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This paper analyses the finite element component of the error when using preintegration to approximate the cdf and pdf for uncertainty quantification (UQ) problems involving elliptic PDEs with random inputs. It is a follow up to Gilbert,…

数值分析 · 数学 2025-10-28 Alexander D. Gilbert

We present rigorous 3D EMF simulations of isolated features on photomasks using a newly developed finite-element method. We report on the current status of the finite-element solver JCMsuite, incorporating higher-order edge elements,…

光学 · 物理学 2009-05-28 S. Burger , L. Zschiedrich , F. Schmidt , R. Köhle , B. Küchler , C. Nölscher

This note describes an extended exercise on the finite-element (FE) simulation of an accelerator magnet. The students construct and simulate a magnet model using the FEMM freeware. They get the opportunity to exercise on the theory of FEs,…

加速器物理 · 物理学 2020-06-19 H. De Gersem , I. Kulchytska-Ruchka , S. Schöps

The stability, robustness, accuracy, and efficiency of space-time finite element methods crucially depend on the choice of approximation spaces for test and trial functions. This is especially true for high-order, mixed finite element…

数值分析 · 数学 2023-08-15 Nilima Nigam , David M. Williams

A novel method for performing model updating on finite element models is presented. The approach is particularly tailored to modal analyses of buildings, by which the lowest frequencies, obtained by using sensors and system identification…

Finite element meshes for 3D models simulating realistic malignant melanoma (MM) growth, incorporating accurate dielectric properties of the skin, have been developed. Numerical simulations illustrate how 3D finite element meshes can be…

数值分析 · 数学 2025-08-12 Eric Lindström , Larisa Beilina

In this paper, the Combined Finite-Discrete Element Method (FDEM) has been applied to analyze the deformation of anisotropic geomaterials. In the most general case geomaterials are both non-homogeneous and non-isotropic. With the aim of…

地球物理 · 物理学 2018-05-17 Zhou Lei , Esteban Rougier , Earl E. Knight , Antonio Munjiza , Hari Viswanathan

This work presents the Griffith-type phase-field formation at large deformation in the framework of adaptive edge-based smoothed finite element method (ES-FEM) for the first time. Therein the phase-field modeling of fractures has attracted…

数值分析 · 数学 2021-11-09 Fucheng Tian , Xiaoliang Tang , Tingyu Xu , Liangbin Li

This document summarizes the main concepts of the finite element (FE) theory and constitutive relations as implemented in the open-source code phase-field multiphysics materials simulator PHIMATS https://github.com/ahcomat/PHIMATS. PHIMATS…

数值分析 · 数学 2025-10-15 Abdelrahman Hussein

Vitreoretinal surgery pertains to the treatment of delicate tissues on the fundus of the eye using thin instruments. Surgeons frequently rotate the eye during surgery, which is called orbital manipulation, to observe regions around the…

机器人学 · 计算机科学 2023-07-10 Yuki Koyama , Murilo Marques Marinho , Kanako Harada

The numerical analysis for the small amplitude motion of an elastic beam with internal damping is investigated in domain with moving ends. An efficient numerical method is constructed to solve this moving boundary problem. The stability and…

数值分析 · 数学 2019-07-05 Natanael Quintino , Mauro Rincon

Deformable fractured porous media appear in many geoscience applications. While the extended finite element (XFEM) has been successfully developed within the computational mechanics community for accurate modeling of the deformation, its…

计算物理 · 物理学 2021-04-07 Fanxiang Xu , Hadi Hajibeygi , Lambertus J. Sluys

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…

Two aspects required to establish a planning in orthognatic surgery are addressed in this paper. First, a 3D cephalometric analysis, which is clini-cally essential for the therapeutic decision. Then, an original method to build a…

医学物理 · 物理学 2007-05-23 Matthieu Chabanas , Christophe Marecaux , Yohan Payan , Franck Boutault

Since the 1960's the finite element method emerged as a powerful tool for the numerical simulation of countless physical phenomena or processes in applied sciences. One of the reasons for this undeniable success is the great versatility of…

数值分析 · 数学 2018-12-05 Vitoriano Ruas

The computational efficiency of the Finite-Difference Time-Domain (FDTD) method can be significantly reduced by the presence of complex objects with fine features. Small geometrical details impose a fine mesh and a reduced time step,…

计算工程、金融与科学 · 计算机科学 2021-06-30 Xinyue Zhang , Fadime Bekmambetova , Piero Triverio

In this paper, we present a new polygonal finite element method, called the Zipped Finite Element Method, for star-shaped polygons. The proposed approach constructs high-order shape functions as linear combinations of standard finite…

数值分析 · 数学 2025-11-27 Stefano Berrone , Lorenzo Neva , Moreno Pintore , Gioana Teora , Fabio Vicini

A novel general purpose Finite Element framework is presented to study small-scale metal plasticity. A distinct feature of the adopted distortion gradient plasticity formulation, with respect to strain gradient plasticity theories, is the…

材料科学 · 物理学 2017-11-16 Emilio Martínez-Pañeda , Christian F. Niordson , Lorenzo Bardella

Finite element methods (FEM) are popular approaches for simulation of soft tissues with elastic or viscoelastic behavior. However, their usage in real-time applications, such as in virtual reality surgical training, is limited by…

机器学习 · 计算机科学 2023-01-12 Mohammad Karami , Hervé Lombaert , David Rivest-Hénault

We extend a localized model order reduction method for the distributed finite element solution of elliptic boundary value problems in the cloud. We give a computationally efficient technique to compute the required inner product matrices…

数值分析 · 数学 2025-04-01 Tom Gustafsson , Antti Hannukainen , Vili Kohonen