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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…

Computational Engineering, Finance, and Science · Computer Science 2015-08-12 R. C. Martins , N. Fachada

This work develops an elasto-plastic cell-based smoothed finite element method (CSFEM) for geotechnical analysis. The formulation incorporates a smoothed strain field into the standard elasto-plastic framework based on the Mohr-Coulomb…

Numerical Analysis · Mathematics 2025-11-26 Yang Yang , Mingjiao Yan , Zongliang Zhang , Miao Zhang , Feidong Zheng , Dong Pan , Xiaozi Lin

A precise domain triangulation is recognized as indispensable for the accurate numerical approximation of differential operators within collocation methods, leading to a substantial reduction in discretization errors. An efficient finite…

Numerical Analysis · Mathematics 2025-07-15 G. Shylaja , V. Kesavulu Naidu , B. Venkatesh , S. M. Mallikarjunaiah

An international experiment, ITER is proposed as the next essential and critical step on the path to demonstrating the scientific and technological feasibility of fusion energy. ITER would give unique opportunities to explore, in reactor…

Plasma Physics · Physics 2009-11-10 Adrianus C. C. Sips

Coupled multiphysics simulations for high-dimensional, large-scale problems can be prohibitively expensive due to their computational demands. This article presents a novel framework integrating a deep operator network (DeepONet) with the…

Computational Engineering, Finance, and Science · Computer Science 2025-09-03 Fouad M. Amin , Diab W. Abueidda , Panos Pantidis , Mostafa E. Mobasher

TokaMind is a multi-modal transformer (MMT) foundation model pre-trained on tokamak plasma diagnostics data from MAST, where it was shown to outperform CNN-based approaches on fusion benchmarks. We investigate whether its learned…

Plasma Physics · Physics 2026-05-14 JC Wu , Norton Lee , Kai Siang Chen

The Tokamak device is the most promising candidate for producing sustainable electric power by nuclear fusion. It is a torus-shaped device that confines plasma by a strong magnetic field. The development, design and control of the design…

Plasma Physics · Physics 2022-11-17 M. Holst , V. Kungurtsev , S. Mukherjee

Pedestal modelling is crucial to predict the performance of future fusion devices. Current modelling efforts suffer either from a lack of kinetic physics, or an excess of computational complexity. To ameliorate these problems, we take a…

Plasma Physics · Physics 2018-06-06 Ian Abel , Axel Hallenbert

In this paper, we extend the recently proposed extended scaled boundary finite element method (xSBFEM)~\cite{natarajansong2013} to study fracture parameters of interfacial cracks and cracks terminating at the interface. The approach is also…

Numerical Analysis · Mathematics 2014-07-14 Sundararajan Natarajan , Chongmin Song , Salim Belouettar

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…

Machine Learning · Computer Science 2025-10-01 Erfan Hamdi , Emma Lejeune

Advancements in high temperature superconducting technology have opened a path toward high-field, compact fusion devices. This new parameter space introduces both opportunities and challenges for diagnosis of the plasma. This paper presents…

Plasma turbulence on disparate spatial and temporal scales plays a key role in defining the level of confinement achievable in tokamaks, with the development of reduced numerical models for cross-scale turbulence effects informed by…

In stress field analysis, the finite element analysis is a crucial approach, in which the mesh-density has a significant impact on the results. High mesh density usually contributes authentic to simulation results but costs more computing…

Computational Engineering, Finance, and Science · Computer Science 2021-04-20 Qingfeng Xu , Zhenguo Nie , Handing Xu , Haosu Zhou , Xinjun Liu

This manuscript presents the Quantum Finite Element Method (Q-FEM) developed for use in noisy intermediate-scale quantum (NISQ) computers and employs the variational quantum linear solver (VQLS) algorithm. The proposed method leverages the…

Quantum Physics · Physics 2025-04-01 Abhishek Arora , Benjamin M. Ward , Caglar Oskay

We introduce a novel hybrid methodology combining classical finite element methods (FEM) with neural networks to create a well-performing and generalizable surrogate model for forward and inverse problems. The residual from finite element…

Computational Engineering, Finance, and Science · Computer Science 2022-05-18 Rishith Ellath Meethal , Birgit Obst , Mohamed Khalil , Aditya Ghantasala , Anoop Kodakkal , Kai-Uwe Bletzinger , Roland Wüchner

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…

Robotics · Computer Science 2025-03-11 Hao Chen , Jian Chen , Xinran Liu , Zihui Zhang , Yuanrui Huang , Zhongkai Zhang , Hongbin Liu

The physical sciences require models tailored to specific nuances of different dynamics. In this work, we study outcome predictions in nuclear fusion tokamaks, where a major challenge are \textit{disruptions}, or the loss of plasma…

Plasma Physics · Physics 2024-01-02 Lucas Spangher , William Arnold , Alexander Spangher , Andrew Maris , Cristina Rea

In this work, we have formulated and implemented a mixed unstructured mesh-based finite element (FE)-Fourier decomposition scheme for gyrokinetic simulations in realistic tokamak geometry. An efficient particle positioning…

Plasma Physics · Physics 2020-07-15 Z. X. Lu , Ph. Lauber , T. Hayward-Schneider , A. Bottino , M. Hoelzl

Bioprinting is an enabling biofabrication technique to create heterogeneous tissue constructs according to patient-specific geometries and compositions. Optimization of bioinks as per requirements for specific tissue applications is a…

Materials Science · Physics 2022-10-25 Abhinaba Banerjee , Sudipto Datta , Amit Roy Chowdhury , Pallab Datta

In this work, the finite elements method (FEM) is used to analyse the growth of fretting cracks. FEM can be favourably used to extract the stress intensity factors in mixed mode, a typical situation for cracks growing in the vicinity of a…

Geophysics · Physics 2011-02-24 Henry Proudhon , Stéphanie Basseville