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This work highlights an approach for incorporating realistic uncertainties into scientific computing workflows based on finite elements, focusing on applications in computational mechanics and design optimization. We leverage Mat\'ern-type…

计算工程、金融与科学 · 计算机科学 2024-08-09 Tobias Duswald , Brendan Keith , Boyan Lazarov , Socratis Petrides , Barbara Wohlmuth

We propose a new algorithm for Adaptive Finite Element Methods (AFEMs) based on smoothing iterations (S-AFEM), for linear, second-order, elliptic partial differential equations (PDEs). The algorithm is inspired by the ascending phase of the…

数值分析 · 数学 2020-12-18 Ornela Mulita , Stefano Giani , Luca Heltai

As the span and width of continuous rigid bridges increase, the complexity of the spatial forces acting on these structures also grows, challenging traditional design methods. Primary beam theory often fails to accurately predict the…

Bolted joints can exhibit nonsmooth and significantly nonlinear dynamics. Finite Element Models (FEMs) of this phenomenon require fine spatial discretizations, inclusion of nonlinear contact and friction laws, as well as geometric…

动力系统 · 数学 2025-01-03 Ahmed Amr Morsy , Zhenwei Xu , Paolo Tiso , George Haller

In this paper, gradient-based optimization methods are combined with finite-element modeling for improving electric devices. Geometric design parameters are considered by affine decomposition of the geometry or by the design element…

As the rapid development of computer vision and the emergence of powerful network backbones and architectures, the application of deep learning in medical imaging has become increasingly significant. Unlike natural images, medical images…

图像与视频处理 · 电气工程与系统科学 2026-04-10 Guoqing Zhang , Jingyun Yang , Yang Li

Cantilevered beams are of immense importance as structural and sensorial members for a number of applications. Endowing tailorable elasticity can have wide ranging engineering ramification. Such tailorability could be possible using some…

软凝聚态物质 · 物理学 2019-11-07 Hessein Ali , Hossein Ebrahimi , Ranajay Ghosh

This work proposes a gradient-based method to design bone implants using triply-periodic minimal surfaces (TPMS) of spatially varying thickness to maximize bone in-growth. Bone growth into the implant is estimated using a finite element…

计算工程、金融与科学 · 计算机科学 2025-01-03 David Cohen , Julián A. Norato

Statistical learning additions to physically derived mathematical models are gaining traction in the literature. A recent approach has been to augment the underlying physics of the governing equations with data driven Bayesian statistical…

统计方法学 · 统计学 2022-05-25 Connor Duffin , Edward Cripps , Thomas Stemler , Mark Girolami

A new strategy with bone tissue engineering by mesenchymal stem cell transplantation on titanium implant has been dawn attention. The surface scaffold properties of titanium surface play an important role in bone regenerative potential of…

细胞行为 · 定量生物学 2010-05-03 Yukimichi Tamaki , Yu Kataoka , Takashi Miyazaki

Continual Federated Learning (CFL) is essential for enabling real-world applications where multiple decentralized clients adaptively learn from continuous data streams. A significant challenge in CFL is mitigating catastrophic forgetting,…

The widespread success of foundation models in natural language processing and computer vision has inspired researchers to extend the concept to scientific machine learning and computational science. However, this position paper argues that…

Endovascular aneurysm repair (EVAR) is a current alternative treatment for thoracic and abdominal aortic aneurysms, but is still sometimes compromised by possible complications such as device migration or endoleaks. In order to assist…

医学物理 · 物理学 2019-02-05 V. Acosta Santamaría , G. Daniel , D. Perrin , J. Albertini , E. Rosset , S. Avril

Melanoma is a malignant tumor that originates from skin cell lesions. Accurate and efficient segmentation of skin lesions is essential for quantitative analysis but remains a challenge due to blurred lesion boundaries, gradual color…

图像与视频处理 · 电气工程与系统科学 2025-07-03 Saqib Qamar , Syed Furqan Qadri , Roobaea Alroobaea , Goram Mufarah M Alshmrani , Richard Jiang

Fluid flow and mass transfer inside a bioreactor play a pivotal role in growing bone grafts, as cell proliferation is limited by the transport of nutrients and oxygen, as well as the removal of by-products from cells within the scaffold.…

生物物理 · 物理学 2025-01-09 Mohammad Osaid , Debabrata Dasgupta

We present a new phase field framework for modelling fracture and fatigue in Shape Memory Alloys (SMAs). The constitutive model captures the superelastic behaviour of SMAs and damage is driven by the elastic and transformation strain energy…

计算工程、金融与科学 · 计算机科学 2020-12-02 Marlini Simoes , Emilio Martínez-Pañeda

Cell-free translational strategies are needed to accelerate the repair of mineralised tissues, particularly large bone defects, using minimally invasive approaches. Regenerative bone scaffolds should ideally mimic aspects of the tissue's…

The Generalized Finite Element Method (GFEM) is a Partition of Unity Method (PUM), where the trial space of standard Finite Element Method (FEM) is augmented with non-polynomial shape functions with compact support. These shape functions,…

数值分析 · 数学 2015-05-27 I. Babuska , U. Banerjee

Lower limb amputees often suffer skin and tissue problems from using their prosthesis which is a challenging biomechanical problem. The finite element method (FEM) has previously been applied to analyse internal mechanical conditions of the…

医学物理 · 物理学 2019-08-02 Sara Kallin , Asim Rashid , Kent Salomonsson , Peter Hansbo

The magnetohydrodynamics (MHD) equations are continuum models used in the study of a wide range of plasma physics systems, including the evolution of complex plasma dynamics in tokamak disruptions. However, efficient numerical solution…

计算物理 · 物理学 2022-02-09 Qi Tang , Luis Chacon , Tzanio V. Kolev , John N. Shadid , Xian-Zhu Tang