Articles with "meshless method" as a keyword



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Scattered data fitting of Hermite type by a weighted meshless method

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Published in 2018 at "Advances in Computational Mathematics"

DOI: 10.1007/s10444-017-9555-7

Abstract: In many practical problems, it is often desirable to interpolate not only the function values but also the values of derivatives up to certain order, as in the Hermite interpolation. The Hermite interpolation method by… read more here.

Keywords: least squares; method; weighted meshless; meshless method ... See more keywords
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An Efficient Solution for Stochastic Fractional Partial Differential Equations with Additive Noise by a Meshless Method

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Published in 2017 at "International Journal of Applied and Computational Mathematics"

DOI: 10.1007/s40819-017-0455-9

Abstract: With respect to wide range of applications of stochstic partial differential equation (SPDE) and high ability of meshless methods to solve complicated problems, in this paper, an efficient numerical method for the time fractional SPDE,… read more here.

Keywords: solution stochastic; partial differential; efficient solution; method ... See more keywords
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An adaptive fully-Lagrangian meshless method for incompressible laminar flow airfoil studies

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Published in 2017 at "Aerospace Science and Technology"

DOI: 10.1016/j.ast.2017.01.027

Abstract: Laminar incompressible flow around a NACA0012 airfoil placed in a free-stream at various incidences has been revisited with the use of a fully-Lagrangian meshless method based on a Smoothed Particle Hydrodynamics (SPH) formulation. Spatial adaptivity… read more here.

Keywords: fully lagrangian; meshless method; laminar; lagrangian meshless ... See more keywords
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A spatially adaptive high-order meshless method for fluid–structure interactions

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Published in 2019 at "Computer Methods in Applied Mechanics and Engineering"

DOI: 10.1016/j.cma.2019.06.009

Abstract: We present a scheme implementing an a posteriori refinement strategy in the context of a high-order meshless method for problems involving point singularities and fluid-solid interfaces. The generalized moving least squares (GMLS) discretization used in… read more here.

Keywords: order; meshless method; high order; order meshless ... See more keywords
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A localized transform-based meshless method for solving time fractional wave-diffusion equation

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Published in 2017 at "Engineering Analysis With Boundary Elements"

DOI: 10.1016/j.enganabound.2017.10.021

Abstract: Abstract In the present work, a hybrid transform-based localized meshless method is constructed for the solution of fractional diffusion-wave equations. The time stepping procedure is avoided to overcome the problem of time in-stability related to… read more here.

Keywords: diffusion; transform based; time; meshless ... See more keywords
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An RBF based meshless method for the distributed order time fractional advection–diffusion equation

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Published in 2018 at "Engineering Analysis with Boundary Elements"

DOI: 10.1016/j.enganabound.2018.08.007

Abstract: Abstract Distributed order operators and differential equations have been applied to model physical phenomena. Then the numerical methods for these problems are required. In this paper, we consider a meshless method for solving a distributed… read more here.

Keywords: distributed order; order; time fractional; order time ... See more keywords
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Adaptive moving knots meshless method for simulating time dependent partial differential equations

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Published in 2018 at "Engineering Analysis with Boundary Elements"

DOI: 10.1016/j.enganabound.2018.08.010

Abstract: Abstract This paper presents an improvement of Huang’s moving knots method (Huang et al.) for solving the PDE on the contours of Equidistribution Principle (EP-contours). Firstly, a new moving knots strategy is generated by discovering a… read more here.

Keywords: huang; adaptive moving; moving knots; method simulating ... See more keywords
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Thermo-mechanical shock fracture analysis by meshless method

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Published in 2019 at "Theoretical and Applied Fracture Mechanics"

DOI: 10.1016/j.tafmec.2019.04.013

Abstract: Abstract Different types of mechanical and thermal shock loads are considered to investigate transient stress intensity factors of two/three dimensional cracked specimens via meshless method with linear test function. Steady state and transient analyses show… read more here.

Keywords: stress intensity; intensity; intensity factors; meshless method ... See more keywords
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A priori error estimates of a meshless method for optimal control problems of stochastic elliptic PDEs

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Published in 2019 at "International Journal of Computer Mathematics"

DOI: 10.1080/00207160.2018.1483022

Abstract: ABSTRACT In this paper, we study the optimal control problems of stochastic elliptic equations with random field in its coefficients. The main contributions of this work are two aspects. Firstly, a meshless method coupled with… read more here.

Keywords: control; stochastic elliptic; meshless method; problems stochastic ... See more keywords
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Creating higher order vector shape functions based on H(curl) for the edge meshless method

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Published in 2021 at "Journal of Electromagnetic Waves and Applications"

DOI: 10.1080/09205071.2021.1901787

Abstract: ABSTRACT The goal of this work is to extend the Edge Meshless Method (EMM) presenting a new way to build the vector shape functions based on the H(curl) space. These vector shape functions allow the… read more here.

Keywords: shape; shape functions; meshless method; edge meshless ... See more keywords
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A novel hybrid stress meshless method for two-dimension elastic structure with a traction-free circular boundary

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Published in 2017 at "Engineering Computations"

DOI: 10.1108/ec-05-2016-0157

Abstract: Purpose To increase the use of the meshless method, a hybrid stress method is introduced into the meshless method. Design/methodology/approach The method is based on the radial point interpolation method (RPIM). According to the Hellinger… read more here.

Keywords: traction free; stress functions; method; hybrid stress ... See more keywords