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We propose an algorithm for optimizations in which the gradients contain stochastic noise. This arises, for example, in structural optimizations when computations of forces and stresses rely on methods involving Monte Carlo sampling, such…

材料科学 · 物理学 2022-11-30 Siyuan Chen , Shiwei Zhang

Over the last decade, finite volume discretizations for flow in porous media have been extended to handle situations where fractures dominate the flow. These discretizations have successfully been combined with the discrete fracture-matrix…

数值分析 · 数学 2017-12-25 Ivar Stefansson , Inga Berre , Eirik Keilegavlen

The conception of new metamaterials showing unorthodox behaviors with respect to elastic wavepropagation has become possible in recent years thanks to powerful dynamical homogenization techniques. Such methods effectively allow to describe…

Advanced measurement techniques and high performance computing have made large data sets available for a wide range of turbulent flows that arise in engineering applications. Drawing on this abundance of data, dynamical models can be…

流体动力学 · 物理学 2020-05-06 Armin Zare , Tryphon T. Georgiou , Mihailo R. Jovanović

Complex non-local behavior makes designing high efficiency and multifunctional metasurfaces a significant challenge. While using libraries of meta-atoms provide a simple and fast implementation methodology, pillar to pillar interaction…

The traditional element-based topology optimization based on material penalization typically aims at a 0/1 design. Our numerical experiments reveal that the compliance of a smooth design is overestimated when material properties of boundary…

计算工程、金融与科学 · 计算机科学 2020-06-09 Xiaodong Huang

Natural disasters affect hundreds of millions of people worldwide every year. Early warning, humanitarian response and recovery mechanisms can be improved by using big data sources. Measuring the different dimensions of the impact of…

计算机与社会 · 计算机科学 2020-06-25 David Pastor-Escuredo , Yolanda Torres , Maria Martinez , Pedro J. Zufiria

Methods for discretizing port-Hamiltonian systems are of interest both for simulation and control purposes. Despite the large literature on mixed finite elements, no rigorous analysis of the connections between mixed elements and…

Flooding is a destructive and dangerous hazard and climate change appears to be increasing the frequency of catastrophic flooding events around the world. Physics-based flood models are costly to calibrate and are rarely generalizable…

机器学习 · 计算机科学 2019-10-16 Chelsea Sidrane , Dylan J Fitzpatrick , Andrew Annex , Diane O'Donoghue , Yarin Gal , Piotr Biliński

We present an accurate and efficient discretization approach for the adaptive discretization of typical model equations employed in numerical weather prediction. A semi-Lagrangian approach is combined with the TR-BDF2 semi-implicit time…

数值分析 · 数学 2014-05-23 G. Tumolo , L. Bonaventura

The lack of a comprehensive decision-making approach at the community level is an important problem that warrants immediate attention. Network-level decision-making algorithms need to solve large-scale optimization problems that pose…

最优化与控制 · 数学 2018-10-02 Saeed Nozhati , Yugandhar Sarkale , Bruce Ellingwood , Edwin K. P. Chong , Hussam Mahmoud

Data-structure dynamization is a general approach for making static data structures dynamic. It is used extensively in geometric settings and in the guise of so-called merge (or compaction) policies in big-data databases such as Google…

数据结构与算法 · 计算机科学 2024-07-25 Claire Mathieu , Rajmohan Rajaraman , Neal E. Young , Arman Yousefi

The evaluation of hydrological models is essential for both model selection and reliability assessment. However, simply comparing predictions to observations is insufficient for understanding the global landscape of model behavior. This is…

地球物理 · 物理学 2026-02-06 Yang Yang , Joseph Janssen , Hoshin Gupta , Ting Fong May Chui

This paper studies the characteristics and applicability of the CutFEM approach as the core of a robust topology optimization framework for 3D laminar incompressible flow and species transport problems at low Reynolds number (Re < 200).…

最优化与控制 · 数学 2017-02-09 Hernan Villanueva , Kurt Maute

In coastal river systems, frequent floods, often occurring during major storms or king tides, pose a severe threat to lives and property. However, these floods can be mitigated or even prevented by strategically releasing water before…

机器学习 · 计算机科学 2025-01-08 Jimeng Shi , Zeda Yin , Arturo Leon , Jayantha Obeysekera , Giri Narasimhan

The growing prevalence of extreme weather events driven by climate change poses significant challenges to power system resilience. Infrastructure damage and prolonged power outages highlight the urgent need for effective grid-hardening…

系统与控制 · 电气工程与系统科学 2026-01-30 Sifat Chowdhury , Yihsu Chen , Yu Zhang

Fast, gradient-based structural optimization has long been limited to a highly restricted subset of problems -- namely, density-based compliance minimization -- for which gradients can be analytically derived. For other objective functions,…

计算工程、金融与科学 · 计算机科学 2024-09-17 Keith J. Lee , Yijiang Huang , Caitlin T. Mueller

Robust optimization methods have shown practical advantages in a wide range of decision-making applications under uncertainty. Recently, their efficacy has been extended to multi-period settings. Current approaches model uncertainty either…

最优化与控制 · 数学 2022-02-23 Omid Nohadani , Kartikey Sharma

This paper deals with fast simulations of the haemodynamics in large arteries by considering a reduced model of the associated fluid-structure interaction problem, which in turn allows an additional reduction in terms of the numerical…

数值分析 · 数学 2018-01-19 Claudia M. Colciago , Simone Deparis

In this work, we present a high-order finite volume framework for the numerical simulation of shallow water flows. The method is designed to accurately capture complex dynamics inherent in shallow water systems, particularly suited for…

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