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A method for model reduction in nonlinear ODE systems is demonstrated through computational examples. The method does not require an implicit separation of time-scales in the fine dynamics to be effective. From the computational standpoint,…

数学物理 · 物理学 2007-05-23 Aarti Sawant , Amit Acharya

A simulation strategy based in the finite element model was developed to model the corrosion and mechanical properties of biodegradable Mg scaffolds manufactured by laser power bed fusion after immersion in simulated body fluid. Corrosion…

应用物理 · 物理学 2022-01-19 Mohammad Marvi-Mashhadi , Wahaaj Ali , Muzi Li , Carlos González , Javier LLorca

A new field of numerical astrophysics is introduced which addresses the solution of large, multidimensional structural or slowly-evolving problems (rotating stars, interacting binaries, thick advective accretion disks, four dimensional…

天体物理学 · 物理学 2009-10-30 David L. Meier

Context: Seamless model-based development provides integrated chains of models, covering all software engineering phases. Non-functional requirements (NFRs), like reusability, further play a vital role in software and systems engineering,…

软件工程 · 计算机科学 2017-02-27 Jonas Eckhardt , Daniel Méndez Fernández , Andreas Vogelsang

In this paper, we use a unified framework introduced in [3] to study two classes of nonconforming immersed finite element (IFE) spaces with integral value degrees of freedom. The shape functions on interface elements are piecewise…

数值分析 · 数学 2018-10-19 Ruchi Guo , Tao Lin , Xu Zhang

The authors have shown in previous contributions that reduced order modeling with optimal cubature applied to finite element square (FE2) techniques results in a reliable and affordable multiscale approach, the HPR-FE2 technique. Such…

数值分析 · 数学 2021-07-20 Marcelo Raschi , Oriol Lloberas-Valls , Alfredo Huespe , Javier Oliver

Classical model reduction techniques project the governing equations onto linear subspaces of the high-dimensional state-space. For problems with slowly decaying Kolmogorov-n-widths such as certain transport-dominated problems, however,…

数值分析 · 数学 2021-12-22 Patrick Buchfink , Silke Glas , Bernard Haasdonk

Constrained mechanical systems occur in many applications, such as modeling of robots and other multibody systems. In this case, the motion is governed by a system of differential-algebraic equations (DAE), often with large and sparse…

动力系统 · 数学 2025-07-09 Peter Benner , Yevgeniya Filanova , Igor Pontes Duff , Jens Saak

Non-affine parametric dependencies, nonlinearities and advection-dominated regimes of the model of interest can result in a slow Kolmogorov n-width decay, which precludes the realization of efficient reduced-order models based on linear…

数值分析 · 数学 2022-03-02 Francesco Romor , Giovanni Stabile , Gianluigi Rozza

In this study, we present a non-intrusive reduced order modeling (ROM) framework for large-scale quasi-stationary systems. The framework proposed herein exploits the time series prediction capability of long short-term memory (LSTM)…

计算工程、金融与科学 · 计算机科学 2019-11-20 Sk. Mashfiqur Rahman , Suraj Pawar , Omer San , Adil Rasheed , Traian Iliescu

A general-purpose computational homogenization framework is proposed for the nonlinear dynamic analysis of membranes exhibiting complex microscale and/or mesoscale heterogeneity characterized by in-plane periodicity that cannot be…

计算工程、金融与科学 · 计算机科学 2021-01-28 Philip Avery , Daniel Z. Huang , Wanli He , Johanna Ehlers , Armen Derkevorkian , Charbel Farhat

This work undertakes to combine the interests of IsoGeometric Analysis (IGA) and standard Finite Element Methods (FEM) for the global/local simulation of structures. The idea is to adopt a hybrid global-IGA/local-FEM modeling, thereby…

数值分析 · 数学 2022-11-14 Evgeniia Lapina , Paul Oumaziz , Robin Bouclier , Jean-Charles Passieux

This paper addresses the task of dense non-rigid structure-from-motion (NRSfM) using multiple images. State-of-the-art methods to this problem are often hurdled by scalability, expensive computations, and noisy measurements. Further, recent…

计算机视觉与模式识别 · 计算机科学 2018-03-28 Suryansh Kumar , Anoop Cherian , Yuchao Dai , Hongdong Li

Nonlinear spatial encoding magnetic (SEM) fields have been studied to complement multichannel RF encoding and accelerate MRI scans. Published schemes include PatLoc, O-Space, Null Space, 4D-RIO, and others, but the large variety of possible…

医学物理 · 物理学 2016-11-18 Haifeng Wang , R. Todd Constable , Gigi Galiana

Multi-body mechanical systems have rich internal dynamics, whose solutions can be exploited as efficient control targets. Yet, solutions non-trivially depend on system parameters, obscuring feasible properties for use as target…

A generalized version of the Spherical Infall Model (SIM) is used to study the effect of angular momentum on the final density profile of a spherical structure. The numerical method presented is able to handle a variety of initial density…

天体物理学 · 物理学 2009-11-07 Nicos Hiotelis

A non-standing character of directly imaged spin-waves in confined micron-sized ultrathin permalloy (Ni\textsubscript{80}Fe\textsubscript{20}) structures is reported along with evidence of the possibility to alter the observed state by…

We present SPARC-atomSFE, a spectral finite-element package for accurate and efficient atomic structure calculations within the framework of Kohn-Sham density functional theory. The package supports both all-electron and norm conserving…

计算物理 · 物理学 2026-05-19 Qihao Cheng , Shubhang Krishnakant Trivedi , Phanish Suryanarayana

The simulation of a short fibre reinforced structure by means of the FEM requires the knowledge of the material behaviour at every Gauss point. In order to obtain such information, a representative volume element (RVE) containing…

材料科学 · 物理学 2014-08-21 N. Goldberg , H. Donner , J. Ihlemann

Explicit filtering in large eddy simulation (LES) of a turbulent barotropic flow on the sphere in spectral space is studied and compared to implicit filtering. Here, a smooth filter is applied to the nondivergent barotropic vorticity…

流体动力学 · 物理学 2014-04-08 Leila N. Azadani , Anne E. Staples
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