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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…
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Keywords:
least squares;
method;
weighted meshless;
meshless method ... See more keywords
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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,…
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Keywords:
solution stochastic;
partial differential;
efficient solution;
method ... See more keywords
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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…
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Keywords:
fully lagrangian;
meshless method;
laminar;
lagrangian meshless ... See more keywords
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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…
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Keywords:
order;
meshless method;
high order;
order meshless ... See more keywords
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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…
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Keywords:
diffusion;
transform based;
time;
meshless ... See more keywords
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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…
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Keywords:
distributed order;
order;
time fractional;
order time ... See more keywords
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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…
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Keywords:
huang;
adaptive moving;
moving knots;
method simulating ... See more keywords
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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…
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Keywords:
stress intensity;
intensity;
intensity factors;
meshless method ... See more keywords
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1
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…
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Keywords:
control;
stochastic elliptic;
meshless method;
problems stochastic ... See more keywords
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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…
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Keywords:
shape;
shape functions;
meshless method;
edge meshless ... See more keywords
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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…
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Keywords:
traction free;
stress functions;
method;
hybrid stress ... See more keywords