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In this paper, we develop a nonlinear reduction framework based on our recently introduced extended group finite element method. By interpolating nonlinearities onto approximation spaces defined with the help of finite elements, the…

数值分析 · 数学 2021-06-07 Kevin Tolle , Nicole Marheineke

In endovascular surgery, the precise identification of catheters and guidewires in X-ray images is essential for reducing intervention risks. However, accurately segmenting catheter and guidewire structures is challenging due to the limited…

计算机视觉与模式识别 · 计算机科学 2025-01-29 Tuong Do , Nghia Vu , Tudor Jianu , Baoru Huang , Minh Vu , Jionglong Su , Erman Tjiputra , Quang D. Tran , Te-Chuan Chiu , Anh Nguyen

Finite element models without simplifying assumptions can accurately describe the spatial and temporal distribution of heat in machine tools as well as the resulting deformation. In principle, this allows to correct for displacements of the…

计算工程、金融与科学 · 计算机科学 2018-11-20 Andreas Naumann , Daniel Ruprecht , Joerg Wensch

Dimensionality reduction in mechanical vibratory systems poses challenges for distributed structures including geometric nonlinearities, mainly because of the lack of invariance of the linear subspaces. A reduction method based on direct…

数值分析 · 数学 2022-05-26 Andrea Opreni , Alessandra Vizzaccaro , Attilio Frangi , Cyril Touzé

Quite a few future high precision space missions for testing Special and General Relativity will use optical resonators which are used for laser frequency stabilization. These devices are used for carrying out tests of the isotropy of light…

经典物理 · 物理学 2009-11-11 S. Scheithauer , C. Lämmerzahl

We present a cut finite element method for shape optimization in the case of linear elasticity. The elastic domain is defined by a level-set function, and the evolution of the domain is obtained by moving the level-set along a velocity…

数值分析 · 数学 2019-02-05 Erik Burman , Daniel Elfverson , Peter Hansbo , Mats G. Larson , Karl Larsson

In this paper, we present a finite element method (FEM) framework enhanced by an operator-adapted wavelet decomposition algorithm designed for the efficient analysis of multiscale electromagnetic problems. Usual adaptive FEM approaches,…

计算物理 · 物理学 2026-02-18 F. Şık , F. L. Teixeira , B. Shanker

This paper introduces a highly adaptive and automated approach for generating Finite Element (FE) discretization for a given realistic multi-compartment human head model obtained through magnetic resonance imaging (MRI) dataset. We aim at…

偏微分方程分析 · 数学 2023-07-17 Fernando Galaz Prieto , Joonas Lahtinen , Maryam Samavaki , Sampsa Pursiainen

In this article we present the numerical simulation of a dislocation incorporated into a Cosserat plate. The simulation is based on the mathematical model for bending of Cosserat elastic plates recently developed by the authors. The…

软凝聚态物质 · 物理学 2022-10-06 Lev Steinberg , Roman Kvasov

Accurate deformable object manipulation (DOM) is essential for achieving autonomy in robotic surgery, where soft tissues are being displaced, stretched, and dissected. Many DOM methods can be powered by simulation, which ensures realistic…

机器人学 · 计算机科学 2024-05-31 Xiao Liang , Fei Liu , Yutong Zhang , Yuelei Li , Shan Lin , Michael Yip

We introduce an efficient finite-element approach for large-scale real-space pseudopotential density functional theory (DFT) calculations incorporating noncollinear magnetism and spin-orbit coupling. The approach, implemented within the…

材料科学 · 物理学 2025-06-11 Nikhil Kodali , Phani Motamarri

A general approach to simulate the mechanical behavior of textile materials by taking into account all their constitutive elementary fibers and contacts between them is presented in this paper. A finite element code, based on an implicit…

材料科学 · 物理学 2009-12-08 Damien Durville

Accurately depicting multiphysics interactions in interfacial systems requires computational frameworks capable of reconciling geometric adaptability with strict conservation fidelity. However, traditional spatiotemporal discretisation…

计算工程、金融与科学 · 计算机科学 2025-11-18 Suhaib Ardah , Francisco J. Profito , Daniele Dini

This work presents a finite element method for simulating dynamic processes that involve the coupled evolution of dislocation motion and crack propagation. The method numerically solves the Concurrent Atomistic-Continuum (CAC) formulation…

材料科学 · 物理学 2025-12-01 Boyang Gu , Adrian Diaz , Yang Li , Youping Chen

Finite element analysis of soft tissues is a well-developed method that allows estimation of mechanical quantities (e.g. stresses, strains). A constitutive law has to be used to characterise the individual tissues. This is complex as…

医学物理 · 物理学 2023-12-08 Nolwenn Fougeron , Alessio Trebbi , Bethany Keenan , Yohan Payan , Gregory Chagnon

Proptosis is characterized by a protrusion of the eyeball due to an increase of the orbital tissue volume. To recover a normal eyeball positioning, the most frequent surgical technique (BROD technique) consists in the osteotomy of orbital…

医学物理 · 物理学 2007-05-23 Vincent Luboz , Dominique Ambard , Franck Boutault , Pascal Swider , Yohan Payan

We present theoretical analysis of the astrometric searches for extrasolar planets with the Space Interferometry Mission (SIM). Particularly, we derive a model for the future measurements with SIM and discuss the problem of reliable…

天体物理学 · 物理学 2007-05-23 Maciej Konacki , Andrzej J. Maciejewski , Alex Wolszczan

We consider the common problem setting of an elastic sphere impacting on a flexible beam. In contrast to previous studies, we analyze the modal energy distribution induced by the impact, having in mind the particular application of impact…

系统与控制 · 电气工程与系统科学 2022-07-05 Felix Gehr , Timo Theurich , Carlo Monjaraz-Tec , Johann Gross , Stefan Schwarz , Andreas Hartung , Malte Krack

In this paper, an opto-thermal analysis of a moderately heated lightweighted solar telescope mirror is carried out using 3D finite element analysis (FEA). A physically realistic heat transfer model is developed to account for the radiative…

天体物理仪器与方法 · 物理学 2015-06-15 Ravinder K. Banyal , B. Ravindra , S. Chatterjee

Reconstructing cardiac electrical activity from body surface electric potential measurements results in the severely ill-posed inverse problem in electrocardiography. Many different regularization approaches have been proposed to improve…

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