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Nikolaos Bakas
Function approximation is a fundamental process in a variety of problems in computational mechanics, structural engineering, as well as other domains that require the precise approximation of a phenomenon with an analytic function. This work demonstrates...
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Nazrul Azlan Abdul Samat, Norfifah Bachok and Norihan Md Arifin
The present study aims to offer new numerical solutions and optimisation strategies for the fluid flow and heat transfer behaviour at a stagnation point through a nonlinear sheet that is expanding or contracting in water-based hybrid nanofluids. Most hyb...
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Shilei Cao, Man Yang and Jian Liu
Due to its advantages of easy deployment and high stiffness-to-mass ratio, the utilization of truss structures for constructing large satellites presents an appealing solution for modern space missions, including Earth observation and astronomy. However,...
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Guangxi Sun, Gang Zhang, Jianrong Huang, Qiaoli Shi, Xiaocheng Tang and Salamat Ullah
In the present paper, a modified Fourier series approach is developed for new precise flexural analysis of three different types of concrete plates in a rectangular sewage tank. The bending problems of the bottom plate, side-plate, and the fluid-guiding ...
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Yunbo Zhang, Kun Huang and Wei Xu
A common strategy for studying the nonlinear vibrations of beams is to discretize the nonlinear partial differential equation into a nonlinear ordinary differential equation or equations through the Galerkin method. Then, the oscillations of beams are ex...
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Binghang Lu, Christian Moya and Guang Lin
This paper presents NSGA-PINN, a multi-objective optimization framework for the effective training of physics-informed neural networks (PINNs). The proposed framework uses the non-dominated sorting genetic algorithm (NSGA-II) to enable traditional stocha...
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Jean-Luc Henry, Jimmy Nagau, Jean Velin and Issa-Paul Moussa
This article concerns the improvement of digital image quality using mathematical tools such as nonlinear partial differential operators. In this paper, to perform smoothing on digital images, we propose to use the p(x)-Laplacian operator. Its smoothing ...
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Kevin Ancourt, Jacques Peter and Olivier Atinault
The method of characteristics is a classical method for gaining understanding in the solution of a partial differential equation. It has recently been applied to the adjoint equations of the 2D steady-state Euler equations and the first goal of this pape...
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Jin Wei, Wei Liu, Peixin Gao and Yujie Ding
In this paper, an analytical dynamic model is proposed for vibration suppression of a multi-span continuous bridge by tuned mass dampers (TMDs). Firstly, the partial differential equations (PDEs) that govern the motion of the multi-span continuous bridge...
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Dong Tang, Huixiang Jian, Min Song and Zhongming Jiang
During the operation of underground water-sealed oil storage caverns, a large amount of oil vapor is generated due to volatilization. Oil vapor can easily leak into the surrounding rock, and fractures in the surrounding rock are usually the dominant chan...
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