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A tutorial on the adjoint method for inverse problems
Computer Methods in Applied Mechanics and Engineering, 2021This paper is a basic tutorial on the adjoint method when used in a computational scheme for solving an inverse problem . The adjoint method is a technique for the efficient calculation of the gradient of the functional which is to be minimized in the ...
Dan Givoli
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Effective adjoint approaches for computational fluid dynamics
Progress in Aerospace Sciences, 2019The adjoint method is used for high-fidelity aerodynamic shape optimization and is an efficient approach for computing the derivatives of a function of interest with respect to a large number of design variables.
Gaetan Kenway, Charles A Mader, Ping He
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Applied Thermal Engineering, 2018
In this paper, the development of the continuous adjoint method for shape optimization in Conjugate Heat Transfer (CHT) problems with incompressible flows is presented. The main focus of this study is to develop a continuous adjoint method which computes
Kyriakos
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In this paper, the development of the continuous adjoint method for shape optimization in Conjugate Heat Transfer (CHT) problems with incompressible flows is presented. The main focus of this study is to develop a continuous adjoint method which computes
Kyriakos
exaly +2 more sources
Inverse design of digital nanophotonic devices using the adjoint method
Photonics Research, 2020A high-efficiency inverse design of “digital” subwavelength nanophotonic devices using the adjoint method is proposed. We design a single-mode 3 dB power divider and a dual-mode demultiplexer to demonstrate the efficiency of the proposed inverse design ...
Kaiyuan Wang +5 more
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IEEE transactions on microwave theory and techniques, 2020
This article proposes a novel parallel gradient-based electromagnetic (EM) optimization approach to microwave components using adjoint-sensitivity-based neuro-transfer function (neuro-TF) surrogate.
F. Feng +5 more
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This article proposes a novel parallel gradient-based electromagnetic (EM) optimization approach to microwave components using adjoint-sensitivity-based neuro-transfer function (neuro-TF) surrogate.
F. Feng +5 more
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Machine learning for adjoint vector in aerodynamic shape optimization
Acta Mechanica Sinica, 2020Adjoint method is widely used in aerodynamic design because only once solution of flow field is required for it to obtain the gradients of all design variables.
Mengfei Xu +4 more
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Flow over natural or engineered surfaces: an adjoint homogenization perspective
Journal of Fluid Mechanics, 2019Natural and engineered surfaces are never smooth, but irregular, rough at different scales, compliant, possibly porous, liquid impregnated or superhydrophobic.
A. Bottaro
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Adjoint Sampling: Highly Scalable Diffusion Samplers via Adjoint Matching
International Conference on Machine LearningWe introduce Adjoint Sampling, a highly scalable and efficient algorithm for learning diffusion processes that sample from unnormalized densities, or energy functions.
Aaron J. Havens +12 more
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Acta Mathematica Hungarica, 2002
Let \(R\) be an associative ring and let \((R,\circ)\) be the adjoint semigroup of \(R\), where \(a\circ b=a+b-ab\) for \(a,b\in R\). This paper continues the authors' investigations into the relationship between a ring and its adjoint semigroup [\textit{H. Heatherly} and \textit{R. P. Tucci}, Acta Math. Hung. 90, No. 3, 231-242 (2001; Zbl 0973.20059)].
Heatherly, Henry, Tucci, Ralph P.
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Let \(R\) be an associative ring and let \((R,\circ)\) be the adjoint semigroup of \(R\), where \(a\circ b=a+b-ab\) for \(a,b\in R\). This paper continues the authors' investigations into the relationship between a ring and its adjoint semigroup [\textit{H. Heatherly} and \textit{R. P. Tucci}, Acta Math. Hung. 90, No. 3, 231-242 (2001; Zbl 0973.20059)].
Heatherly, Henry, Tucci, Ralph P.
openaire +2 more sources