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Accurate calibration of finite element (FE) models is essential across various biomechanical applications, including human intervertebral discs (IVDs), to ensure their reliability and use in diagnosing and planning treatments. However,…

The Generalized Finite Element Method (GFEM) is an extension of the Finite Element Method (FEM), where the standard finite element space is augmented with a space of non-polynomial functions, called the enrichment space. The functions in…

数值分析 · 数学 2016-03-30 Kenan Kergrene , Ivo Babuška , Uday Banerjee

Foundation models show great promise for generative tasks in many domains. Here we discuss the use of foundation models to generate structured documents related to critical assets. A Failure Mode and Effects Analysis (FMEA) captures the…

计算与语言 · 计算机科学 2024-11-11 Karol Lynch , Fabio Lorenzi , John Sheehan , Duygu Kabakci-Zorlu , Bradley Eck

In this paper, a cell-based smoothed finite element method with discrete shear gap technique for triangular ele- ments is employed to study the linear flutter characteristics of functionally graded material (FGM) flat panels. The influence…

数值分析 · 数学 2013-09-04 Sundararajan Natarajan , Karthik Kaleeswaran , Ganapathi Manickam

Bone repair using BMP-2 is a promising therapeutic approach in clinical practices, however, high dosages required to be effective pose issues of cost and safety. The present study explores the potential of low dose BMP-2 treatment via…

生物大分子 · 定量生物学 2020-11-24 Swati Dubey , Rutusmita Mishra , Partha Roy , R. P. Singh

Traditional sheet metal forming relies on time-consuming and expensive Finite Element Analysis (FEA) for design validation, a process that significantly prolongs design cycles. While surrogate models offer faster iteration, current…

机器学习 · 计算机科学 2026-05-20 Jiajie Luo , Mohamed Mohamed , Osama Hassan , Haosu Zhou , Yingxue Zhao , Haoran Li , Xinrun Li , Zhutao Shao , Yang Long , Nan Li , Jichun Li

This study develops a polygonal cell-based smoothed finite element method (CSFEM) for two-dimensional seepage analyses in porous media, covering steady-state, transient, and free-surface problems. Wachspress interpolation on convex…

数值分析 · 数学 2026-02-19 Yang Yang , Mingjiao Yan , Zongliang Zhang , Yinpeng Yin , Qiang Liu , You liang Li

We introduce the Free Energy Manifold (FEM), a score-trained conditional energy model specialized for inference in hybrid Bayesian networks with discrete and continuous variables. FEM represents each conditional factor as an energy…

机器学习 · 计算机科学 2026-05-12 Cheol Young Park , Shou Matsumoto

In this paper a new integral equation solution to the elastic-plastic problem of functionally graded bars under torsional loading is presented. The formulation is general in the sense that it can be applied to an arbitrary cross-section…

数值分析 · 数学 2017-05-30 George C. Tsiatas , Nick G. Babouskos

Enhancing seismic fragility and risk assessment of nuclear power plants relies on accurate prediction of reactor building responses to seismic hazards, which can be further improved through dynamic analysis of high-fidelity finite element…

应用统计 · 统计学 2026-04-27 Taro Yaoyama , Sangwon Lee , Minoru Matsubara , Kenzo Kodera , Takeshi Ugata , Tatsuya Itoi

Soft actuators have attracted a great deal of interest in the context of rehabilitative and assistive robots for increasing safety and lowering costs as compared to rigid-body robotic systems. During actuation, soft actuators experience…

Functionally graded material (FGM) is a class of advanced materials, consisting of two (or more) different constituents, that possesses a continuously varying composition profile. With the advancement of nanotechnology, applications of FGMs…

This work presents a novel unfitted finite element framework to simulate coupled surface-bulk problems in time-dependent domains, focusing on fluid-fluid interactions in animal cells between the actomyosin cortex and the cytoplasm. The…

计算工程、金融与科学 · 计算机科学 2026-03-31 Eric Neiva , Hervé Turlier

Recent advancements in computations have enabled the application of various modeling approaches to predict fracture and failure, such as the gradient-damage (phasefield) method. Several existing studies have leveraged the heat equation…

软凝聚态物质 · 物理学 2026-01-14 Keven Alkhoury , Shawn A. Chester , Vikas Srivastava

This work presents a finite element-guided physics-informed operator learning framework for multiphysics problems with coupled partial differential equations (PDEs) on arbitrary domains. The proposed framework learns an operator from the…

机器学习 · 计算机科学 2026-04-22 Yusuke Yamazaki , Reza Najian Asl , Markus Apel , Mayu Muramatsu , Shahed Rezaei

For soft robots to work effectively in human-centered environments, they need to be able to estimate their state and external interactions based on (proprioceptive) sensors. Estimating disturbances allows a soft robot to perform desirable…

Finite element (FE) simulations of structures and materials are getting increasingly more accurate, but also more computationally expensive as a collateral result. This development happens in parallel with a growing demand of data-driven…

机器学习 · 计算机科学 2025-07-31 Leo Guo , Hirak Kansara , Siamak F. Khosroshahi , GuoQi Zhang , Wei Tan

Vertebral fractures are a consequence of osteoporosis, with significant health implications for affected patients. Unfortunately, grading their severity using CT exams is hard and subjective, motivating automated grading methods. However,…

A new method for implementing the kinetic energy operator for real-space, grid-based electronic structure codes is developed. It is based on multi-order Adaptive Finite Differencing (AFD) and uses atomic pseudo orbitals produced by the…

计算物理 · 物理学 2023-05-23 E. L. Briggs , Wenchang Lu , J. Bernholc

We introduce a fast Self-adapting Forward-Forward Network (SaFF-Net) for medical imaging analysis, mitigating power consumption and resource limitations, which currently primarily stem from the prevalent reliance on back-propagation for…

计算机视觉与模式识别 · 计算机科学 2024-07-18 Johanna P. Müller , Bernhard Kainz
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