Results 31 to 40 of about 57,420 (165)
Heat Explosion In Porous Media Using Radial Basis Functions
MATEC Web of Conferences, 2016 The paper is devoted to the numerical investigation of the interaction between natural convection and heat explosion in a fluid-saturated porous media in a rectangular domain.
Allali Karam +3 more
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Adopting the Multiresolution Wavelet Analysis in Radial Basis Functions to Solve the Perona-Malik Equation [PDF]
Journal of Sciences, Islamic Republic of Iran, 2018 Wavelets and radial basis functions (RBF) have ubiquitously proved very successful to solve different forms of partial differential equations (PDE) using shifted basis functions, and as with the other meshless methods, they have been extensively used in ...
A. Khatoon Abadi, K. Yahya, M. Amini
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Mathematics, 2022 In this paper we propose an approximation method for solving second kind Volterra integral equation systems by radial basis functions. It is based on the minimization of a suitable functional in a discrete space generated by compactly supported radial ...
Pedro González-Rodelas +3 more
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Simulating backward wave propagation in metamaterial with radial basis functions
Results in Applied Mathematics, 2019 In this paper we revisit the radial basis function (RBF) meshless method and implement it to solve the time-dependent Maxwell's equations in metamaterials.
Jichun Li, Bing Nan
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Finite Gradient Models with Enriched RBF-Based Interpolation
Mathematics, 2022 A finite strain gradient model for the 3D analysis of materials containing spherical voids is presented. A two-scale approach is proposed: a least-squares methodology for RVE analysis with quadratic displacements and a full high-order continuum with both
Pedro Areias +3 more
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Mean Dimension of Radial Basis Functions
SIAM Journal on Numerical AnalysisWe show that generalized multiquadric radial basis functions (RBFs) on $\mathbb{R}^d$ have a mean dimension that is $1+O(1/d)$ as $d\to\infty$ with an explicit bound for the implied constant, under moment conditions on their inputs. Under weaker moment conditions the mean dimension still approaches $1$.
Christopher R. Hoyt, Art B. Owen
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EnergiesThe goal of increasing efficiency and durability of fuel cells can be achieved through optimal control of their operating conditions. In order to implement such controllers, accurate and computationally efficient fuel cell models must be developed.
José Agustín Aguilar +6 more
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Mesh-free approach to Helmholtz equation based on radial basis functions
Journal of Telecommunications and Information Technology, 2005 Recently, a radial basis functions (RBFs) method, which was originally proposed for interpolation problems, has been developed and applied to solve partial differential equations and eigenproblems.
Piotr Kowalczyk, Michał Mrozowski
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Advanced RBF Methods for Mapping Aerodynamic Loads onto Structures in High-Fidelity FSI Simulations
FluidsThe reliable exchange of data is a crucial issue for the loose coupling of computational fluid dynamics (CFD) and computational structural mechanics (CSM) modules in fluid–structure interaction (FSI) applications. This paper presents a comparison between
Andrea Chiappa +2 more
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Results in Applied Mathematics, 2022 Some efficient radial basis functions (RBFs) have a free parameter called the shape parameter that controls the shape of approximating function. This parameter is mainly selected by trial and error related to the problem.
Shabnam Sadat Seyed Ghalichi +2 more
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