Results 1 to 10 of about 32,351 (273)
Application of Generalized Finite Difference Method for Nonlinear Analysis of the Electrothermal Micro-Actuator [PDF]
MicromachinesIn this work, the generalized finite difference method (GFDM), a popular meshless numerical method, is employed for predicting the thermal and mechanical behavior of an electrothermal micro-actuator. Based on the concept of GFDM and discretization on the
Hao Chen +4 more
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Open Physics, 2020 Multi-term time-fractional partial differential equations (PDEs) have become a hot topic in the field of mathematical physics and are used to improve the modeling accuracy in the description of anomalous diffusion processes compared to the single-term ...
Li Jun-Feng +6 more
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Accelerated Training of Physics Informed Neural Networks (PINNs) using Meshless Discretizations [PDF]
Neural Information Processing Systems, 2022 We present a new technique for the accelerated training of physics-informed neural networks (PINNs): discretely-trained PINNs (DT-PINNs). The repeated computation of partial derivative terms in the PINN loss functions via automatic differentiation during
Ramansh Sharma, Varun Shankar
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A novel meshless method based on the virtual construction of node control domains for porous flow problems [PDF]
Engineering computations, 2022 In this paper, a novel meshless method that can handle porous flow problems with singular source terms is developed by virtually constructing node control domains.
X. Rao
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Stable Vortex Particle Method Formulation for Meshless Large-Eddy Simulation [PDF]
AIAA Journal, 2022 A novel formulation of the vortex particle method (VPM) is developed for large-eddy simulation (LES) in a meshless scheme that is numerically stable. A new set of VPM governing equations are derived from the LES-filtered Navier–Stokes equations.
Eduardo J. Álvarez, A. Ning
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Energies, 2021 One of the goals of new CAE (Computer Aided Engineering) software is to reduce both time and costs of the design process without compromising accuracy.
Davide Miotti +2 more
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AIMS Mathematics, 2023 The numerical solution of the time-fractional Black-Scholes model for European and American options is presented using a local meshless collocation approach based on hybrid Gaussian-cubic radial basis functions with polynomials is presented. The approach
H. Ahmad +4 more
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RBF-Based Local Meshless Method for Fractional Diffusion Equations
Fractal and Fractional, 2023 The fractional diffusion equation is one of the important recent models that can efficiently characterize various complex diffusion processes, such as in inhomogeneous or heterogeneous media or in porous media.
K. Kamran +5 more
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International Journal of Numerical Methods for Heat & Fluid Flow, 2023 Purpose This study aims to simulate the dendritic growth in Stokes flow by iteratively coupling a domain and boundary type meshless method. Design/methodology/approach A preconditioned phase-field model for dendritic solidification of a pure ...
T. Dobravec +3 more
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A meshless method to compute pressure fields from image velocimetry [PDF]
Measurement science and technology, 2021 We propose a meshless method to compute pressure fields from image velocimetry data, regardless of whether this is available on a regular grid as in cross-correlation based velocimetry or on scattered points as in tracking velocimetry.
P. Sperotto, S. Pieraccini, M. A. Mendez
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