Analytic Solutions of Some Self-Adjoint Equations by Using Variable Change Method and Its Applications [PDF]
Journal of Applied Mathematics, 2012 Many applications of various self-adjoint differential equations, whose solutions are complex, are produced (Arfken, 1985; Gandarias, 2011; and Delkhosh, 2011).
Mehdi Delkhosh, Mohammad Delkhosh
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Accelerating adjoint variable method based photonic optimization with Schur complement domain decomposition [PDF]
Optics Express, 2019 Adjoint variable method in combination with gradient descent optimization has been widely used for the inverse design of nanophotonic devices. In many of such optimizations, the design region is only a small fraction of the total computational domain.
Zhao, Nathan +2 more
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A Shape Optimisation with the Isogeometric Boundary Element Method and Adjoint Variable Method for the Three-Dimensional Helmholtz Equation [PDF]
Computer-Aided Design, 2022 This paper presents a shape optimisation system to design the shape of an acoustically-hard object in the three-dimensional open space. Boundary element method (BEM) is suitable to analyse such an exterior field. However, the conventional BEM, which is based on piecewise polynomial shape and interpolation functions, can require many design variables ...
Toru Takahashi 0002 +3 more
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A New Adjoint Variable Method for the Sensitivity Analysis of Dynamic Responses [PDF]
, 1993 A new adjoint variable method has been formulated for finding the sensitivity derivatives of dynamic system responses. Though the method can be based on any step-by-step time marching scheme, the Wilson Theta Method has been chosen as the basis of the new formulation .
Ramesh, Krishnamoorthy
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Sensitivity analysis for any functions of static elastic systems using combination of adjoint variable method and automatic differentiation for topology optimization [PDF]
Nihon Kikai Gakkai ronbunshuThis study proposes a methodology to generalize and reduce the computational cost of sensitivity analysis for static linear elastic systems in topology optimization.
Shun OGAWA +2 more
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Influence Research on Stability Margin for Flying Wing Configuration
Hangkong gongcheng jinzhan, 2022 Reduction of trim loss is essential to raise lift-to-drag ratio and enhance flight control performance for flying wing configuration,so the influence on aerodynamic optimization of transonic flying wing configuration is studied based on discrete adjoint ...
CHEN Lili +5 more
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A pseudospectral method for budget-constrained infinite horizon optimal control problems [PDF]
ESAIM: Proceedings and Surveys, 2021 In this paper a generalization of the indirect pseudo-spectral method, presented in [17], for the numerical solution of budget-constrained infinite horizon optimal control problems is presented.
Burtchen Angie +2 more
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Applied Sciences, 2023 In the Formula Student Racing Car, the frame is a fundamental component that supports the body. The frame’s anti-deformation ability will impact the four-wheel positioning parameters of the car, which subsequently affect the car’s stability.
Weiyang Ma +4 more
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Two‐Dimensional Angular Bandwidth Broadening of Metasurface Grating
Advanced Photonics Research, 2022 Waveguide‐type near‐eye displays (NED) have attracted increasing attention in the market of augmented reality (AR) and virtual reality (VR) devices, thanks to their outstanding performance within ultra‐compact size.
Chulsoo Choi +4 more
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Adjoint Variable Method for the Study of Combined Active and Passive Magnetic Shielding [PDF]
Mathematical Problems in Engineering, 2008 For shielding applications that cannot sufficiently be shielded by only a passive shield, it is useful to combine a passive and an active shield. Indeed, the latter does the “finetuning” of the field reduction that is mainly caused by the passive shield.
Sergeant, Peter +4 more
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