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Density-based topology optimization has become a powerful method for automatically generating optimized designs in a wide variety of applications. However, it comes with a large computational cost when solving the physical model requires…

Engineering simulations are usually based on complex, grid-based, or mesh-free methods for solving partial differential equations. The results of these methods cover large fields of physical quantities at very many discrete spatial…

流体动力学 · 物理学 2025-08-08 Eduardo Di Costanzo , Niklas Kühl , Jean-Christophe Marongiu , Thomas Rung

Stochastic multi-scale modeling and simulation for nonlinear thermo-mechanical problems of composite materials with complicated random microstructures remains a challenging issue. In this paper, we develop a novel statistical higher-order…

数值分析 · 数学 2023-08-23 Hao Dong , Junzhi Cui

Lattice-like structures can provide a combination of high stiffness with light weight that is useful in many applications, but a resolved finite element mesh of such structures results in a computationally expensive discretization. This…

数值分析 · 数学 2022-09-07 Sean McBane , Youngsoo Choi , Karen Willcox

This paper presents a method to simulate the thermal behavior of 3D systems using a graph neural network. The method discussed achieves a significant speed-up with respect to a traditional finite-element simulation. The graph neural network…

计算工程、金融与科学 · 计算机科学 2022-09-29 Helios Sanchis-Alepuz , Monika Stipsitz

An efficient and reliable stress computation algorithm is presented, which is based on implicit integration of the local evolution equations of multiplicative finite-strain plasticity/viscoplasticity. The algorithm is illustrated by an…

数值分析 · 数学 2016-05-25 A. V. Shutov

We present the 3D Trajectory-based Stress Visualizer (3D-TSV), a visual analysis tool for the exploration of the principal stress directions in 3D solids under load. 3D-TSV provides a modular and generic implementation of key algorithms…

图形学 · 计算机科学 2022-05-18 Junpeng Wang , Christoph Neuhauser , Jun Wu , Xifeng Gao , Rüdiger Westermann

This work proposes novel techniques for the efficient numerical simulation of parameterized, unsteady partial differential equations. Projection-based reduced order models (ROMs) such as the reduced basis method employ a (Petrov-)Galerkin…

数值分析 · 数学 2023-12-05 Nicholas Mueller , Santiago Badia

The dynamic behavior of jointed assemblies exhibiting friction nonlinearities features amplitude-dependent dissipation and stiffness. To develop numerical simulations for predictive and design purposes, macro-scale High Fidelity Models…

计算工程、金融与科学 · 计算机科学 2022-04-27 Ahmed Amr Morsy , Mariella Kast , Paolo Tiso

Multidimensional scaling (MDS) is a popular dimensionality reduction techniques that has been widely used for network visualization and cooperative localization. However, the traditional stress minimization formulation of MDS necessitates…

最优化与控制 · 数学 2016-12-22 Ketan Rajawat , Sandeep Kumar

High-density through-substrate vias (TSVs) enable 2.5D/3D heterogeneous integration but introduce significant signal-integrity and thermal-reliability challenges due to electrical coupling, insertion loss, and self-heating. Conventional…

机器学习 · 计算机科学 2026-04-01 Mohamed Gharib , Leonid Popryho , Inna Partin-Vaisband

Task Arithmetic has emerged as a simple yet effective method to merge models without additional training. However, by treating entire networks as flat parameter vectors, it overlooks key structural information and is susceptible to task…

This paper proposes a computationally efficient simulation strategy for cold thermal energy storage (TES) systems based on phase change material (PCM). Taking as a starting point the recent design of a TES system based on PCM, designed to…

系统与控制 · 电气工程与系统科学 2024-02-07 G. Bejarano , M. Vargas , M. G. Ortega , F. Castaño , J. E. Normey-Rico

In this paper we propose novel methods for compression and recovery of multilinear data under limited sampling. We exploit the recently proposed tensor- Singular Value Decomposition (t-SVD)[1], which is a group theoretic framework for…

信息论 · 计算机科学 2013-11-01 Zemin Zhang , Gregory Ely , Shuchin Aeron , Ning Hao , Misha Kilmer

In computational engineering, ensuring the integrity and safety of structures in fields such as aerospace and civil engineering relies on accurate stress prediction. However, analytical methods are limited to simple test cases, and…

计算工程、金融与科学 · 计算机科学 2025-10-31 Fabian Key , Lukas Freinberger

In this paper, we address the well-known challenge in the numerical solution of time-fractional partial differential equations (TFPDEs), namely, that the dependence on all previous time levels leads to storage requirements that grow…

数值分析 · 数学 2026-04-23 Jichun Li , Yangpeng Zhang , Yangwen Zhang

Tensor decomposition methodologies are proposed to reduce the memory requirement of translation operator tensors arising in the fast multipole method-fast Fourier transform (FMM-FFT)-accelerated surface integral equation (SIE) simulators.…

信号处理 · 电气工程与系统科学 2020-11-25 Cheng Qian , Abdulkadir C. Yucel

An approach to derive low-complexity models describing thermal radiation for the sake of simulating the behavior of electric arcs in switchgear systems is presented. The idea is to approximate the (high dimensional) full-order equations,…

最优化与控制 · 数学 2015-12-09 Lorenzo Fagiano , Rudolf Gati

Memcomputing is a novel paradigm of computation that utilizes dynamical elements with memory to both store and process information on the same physical location. Its building blocks can be fabricated in hardware with standard electronic…

新兴技术 · 计算机科学 2018-07-03 Forrest Sheldon , Pietro Cicotti , Fabio L. Traversa , Massimiliano Di Ventra

We present a number of novel algorithms, based on mathematical optimization formulations, in order to solve a homogeneous multiprocessor scheduling problem, while minimizing the total energy consumption. In particular, for a system with a…

操作系统 · 计算机科学 2015-11-13 Mason Thammawichai , Eric C. Kerrigan
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