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Mesh-based simulations play a key role when modeling complex physical systems that, in many disciplines across science and engineering, require the solution of parametrized time-dependent nonlinear partial differential equations (PDEs). In…

数值分析 · 数学 2023-08-04 Nicola Rares Franco , Stefania Fresca , Filippo Tombari , Andrea Manzoni

Unlike other tissue types, the nervous tissue extends to a wide and complex environment that provides a plurality of different biochemical and topological stimuli which in turn define the functions of that tissue. As a consequence of such…

生物物理 · 物理学 2022-06-01 L. Papadimitriou , P. Manganas , A. Ranella , E. Stratakis

Large Foundation Models (LFMs) have demonstrated significant advantages in civil engineering, but they primarily focus on textual and visual data, overlooking the rich semantic, spatial, and topological features in BIM (Building Information…

机器学习 · 计算机科学 2025-09-30 Jin Han , Xin-Zheng Lu , Jia-Rui Lin

An optimization scheme using the Cell-based Smoothed Finite Element Method (CS-FEM) combined with a Genetic Algorithm (GA) framework is proposed in this paper to design shape adaptive laminated composite marine propellers. The proposed…

Surface defect inspection is an important task in industrial inspection. Deep learning-based methods have demonstrated promising performance in this domain. Nevertheless, these methods still suffer from misjudgment when encountering…

计算机视觉与模式识别 · 计算机科学 2023-09-25 Xiaoheng Jiang , Shilong Tian , Zhiwen Zhu , Yang Lu , Hao Liu , Li Chen , Shupan Li , Mingliang Xu

We present the analytical formulation and the finite element solution of a fractional-order nonlocal continuum model of a Euler-Bernoulli beam. Employing consistent definitions for the fractional-order kinematic relations, the governing…

数值分析 · 数学 2021-02-11 Sansit Patnaik , Sai Sidhardh , Fabio Semperlotti

Objective: To enable continuous, long-term neuro-monitoring on wearable devices by overcoming the computational bottlenecks of Transformer-based Electroencephalography (EEG) foundation models and the quantization challenges inherent to…

信号处理 · 电气工程与系统科学 2026-03-31 Anna Tegon , Nicholas Lehmann , Yawei Li , Andrea Cossettini , Luca Benini , Thorir Mar Ingolfsson

Cellular morphodynamics requires solving systems of coupled partial differential equations on moving bulk and surface domains, where advection-dominant transport, structure preservation, and severe mesh distortions make robust simulation…

数值分析 · 数学 2026-01-12 Alessandro Contri , André Massing , Padmini Rangamani

In this paper, a cell based smoothed finite element method with discrete shear gap technique is employed to study the static bending, free vibration, mechanical and thermal buckling behaviour of functionally graded material (FGM) plates.…

数值分析 · 数学 2013-06-21 S Natarajan , AJM Ferreira , S Bordas , E Carrera , M Cinefra , AM Zenkour

Fourier solvers have become efficient tools to establish structure-property relations in heterogeneous materials. Introduced as an alternative to the Finite Element (FE) method, they are based on fixed-point solutions of the…

Large language models (LLMs) are catalyzing the development of autonomous AI research agents for scientific and engineering discovery. We present FM Agent, a novel and general-purpose multi-agent framework that leverages a synergistic…

Finite element analysis (FEA) can be used to evaluate applied interface pressures and internal tissue strains for computational prosthetic socket design. This type of framework requires realistic patient-specific limb geometry and…

医学物理 · 物理学 2022-11-24 Bryan J. Ranger , Kevin M. Moerman , Brian W. Anthony , Hugh M. Herr

Agent-based modeling (ABM) is a powerful computational approach for studying complex biological and biomedical systems, yet its widespread use remains limited by significant computational demands. As models become increasingly…

定量方法 · 定量生物学 2025-04-17 Kerri-Ann Norton , Daniel Bergman , Harsh Vardhan Jain , Trachette Jackson

The Finite Element Method (FEM) is a well-established procedure for computing approximate solutions to deterministic engineering problems described by partial differential equations. FEM produces discrete approximations of the solution with…

We present families of space-time finite element methods (STFEMs) for a coupled hyperbolic-parabolic system of poro- or thermoelasticity. Well-posedness of the discrete problems is proved. Higher order approximations inheriting most of the…

数值分析 · 数学 2023-03-14 Mathias Anselmann , Markus Bause , Nils Margenberg , Pavel Shamko

Aortic aneurysm disease ranks consistently in the top 20 causes of death in the U.S. population. Thoracic aortic aneurysm is manifested as an abnormal bulging of thoracic aortic wall and it is a leading cause of death in adults. From the…

图像与视频处理 · 电气工程与系统科学 2025-10-09 Jiasong Chen , Linchen Qian , Ruonan Gong , Christina Sun , Tongran Qin , Thuy Pham , Caitlin Martin , Mohammad Zafar , John Elefteriades , Wei Sun , Liang Liang

Multiscale topology optimization is crucial for designing porous infill structures with high stiffness-to-weight ratios and excellent energy absorption. Although gradient-based methods provide a rigorous framework, they are computationally…

最优化与控制 · 数学 2025-10-13 Shuzhi Xu , Yifan Guo , Hiroki Kawabe , Kentaro Yaji

The recent popularity of foundation models and the pre-train-and-adapt paradigm, where a large-scale model is transferred to downstream tasks, is gaining attention for volumetric medical image segmentation. However, current transfer…

计算机视觉与模式识别 · 计算机科学 2025-05-12 Julio Silva-Rodríguez , Jose Dolz , Ismail Ben Ayed

In this work, we introduce a time memory formalism in poroelasticity model that couples the pressure and displacement. We assume this multiphysics process occurs in multicontinuum media. The mathematical model contains a coupled system of…

数值分析 · 数学 2022-01-20 Aleksei Tyrylgin , Maria Vasilyeva , Anatoly Alikhanov , Dongwoo Sheen

Rapid advancements in collection and dissemination of multi-platform molecular and genomics data has resulted in enormous opportunities to aggregate such data in order to understand, prevent, and treat human diseases. While significant…

统计方法学 · 统计学 2023-01-02 Rupam Bhattacharyya , Nicholas Henderson , Veerabhadran Baladandayuthapani