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Related papers: Finite-Element Simulation of an Accelerator Magnet…

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The Finite Element Method (FEM) is widely used in engineering and scientific computing, but its pre-processing, solver configuration, and post-processing stages are often time-consuming and require specialized knowledge. This paper proposes…

Machine Learning · Computer Science 2025-10-15 Tao Zhang , Zhenhai Liu , Yong Xin , Yongjun Jiao

We present quantitative means for assessing the numerical accuracy of static magnetic field calculations in finite-element models. Our calculations use the three-dimensional Opera simulation software suite of Dassault Syst`emes. Our need to…

Accelerator Physics · Physics 2021-06-03 J. A. Crittenden

Rigorous computer simulations of propagating electromagnetic fields have become an important tool for optical metrology and optics design of nanostructured components. As has been shown in previous benchmarks some of the presently used…

Extensive research papers of three-dimensional computational techniques are widely used for the investigation of human brain pathophysiology. Eddy current analyzing could provide an indication of conductivity change within a biological…

Medical Physics · Physics 2019-06-05 Wuliang Yin , Mingyang Lu , Jiawei Tang , Qian Zhao , Zhijie Zhang , Kai Li , Yan Han , Anthony Peyton

The MFEM (Modular Finite Element Methods) library is a high-performance C++ library for finite element discretizations. MFEM supports numerous types of finite element methods and is the discretization engine powering many computational…

In this work a novel method for the analysis with trimmed CAD surfaces is presented. The method involves an additional mapping step and the attraction stems from its sim- plicity and ease of implementation into existing Finite Element (FEM)…

Numerical Analysis · Computer Science 2015-01-28 Gernot Beer , Benjamin Marussig , Jürgen Zechner

Multiscale simulation is a key research tool for the quest for new permanent magnets. Starting with first principles methods, a sequence of simulation methods can be applied to calculate the maximum possible coercive field and expected…

Rigorous computer simulations of propagating electromagnetic fields have become an important tool for optical metrology and design of nanostructured optical components. A vectorial finite element method (FEM) is a good choice for an…

Optics · Physics 2009-05-28 L. Zschiedrich , S. Burger , A. Schädle , F. Schmidt

The aim of this paper is to deal with multi-physics simulation of micro-electro-mechanical systems (MEMS) based on an advanced numerical methodology. MEMS are very small devices in which electric as well as mechanical and fluid phenomena…

Other Computer Science · Computer Science 2007-11-29 V. Rochus , J. -C. Golinval , C. Louis , C. Mendez , I. Klapka

We propose a Pretrained Finite Element Method (PFEM),a physics driven framework that bridges the efficiency of neural operator learning with the accuracy and robustness of classical finite element methods (FEM). PFEM consists of a physics…

This work presents a practical finite element modeling strategy, the Crack Element Method (CEM), for simulating the dynamic crack propagation in two-dimensional structures. The method employs an element-splitting algorithm based on the…

Computational Engineering, Finance, and Science · Computer Science 2025-08-04 Yuxi Xie , Ethan J. Wu , Lu Xu , Jimmy Perez , Shaofan Li

MFEM is an open-source, lightweight, flexible and scalable C++ library for modular finite element methods that features arbitrary high-order finite element meshes and spaces, support for a wide variety of discretization approaches and…

This work is devoted to the development of an efficient and robust technique for accurate capturing of the electric field in multi-material problems. The formulation is based on the finite element method enriched by the introduction of…

Magneto-static finite element (FE) simulations make numerical optimization of electrical machines very time-consuming and computationally intensive during the design stage. In this paper, we present the application of a hybrid data-and…

Machine Learning · Computer Science 2023-06-16 Vivek Parekh , Dominik Flore , Sebastian Schöps , Peter Theisinger

An overall objective of energy efficiency in the built environment is to improve building and systems performances in terms of durability, comfort and economics. In order to predict, improve and meet a certain set of performance…

Computational Engineering, Finance, and Science · Computer Science 2016-06-07 A. W. M. van Schijndel

In nodal based finite element method (FEM), degrees of freedom are associated with the nodes of the element whereas, for edge FEM, degrees of freedom are assigned to the edges of the element. Edge element is constructed based on Whitney…

Numerical Analysis · Mathematics 2022-03-29 Durgarao Kamireddy , Saurabh Madhukar Chavan , Arup Nandy

This contributions discusses the simulation of magnetothermal effects in superconducting magnets as used in particle accelerators. An iterative coupling scheme using reduced order models between a magnetothermal partial differential model…

Computational Engineering, Finance, and Science · Computer Science 2017-11-01 Sebastian Schöps , Idoia Cortes Garcia , Michał Maciejewski , Bernhard Auchmann

Beyond active material intrinsic properties, the electrode manufacturing process is a crucial step to reach high energy density and long-life of Li-ion batteries. In particular, very high pressures are applied to the electrode during the…

Materials Science · Physics 2026-02-19 Pierrick Guichard , Benoit Mathieu , Eric Woillez

The Finite Element Method (FEM) is a powerful modeling tool for predicting soft robots' behavior, but its computation time can limit practical applications. In this paper, a learning-based approach based on condensation of the FEM model is…

To tackle the strong multi-scale problem in the quench simulation of superconducting accelerator magnets, this work proposes a hybrid numerical method which uses two-dimensional first-order finite-elements in the magnet cross-section and…

Computational Engineering, Finance, and Science · Computer Science 2022-05-04 Laura A. M. D'Angelo , Yvonne Späck-Leigsnering , Herbert De Gersem