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Adjoint-based sensitivity analysis is of interest in computational science due to its ability to compute sensitivities at a lower cost with respect to several design parameters. However, conventional sensitivity analysis methods fail in the…

数值分析 · 数学 2025-07-15 Pranshul Thakur , Siva Nadarajah

Data flow testing creates test requirements as definition-use (DU) associations, where a definition is a program location that assigns a value to a variable and a use is a location where that value is accessed. Data flow testing is…

软件工程 · 计算机科学 2021-01-18 Marcos Lordello Chaim , Kesina Baral , Jeff Offutt

In recent years, the use of adjoint vectors in Computational Fluid Dynamics (CFD) has seen a dramatic rise. Their utility in numerous applications, including design optimization, data assimilation, and mesh adaptation has sparked the…

计算工程、金融与科学 · 计算机科学 2017-12-05 Steven M. Kast

In this paper, we discuss selected adjoint approaches for the turbulent flow control. In particular, we focus on the application of adjoint solvers for the scope of noise reduction, in which flow solutions are obtained by large eddy and…

最优化与控制 · 数学 2018-05-01 Emre Özkaya , Nicolas R. Gauger , Daniel Marinc , Holger Foysi

In this article we consider the inversion problem for polynomially computable discrete functions. These functions describe behavior of many discrete systems and are used in model checking, hardware verification, cryptanalysis, computer…

分布式、并行与集群计算 · 计算机科学 2011-02-18 Alexander Semenov , Oleg Zaikin , Dmitry Bespalov , Mikhail Posypkin

We describe a novel framework for estimating subsurface properties, such as rock permeability and porosity, from time-lapse observed seismic data by coupling full-waveform inversion, subsurface flow processes, and rock physics models. For…

地球物理 · 物理学 2020-05-06 Dongzhuo Li , Kailai Xu , Jerry M. Harris , Eric Darve

Meta-optics promises compact, high-performance imaging and color routing. However, designing high-performance structures is a high-dimensional optimization problem: mapping a desired optical output back to a physical 3D structure requires…

机器学习 · 计算机科学 2026-04-21 Chanik Kang , Hyewon Suk , Haejun Chung

A computational fluid dynamics code is differentiated using algorithmic differentiation (AD) in both tangent and adjoint modes. The two novelties of the present approach are 1) the adjoint code is obtained by letting the AD tool Tapenade…

计算物理 · 物理学 2020-07-10 J. I. Cardesa , L. Hascoët , C. Airiau

To increase the predictive power of a model, one needs to estimate its unknown parameters. Almost all parameter estimation techniques in ordinary differential equation models suffer from either a small convergence region or enormous…

最优化与控制 · 数学 2020-06-30 Ozgur Aydogmus , Ali Hakan Tor

Adjoint methods enable the accurate calculation of the sensitivities of a quantity of interest. The sensitivity is obtained by solving the adjoint system, which can be derived by continuous or discrete adjoint strategies. In acoustic wave…

计算物理 · 物理学 2019-03-28 Luca Magri

We devise the fast adjoint response algorithm for the gradient of physical measures (long-time-average statistics) of discrete-time hyperbolic chaos with respect to many system parameters. Its cost is independent of the number of…

动力系统 · 数学 2022-09-13 Angxiu Ni

In recent years, considerable attention has been devoted to the regularization models due to the presence of high-dimensional data in scientific research. Sparse support vector machine (SVM) are useful tools in high-dimensional data…

统计计算 · 统计学 2023-12-27 Jiawei Wen

A sensitive porosity adjoint method (SPAM) for optimizing the topology of fluid machines has been proposed. A sensitivity function with respect to the porosity has been developed. In the first step of the optimization process, porous media…

流体动力学 · 物理学 2015-12-29 B. Philippi , Y. Jin

The adjoint sensitivity method scalably computes gradients of solutions to ordinary differential equations. We generalize this method to stochastic differential equations, allowing time-efficient and constant-memory computation of gradients…

机器学习 · 计算机科学 2020-10-20 Xuechen Li , Ting-Kam Leonard Wong , Ricky T. Q. Chen , David Duvenaud

Implicit time-stepping for advection is applied locally in space and time where Courant numbers are large, but standard explicit time-stepping is used for the remaining solution which is typically the majority. This adaptively implicit…

流体动力学 · 物理学 2024-06-14 Hilary Weller , Christian Kuehnlein , Piotr K. Smolarkiewicz

This study presents an efficient and accurate discrete adjoint gas-kinetic scheme (GKS) for sensitivity analysis and aerodynamic shape optimization in continuum flow regimes. Developed using the backward mode of algorithmic differentiation…

流体动力学 · 物理学 2026-04-17 Hangkong Wu , Yuze Zhu , Yajun Zhu , Kun Xu

Seawater intrusion (SWI) is a complex process, where 3D modeling is often necessary in order to monitor and manage the affected aquifers. Here, we present a synthetic study to test a joint hydrogeophysical inversion approach aimed at…

地球物理 · 物理学 2016-08-05 K. Steklova , E. Haber

As more and more multiphysics effects are entering the field of CFD simulations, this raises the question how they can be accurately captured in gradient computations for shape optimization. The latter has been successfully enriched over…

计算物理 · 物理学 2018-11-02 Ole Burghardt , Nicolas R. Gauger

Designing free-form photonic devices is fundamentally challenging due to the vast number of possible geometries and the complex requirements of fabrication constraints. Traditional inverse-design approaches--whether driven by human…

光学 · 物理学 2025-04-25 Dongjin Seo , Soobin Um , Sangbin Lee , Jong Chul Ye , Haejun Chung

Adjoint method is widely used in aerodynamic design because only once solution of flow field is required for adjoint method to obtain the gradients of all design variables. However, the calculation cost of adjoint vector is approximately…

流体动力学 · 物理学 2021-01-01 Mengfei Xu , Shufang Song , Xuxiang Sun , Wengang Chen , Weiwei Zhang