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We introduce a method that combines neural operators, physics-informed machine learning, and standard numerical methods for solving PDEs. The proposed approach extends each of the aforementioned methods and unifies them within a single…

计算工程、金融与科学 · 计算机科学 2025-12-02 Shahed Rezaei , Reza Najian Asl , Kianoosh Taghikhani , Ahmad Moeineddin , Michael Kaliske , Markus Apel

A 3-D porous apatite scaffold (B-HA), recently obtained through biomorphic transformation of a natural wood, is investigated on its multi-scale porous structure determining superior mechanical properties and biological behaviour. B-HA shows…

Soft materials such as rubbers, hydrogels, and biological tissues undergo damage in the form of stiffness degradation without apparent changes in their stress-free geometry. Accurate simulation of this behavior is critical in applications…

计算工程、金融与科学 · 计算机科学 2026-04-07 Mark Wilkinson , Amirhossein Amiri-Hezaveh , Adrian Buganza Tepole

The capacity to predict and control bioprocesses is perhaps one of the most important objectives of biotechnology. Computational simulation is an established methodology for the design and optimization of bioprocesses, where the finite…

计算工程、金融与科学 · 计算机科学 2015-08-12 R. C. Martins , N. Fachada

Functional connectivity (FC) derived from resting-state fMRI plays a critical role in personalized predictions such as age and cognitive performance. However, applying foundation models(FM) to fMRI data remains challenging due to its high…

神经元与认知 · 定量生物学 2025-08-26 Yanwen Wang , Xinglin Zhao , Yijin Song , Xiaobo Liu , Yanrong Hao , Rui Cao , Xin Wen

The aim of this paper is to develop a multiscale hierarchical hybrid model based on finite element analysis and neural network computation to link mesoscopic scale (trabecular network level) and macroscopic (whole bone level) to simulate…

医学物理 · 物理学 2011-07-20 Ridha Hambli , Abdelwahed Barkaoui

Data driven approaches have the potential to make modeling complex, nonlinear physical phenomena significantly more computationally tractable. For example, computational modeling of fracture is a core challenge where machine learning…

机器学习 · 计算机科学 2025-10-01 Erfan Hamdi , Emma Lejeune

An interpretable and scalable framework for decoding driving behaviors from multimodal physiological signals is proposed in this study. We utilize multimodal physiological driving behavior large-scale dataset comprising synchronized…

Advanced slot and winding designs are imperative to create future high performance electrical machines (EM). As a result, the development of methods to design and improve slot filling factor (SFF) has attracted considerable research. Recent…

信号处理 · 电气工程与系统科学 2025-03-04 Pedram Asef , Christopher Vagg

Finite element simulations are essential in biomechanics, enabling detailed modeling of tissues and organs. However, architectural inefficiencies in current hardware and software stacks limit performance and scalability, especially for…

硬件体系结构 · 计算机科学 2025-10-21 Hana Chitsaz , Johnson Umeike , Amirmahdi Namjoo , Babak N. Safa , Bahar Asgari

We present a phase field formulation for fracture in functionally graded materials (FGMs). The model builds upon homogenization theory and accounts for the spatial variation of elastic and fracture properties. Several paradigmatic case…

Several authors have employed Finite Element Analysis (FEA) for stress and strain analysis in orthopaedic biomechanics. Unfortunately, the use of three-dimensional models is time consuming and consequently the number of analysis to be…

医学物理 · 物理学 2016-08-16 Béatrice Couteau , Yohan Payan , Stéphane Lavallee

The Scaled Boundary Finite Element Method (SBFEM) is a technique in which approximation spaces are constructed using a semi-analytical approach. They are based on partitions of the computational domain by polygonal/polyhedral subregions,…

数值分析 · 数学 2021-04-07 Karolinne O. Coelho , Philippe R. B. Devloo , Sonia M. Gomes

Functionally graded porous plates have been validated as remarkable lightweight structures with excellent mechanical characteristics and numerous applications. With inspiration from the high strength-to-volume ratio of triply periodic…

材料科学 · 物理学 2023-04-11 H. Nguyen-Xuan , Kim Q. Tran , Chien H. Thai , Jaehong Lee

Continuum robots offer high flexibility and multiple degrees of freedom, making them ideal for navigating narrow lumens. However, accurately modeling their behavior under large deformations and frequent environmental contacts remains…

机器人学 · 计算机科学 2025-03-11 Hao Chen , Jian Chen , Xinran Liu , Zihui Zhang , Yuanrui Huang , Zhongkai Zhang , Hongbin Liu

Finite Element Analysis (FEA) is a powerful but computationally intensive method for simulating physical phenomena. Recent advancements in machine learning have led to surrogate models capable of accelerating FEA. Yet there are still…

机器学习 · 计算机科学 2025-02-18 Georgios Triantafyllou , Panagiotis G. Kalozoumis , George Dimas , Dimitris K. Iakovidis

As FMs drive progress toward Artificial General Intelligence (AGI), fine-tuning them under privacy and resource constraints has become increasingly critical particularly when highquality training data resides on distributed edge devices.…

机器学习 · 计算机科学 2025-08-27 Gang Hu , Yinglei Teng , Pengfei Wu , Nan Wang

An innovative physics-guided learning algorithm for predicting the mechanical response of materials and structures is proposed in this paper. The key concept of the proposed study is based on the fact that physics models are governed by…

计算工程、金融与科学 · 计算机科学 2020-04-22 Houpu Yao , Yi Gao , Yongming Liu

We propose a finite-element local basis-based operator learning framework for solving partial differential equations (PDEs). Operator learning aims to approximate mappings from input functions to output functions, where the latter are…

数值分析 · 数学 2025-11-03 Zecheng Zhang , Hao Liu , Guosheng Fu , Hayden Schaeffer , Guang Lin

We propose an efficient and accurate parametric finite element method (PFEM) for solving sharp-interface continuum models for solid-state dewetting of thin films with anisotropic surface energies. The governing equations of the…

数值分析 · 数学 2017-01-10 Weizhu Bao , Wei Jiang , Yan Wang , Quan Zhao