Results 11 to 20 of about 5,322 (250)
A 4D-Var inversion system based on the icosahedral grid model (NICAM-TM 4D-Var v1.0) – Part 1: Offline forward and adjoint transport models [PDF]
Geoscientific Model Development, 2017 A four-dimensional variational (4D-Var) method is a popular algorithm for inverting atmospheric greenhouse gas (GHG) measurements. In order to meet the computationally intense 4D-Var iterative calculation, offline forward and adjoint transport models are
Y. Niwa +10 more
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Locating leakage in pipelines based on the adjoint equation of inversion modeling
Heliyon, 2023 This paper presents an adjoint method for locating potential leakage in a single-phase fluid pipeline based on the analytic solution of inversion modeling.
Chang Chang +4 more
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The randomized Kaczmarz method with mismatched adjoint [PDF]
BIT Numerical Mathematics, 2018 This paper investigates the randomized version of the Kaczmarz method to solve linear systems in the case where the adjoint of the system matrix is not exact---a situation we refer to as "mismatched adjoint". We show that the method may still converge both in the over- and underdetermined consistent case under appropriate conditions, and we calculate ...
Dirk A. Lorenz +2 more
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Results in Applied Mathematics, 2020 The interior elastic transmission eigenvalue problem, arising from the inverse scattering theory of non-homogeneous elastic media, is nonlinear, non-self-adjoint and of fourth order.
Xia Ji, Peijun Li, Jiguang Sun
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IEEE Photonics Journal, 2023 Gradient-descent-based digitized adjoint method offers a way to realize the high-efficiency inverse design of digital nanophotonic devices with diverse functions. However, the vanishing gradient problem encountered in the design of high-dimension devices
Qiaomu Hu +4 more
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The extended adjoint method [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2012 Searching for the optimal partitioning of a domain leads to the use of the adjoint method in topological asymptotic expansions to know the influence of a domain perturbation on a cost function. Our approach works by restricting to local subproblems containing the perturbation and outperforms the adjoint method by providing approximations of higher ...
Larnier, Stanislas, Masmoudi, Mohamed
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Robust Algorithm Software for NACA 4-Digit Airfoil Shape Optimization Using the Adjoint Method
Applied Sciences, 2023 Optimizing the aerodynamic shape of an airfoil is a critical concern in the aviation industry. The introduction of flexible airfoils has allowed the shape of the airfoil to vary, depending on the flight conditions. Therefore, in this study, we propose an
Naser Tanabi +3 more
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A MapReduce-based Adjoint method for preventing brain disease
Journal of Big Data, 2018 In this paper, we present a statistical model performed on the basis of a patient dataset. This model predicts efficiently the brain disease risk. Multiple regression was used to build the statistical model.
Manal Zettam +2 more
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Online Adjoint Methods for Optimization of PDEs
Applied Mathematics & Optimization, 2022 We present and mathematically analyze an online adjoint algorithm for the optimization of partial differential equations (PDEs). Traditional adjoint algorithms would typically solve a new adjoint PDE at each optimization iteration, which can be computationally costly.
Sirignano, Justin +1 more
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Application of Adjoint Data Assimilation Method to Atmospheric Aerosol Transport Problems
Advances in Mathematical Physics, 2017 We propose combining the adjoint assimilation method with characteristic finite difference scheme (CFD) to solve the aerosol transport problems, which can predict the distribution of atmospheric aerosols efficiently by using large time steps.
Minjie Xu, Kai Fu, Xianqing Lv
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