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In this paper, we present a new immersed finite element scheme for solving elliptic interface problems on unfitted meshes by combining the skeletal finite element method (FEM) with the standard FEM. The skeletal FEM is used for the…

Numerical Analysis · Mathematics 2025-09-17 Lin Yang , Qilong Zhai

This paper introduces a new Finite Element biomechanical model of the human face, which has been developed to be integrated into a simulator for plastic and maxillo-facial surgery. The idea is to be able to predict, from an aesthetic and…

Medical Physics · Physics 2007-05-23 Matthieu Chabanas , Yohan Payan

The recently proposed soft finite element method (SoftFEM) reduces the stiffness (condition numbers), consequently improving the overall approximation accuracy. The method subtracts a least-square term that penalizes the gradient jumps…

Numerical Analysis · Mathematics 2024-02-27 Jipei Chen , Victor M. Calo , Quanling Deng

Forward and backward scattering provide complementary volumetric and interfacial information, yet conventional three-dimensional (3D) imaging typically accesses only one. In this Letter, we present a substrate-enhanced diffraction…

Optics · Physics 2026-03-05 Tongyu Li , Yi Shen , Dashan Dong , Danchen Jia , Jianpeng Ao , Ji-Xin Cheng , Lei Tian

This work introduces a method for preprocessing measurements of electrical impedance tomography to considerably reduce the effect uncertainties in the electrode contacts have on the reconstruction quality, without a need to explicitly…

Numerical Analysis · Mathematics 2024-12-20 Altti Jääskeläinen , Jussi Toivanen , Asko Hänninen , Ville Kolehmainen , Nuutti Hyvönen

Electromagnetic (EM) imaging is widely applied in sensing for security, biomedicine, geophysics, and various industries. It is an ill-posed inverse problem whose solution is usually computationally expensive. Machine learning (ML)…

Computational Physics · Physics 2022-07-27 Rui Guo , Tianyao Huang , Maokun Li , Haiyang Zhang , Yonina C. Eldar

This paper presents a computational model, based on the Finite Element Method (FEM), that simulates the thermal response of laser-irradiated tissue. This model addresses a gap in the current ecosystem of surgical robot simulators, which…

Integration of multimodal information from various sources has been shown to boost the performance of machine learning models and thus has received increased attention in recent years. Often such models use deep modality-specific networks…

Machine Learning · Computer Science 2022-11-22 Shiv Shankar , Laure Thompson , Madalina Fiterau

The use of the Factorization method for Electrical Impedance Tomography has been proved to be very promising for applications in the case where one wants to find inhomogeneous inclusions in a known background. In many situations, the…

Analysis of PDEs · Mathematics 2015-06-18 Nicolas Chaulet , Simon Arridge , Timo Betcke , David Holder

Multimode interference reflectors (MIRs) were recently introduced as a new type of photonic integrated devices for on-chip, broadband light reflection. In the original proposal, different MIRs were demonstrated based on total internal…

Optics · Physics 2015-07-30 Javier S. Fandiño , José D. Doménech , Pascual Muñoz

With the advent of 3D printers in different price ranges and sizes, they are no longer just for professionals. However, it is still challenging to use a 3D printer perfectly. Especially, in the case of the Fused Deposition Method, it is…

Signal Processing · Electrical Eng. & Systems 2022-03-24 Harim Jeong , Joo Hun Yoo

The factor graph framework is a convenient modeling technique for robotic state estimation where states are represented as nodes, and measurements are modeled as factors. When designing a sensor fusion framework for legged robots, one often…

Robotics · Computer Science 2019-05-22 Ross Hartley , Maani Ghaffari Jadidi , Lu Gan , Jiunn-Kai Huang , Jessy W. Grizzle , Ryan M. Eustice

The approach applicable for spatially inhomogeneous and time-dependent problems associated with the induced superconductivity in low dimensional electronic systems is developed. This approach is based on the Fano--Anderson model which…

Superconductivity · Physics 2011-05-11 N. B. Kopnin , A. S. Melnikov

Momentum-resolved scanning transmission electron microscopy (MRSTEM) is a powerful phase-contrast technique that can map lateral magnetic and electric fields ranging from the micrometer to the subatomic scale. Resolving fields ranging from…

This work is motivated by the need of efficient numerical simulations of gas flows in the serpentine channels used in proton-exchange membrane fuel cells. In particular, we consider the Poisson problem in a 2D domain composed of several…

Numerical Analysis · Mathematics 2023-12-14 Hussein Albazzal , Alexei Lozinski , Roberta Tittarelli

Recent advancements in large foundation models have shown promising potential in the medical industry due to their flexible prompting capability. One such model, the Segment Anything Model (SAM), a prompt-driven segmentation model, has…

Computer Vision and Pattern Recognition · Computer Science 2023-08-16 Qi Wu , Yuyao Zhang , Marawan Elbatel

This paper introduces an accurate edge-based smoothed finite element method (ES-FEM) for electromagnetic analysis for both two dimensional cylindrical and three dimensional cartesian systems, which shows much better performance in terms of…

Computational Engineering, Finance, and Science · Computer Science 2019-10-30 Yangfan Zhang , Pengfei Wang , Wenping Li , Shunchuan Yang

Modelling high temperature superconductor (HTS) motors remains challenging mainly due to the high aspect ratio of these conductors but also because of the properties of the magnetic materials. This paper presents a 2D time dependent model…

Concurrent TMS-fMRI involves administrating TMS while subjects are inside an MRI scanner and allows the study of the effects of neurostimulation on simultaneous brain activity. Despite its high promise, the technique has proven challenging…

Neurons and Cognition · Quantitative Biology 2022-04-12 Samuel Goldstein , Farshad Rafiei , Dobromir Rahnev

The complex physics behind electroadhesion-based tactile displays poses an enormous modeling challenge since not only the fingerpad structure with multiple nonlinear layers, but also the roughness at the microscopic scale play a decisive…

Soft Condensed Matter · Physics 2022-12-19 Fabian Forsbach , Markus Heß , Antonio Papangelo