A truly meshless Galerkin method based on a moving least squares quadrature

Communications in Numerical Methods in Engineering ◽

10.1002/cnm.503 ◽

2002 ◽

Vol 18 (6) ◽

pp. 441-449 ◽

Author(s):

Marc Duflot ◽

Hung Nguyen-Dang

Keyword(s):

Galerkin Method ◽

Least Squares ◽

Moving Least Squares ◽

Meshless Galerkin Method

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A meshless local Galerkin method for solving Volterra integral equations deduced from nonlinear fractional differential equations using the moving least squares technique

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.04.014 ◽

2019 ◽

Vol 143 ◽

pp. 276-299 ◽

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Differential Equations ◽

Galerkin Method ◽

Least Squares ◽

Integral Equations ◽

Fractional Differential Equations ◽

Volterra Integral Equations ◽

Moving Least Squares ◽

Nonlinear Fractional Differential Equations ◽

Fractional Differential ◽

Local Galerkin Method

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Analysis of the complex moving least squares approximation and the associated element-free Galerkin method

Applied Mathematical Modelling ◽

10.1016/j.apm.2017.03.019 ◽

2017 ◽

Vol 47 ◽

pp. 45-62 ◽

Author(s):

Xiaolin Li ◽

Shuling Li

Keyword(s):

Galerkin Method ◽

Least Squares ◽

Moving Least Squares ◽

Least Squares Approximation ◽

Element Free Galerkin Method ◽

Element Free Galerkin ◽

Element Free ◽

Moving Least Squares Approximation

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A natural neighbour-based moving least-squares approach for the element-free Galerkin method

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1956 ◽

2007 ◽

Vol 71 (2) ◽

pp. 224-252 ◽

Author(s):

Thomas Most

Keyword(s):

Galerkin Method ◽

Least Squares ◽

Moving Least Squares ◽

Element Free Galerkin Method ◽

Element Free Galerkin ◽

Element Free ◽

Least Squares Approach

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A MESHLESS LOCAL GALERKIN METHOD FOR THE NUMERICAL SOLUTION OF HAMMERSTEIN INTEGRAL EQUATIONS BASED ON THE MOVING LEAST SQUARES TECHNIQUE

Journal of Applied Analysis & Computation ◽

10.11948/2019.75 ◽

2019 ◽

Vol 9 (1) ◽

pp. 75-104 ◽

Author(s):

Pouria Assari ◽

Keyword(s):

Galerkin Method ◽

Numerical Solution ◽

Least Squares ◽

Integral Equations ◽

Moving Least Squares ◽

Hammerstein Integral Equations ◽

Local Galerkin Method

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Efficiency of the meshless local Petrov-Galerkin method with moving least squares approximation for thermal conduction applications

10.1063/1.4825992 ◽

2013 ◽

Author(s):

Nikolaos P. Karagiannakis ◽

George C. Bourantas ◽

Alexandros N. Kalarakis ◽

Eugene D. Skouras ◽

Vasilis N. Burganos

Keyword(s):

Galerkin Method ◽

Least Squares ◽

Thermal Conduction ◽

Moving Least Squares ◽

Least Squares Approximation ◽

Moving Least Squares Approximation

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A Moving Least Squares Based Meshless Element-Free Galerkin Method for the Coupled Simulation of Groundwater Flow and Contaminant Transport in an Aquifer

Water Resources Management ◽

10.1007/s11269-020-02689-z ◽

2020 ◽

Vol 34 (15) ◽

pp. 4773-4794

Author(s):

Tinesh Pathania ◽

T. I. Eldho

Keyword(s):

Groundwater Flow ◽

Galerkin Method ◽

Least Squares ◽

Contaminant Transport ◽

Moving Least Squares ◽

Element Free Galerkin Method ◽

Coupled Simulation ◽

Element Free Galerkin ◽

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An Element Free Galerkin Method Based on the Modified Moving Least Squares Approximation

Journal of Scientific Computing ◽

10.1007/s10915-016-0337-z ◽

2016 ◽

Vol 71 (3) ◽

pp. 1197-1211 ◽

Author(s):

Habibullah Amin Chowdhury ◽

Adam Wittek ◽

Karol Miller ◽

Grand Roman Joldes

Keyword(s):

Galerkin Method ◽

Least Squares ◽

Moving Least Squares ◽

Least Squares Approximation ◽

Element Free Galerkin Method ◽

Element Free Galerkin ◽

Element Free ◽

Modified Moving Least Squares ◽

Moving Least Squares Approximation

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Meshless local Petrov-Galerkin method with moving least squares approximation for transient thermal conduction applications with variable conductivity

10.1063/1.4912326 ◽

2015 ◽

Author(s):

N. P. Karagiannakis ◽

G. C. Bourantas ◽

A. N. Kalarakis ◽

E. D. Skouras ◽

V. N. Burganos

Keyword(s):

Galerkin Method ◽

Least Squares ◽

Thermal Conduction ◽

Moving Least Squares ◽

Least Squares Approximation ◽

Transient Thermal ◽

Variable Conductivity ◽

Moving Least Squares Approximation

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Accuracy of Boundary Condition between Multi-Dimensional Moving Least Squares Method and Element Free Galerkin Method

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A ◽

10.1299/kikaia.79.100 ◽

2013 ◽

Vol 79 (797) ◽

pp. 100-104

Author(s):

Kohei SAKIHARA ◽

Hitoshi MATSUBARA ◽

Taka-aki EDO ◽

Genki YAGAWA

Keyword(s):

Boundary Condition ◽

Galerkin Method ◽

Least Squares ◽

Least Squares Method ◽

Moving Least Squares ◽

Element Free Galerkin Method ◽

Element Free Galerkin ◽

Moving Least Squares Method ◽

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A Moving Least Squares weighting function for the Element-free Galerkin Method which almost fulfills essential boundary conditions

STRUCTURAL ENGINEERING AND MECHANICS ◽

10.12989/sem.2005.21.3.315 ◽

2005 ◽

Vol 21 (3) ◽

pp. 315-332 ◽

Author(s):

Thomas Most ◽

Christian Bucher

Keyword(s):

Boundary Conditions ◽

Galerkin Method ◽

Least Squares ◽

Weighting Function ◽

Moving Least Squares ◽

Element Free Galerkin Method ◽

Element Free Galerkin ◽

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