , Lu Xu , Jimmy Perez , Shaofan Li

Uniaxial strain is a powerful tuning parameter that can control symmetry and anisotropic electronic properties in iron-based superconductors. However, accurately characterizing anisotropic strain can be challenging and complex. Here, we…

Superconductivity · Physics 2024-10-18 Ziye Mo , Chunyi Li , Wenting Zhang , Chang Liu , Yongxin Sun , Ruixian Liu , Xingye Lu

A higher-order accurate finite element method is proposed which uses automatically generated meshes based on implicit level-set data for the description of boundaries and interfaces in two and three dimensions. The method is an alternative…

Numerical Analysis · Computer Science 2017-06-06 T. P. Fries

Discriminant Correlation Filters (DCF) based methods now become a kind of dominant approach to online object tracking. The features used in these methods, however, are either based on hand-crafted features like HoGs, or convolutional…

Computer Vision and Pattern Recognition · Computer Science 2017-04-14 Qiang Wang , Jin Gao , Junliang Xing , Mengdan Zhang , Weiming Hu