Results 31 to 40 of about 1,207,944 (247)
A local meshless radial basis functions based method for solving fractional integral equations [PDF]
Computational Algorithms and Numerical Dimensions, 2023 This paper presents a Localized Radial Basis Functions Collocation Method (LRBFCM) for numerically solving one and 2-dimensional Fractional Integral Equations (2D-FIEs).
Mehdi Radmanesh, Mohammad Ebadi
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Meshless Solution of Incompressible Flow Over Backward-Facing Step
Civil and Environmental Engineering, 2016 Article presents the use of the meshless method for numerical simulation of incompressible fluid flow. The article presents the implementation of the meshless local Petrov-Galerkin method (MLPG), with Navier-Stokes equation formulated using the local ...
Mužík Juraj
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Localized boundary-domain integral formulations for problems with variable coefficients [PDF]
, 2002 Specially constructed localized parametrixes are used in this paper instead of a fundamental solution to reduce a boundary value problem with variable coefficients to a localized boundary-domain integral or integro-differential equation (LBDIE or LBDIDE).
Mikhailov, SE
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Meshless local Petrov-Galerkin method for rotating Rayleigh beam using Chebyshev and Legendre polynomials [PDF]
Archive of Mechanical Engineering, 2022 The numerical solutions are obtained for rotating beams; the inclusion of centrifugal force term makes it difficult to get the analytical solutions. In this paper, we solve the free vibration problem of rotating Rayleigh beam using Chebyshev and Legendre
Vijay Panchore
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Mathematics, 2020 In this article, we propose a localized transform based meshless method for approximating the solution of the 2D multi-term partial integro-differential equation involving the time fractional derivative in Caputo’s sense with a weakly singular kernel ...
Kamran Kamran +3 more
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Addressing Integration Error for Polygonal Finite Elements Through Polynomial Projections: A Patch Test Connection [PDF]
, 2013 Polygonal finite elements generally do not pass the patch test as a result of quadrature error in the evaluation of weak form integrals. In this work, we examine the consequences of lack of polynomial consistency and show that it can lead to a ...
Paulino, Glaucio H., Talischi, Cameron
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Ain Shams Engineering Journal, 2016 In this paper, the meshless local radial point interpolation (MLRPI) method is applied to one-dimensional inverse heat conduction problems. The meshless LRPIM is one of the truly meshless methods since it does not require any background integration cells.
Elyas Shivanian +1 more
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Meshless Local Petrov-Galerkin Method in Anisotropic Elasticity
Computer Modeling in Engineering & Sciences, 2004 A meshless method based on the local Petrov-Galerkin approach is proposed for solution of static and elastodynamic problems in a homogeneous anisotropic medium. The Heaviside step function is used as the test functions in the local weak form. It is leading to derive local boundary integral equations (LBIEs).
Sladek, J., Sladek, V., Atluri, S. N.
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Application of Meshless Methods for Thermal Analysis
, 2004 Many numerical and analytical schemes exist for solving heat transfer problems. The meshless method is a particularly attractive method that is receiving attention in the engineering and scientific modeling communities.
Pepper, Darrell, Sarler, Bozidar
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Trefftz Difference Schemes on Irregular Stencils
, 2009 The recently developed Flexible Local Approximation MEthod (FLAME) produces accurate difference schemes by replacing the usual Taylor expansion with Trefftz functions -- local solutions of the underlying differential equation.
Al Shenk +50 more
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