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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…

In this paper, we consider a nonlinear PDE system governed by a parabolic heat equation coupled in a nonlinear way with a hyperbolic momentum equation describing the behavior of a displacement field coupled with a nonlinear elliptic…

数值分析 · 数学 2023-11-16 Maryam Parvizi , Amirreza Khodadadian , Thomas Wick

Modeling deformable objects - especially continuum materials - in a way that is physically plausible, generalizable, and data-efficient remains challenging across 3D vision, graphics, and robotic manipulation. Many existing methods…

机器人学 · 计算机科学 2026-01-27 Yunuo Chen , Yafei Hu , Lingfeng Sun , Tushar Kusnur , Laura Herlant , Chenfanfu Jiang

In this paper, we introduce the Phantom Domain Finite Element Method (PDFEM), a novel computational approach tailored for the efficient analysis of heterogeneous and composite materials. Inspired by fictitious domain methods, this method…

数值分析 · 数学 2025-05-06 Tianlong He , Philippe Karamian-Surville , Daniel Choï

Soft robots have garnered significant attention due to their promising applications across various domains. A hallmark of these systems is their bilayer structure, where strain mismatch caused by differential expansion between layers…

机器人学 · 计算机科学 2025-02-04 Jiahao Li , Dezhong Tong , Zhuonan Hao , Yinbo Zhu , Hengan Wu , Mingchao Liu , Weicheng Huang

This paper studies a model of two-phase flow with an immersed material viscous interface and a finite element method for numerical solution of the resulting system of PDEs. The interaction between the bulk and surface media is characterized…

数值分析 · 数学 2021-06-08 Maxim Olshanskii , Annalisa Quaini , Qi Sun

This study presents a finite element and virtual element (FE-VE) coupled method for thermomechanical analysis in electronic packaging structures. The approach partitions computational domains strategically, employing FEM for regular…

数值分析 · 数学 2026-01-14 Yanpeng Gong , Sishuai Li , Yue Mei , Bingbing Xu , Fei Qin , Xiaoying Zhuang , Timon Rabczuk

We develop a Discrete Element Method (DEM) for elastodynamics using polyhedral elements. We show that for a given choice of forces and torques, we recover the equations of linear elastodynamics in small deformations. Furthermore, the…

数值分析 · 数学 2016-12-01 Laurent Monasse , Christian Mariotti

We extend the FE-DMN method to fully coupled thermomechanical two-scale simulations of composite materials. In particular, every Gauss point of the macroscopic finite element model is equipped with a deep material network (DMN). Such a DMN…

计算工程、金融与科学 · 计算机科学 2021-11-30 Sebastian Gajek , Matti Schneider , Thomas Böhlke

This article presents a priori error estimates of the miscible displacement of one compressible fluid by another in a porous medium. The study utilizes the $H(\rm div)$ conforming virtual element method (VEM) for the approximation of the…

数值分析 · 数学 2024-05-13 Sarvesh Kumar , Devika Shylaja

Magnetorheological fluids (MRFs) are smart materials consisting of micro-scale magnetizable particles suspended in a carrier fluid. The rheological properties of a MRF can be changed from a fluid-state to a solid-state upon the application…

流体动力学 · 物理学 2023-02-09 C. Fernandes , Salah A. Faroughi

A growing body of experimental work indicates that physical vapor deposition provides an effective route for preparation of stable glasses, whose properties correspond in some cases to those expected for glasses that have been aged for…

软凝聚态物质 · 物理学 2015-06-16 Ivan Lyubimov , Mark D. Ediger , Juan J. de Pablo

We investigate the coupling between interstitial medium and granular particles by studying the hopper flow of dry and submerged system experimentally and numerically. In accordance with earlier studies, we find, that the dry hopper empties…

软凝聚态物质 · 物理学 2017-04-10 Juha Koivisto , Marko Korhonen , Mikko J. Alava , Carlos P. Ortiz , Douglas J. Durian , Antti Puisto

Dynamic mode decomposition (DMD) has emerged as a popular data-driven modeling approach to identifying spatio-temporal coherent structures in dynamical systems, owing to its strong relation with the Koopman operator. For dynamical systems…

信号处理 · 电气工程与系统科学 2021-10-26 Manu Krishnan , Serkan Gugercin , Pablo A. Tarazaga

In this paper, we develop a multiphysics finite element method for solving the quasi-static thermo-poroelasticity model with nonlinear permeability. The model involves multiple physical processes such as deformation, pressure, diffusion and…

数值分析 · 数学 2026-02-24 Zhihao Ge , Wenshuai Hu

In this paper, we design and analyze a Virtual Element discretization for the steady motion of non-Newtonian, incompressible fluids. A specific stabilization, tailored to mimic the monotonicity and boundedness properties of the continuous…

数值分析 · 数学 2024-03-07 P. F. Antonietti , L. Beirao da Veiga , M. Botti , G. Vacca , M. Verani

Recently, the concept of dynamic virtual power plants (DVPP) has been proposed to collectively provide desired dynamic ancillary services such as fast frequency and voltage control by a heterogeneous ensemble of distributed energy resources…

系统与控制 · 电气工程与系统科学 2023-09-06 Moritz Andrejewski , Verena Häberle , Nico Goldschmidt , Florian Dörfler , Horst Schulte

In this work we propose an efficient and accurate multi-scale optical simulation algorithm by applying a numerical version of slowly varying envelope approximation in FEM. Specifically, we employ the fast iterative method to quickly compute…

光学 · 物理学 2024-12-03 Fan Xiao , Jingwei Wang , Zhongfei Xiong , Yuntian Chen

A two-dimensional, transient, multi-scale modeling approach is presented for predicting the magnitude and rate of percolation segregation for binary mixtures of granular material in a rotating drum and conical hopper. The model utilizes…

软凝聚态物质 · 物理学 2018-10-08 Yu Liu , Marcial Gonzalez , Carl Wassgren

The following work concerns the construction of an entropy dissipative finite volume solver based on the convex combination of an entropy conservative and an entropy dissipative flux. We aim to construct a semidiscrete scheme that is…

数值分析 · 数学 2022-03-01 Simon-Christian Klein