A high-order radial basis function (RBF) Leray projection method for the solution of the incompressible unsteady Stokes equations

Computers & Fluids ◽

10.1016/j.compfluid.2016.01.009 ◽

2016 ◽

Vol 128 ◽

pp. 41-52 ◽

Cited By ~ 6

Author(s):

Edward J. Fuselier ◽

Varun Shankar ◽

Grady B. Wright

Keyword(s):

Radial Basis Function ◽

Projection Method ◽

Basis Function ◽

Stokes Equations ◽

High Order ◽

Radial Basis ◽

Unsteady Stokes Equations

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Efficient high-order radial basis-function-based differential quadrature–finite volume method for incompressible flows on unstructured grids

Physical Review E ◽

10.1103/physreve.104.045312 ◽

2021 ◽

Vol 104 (4) ◽

Author(s):

Y. Y. Liu ◽

L. M. Yang ◽

C. Shu ◽

H. W. Zhang

Keyword(s):

Radial Basis Function ◽

Finite Volume Method ◽

Finite Volume ◽

Basis Function ◽

Incompressible Flows ◽

Unstructured Grids ◽

High Order ◽

Differential Quadrature ◽

Radial Basis ◽

Volume Method

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On a high-order Gaussian radial basis function generated Hermite finite difference method and its application

CALCOLO ◽

10.1007/s10092-021-00443-4 ◽

2021 ◽

Vol 58 (4) ◽

Author(s):

Fazlollah Soleymani ◽

Shengfeng Zhu

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Radial Basis Function ◽

Basis Function ◽

Difference Method ◽

High Order ◽

Radial Basis

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Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier–Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(02)00618-7 ◽

2003 ◽

Vol 192 (7-8) ◽

pp. 941-954 ◽

Cited By ~ 288

Author(s):

C Shu ◽

H Ding ◽

K.S Yeo

Keyword(s):

Radial Basis Function ◽

Basis Function ◽

Stokes Equations ◽

Differential Quadrature Method ◽

Differential Quadrature ◽

Navier Stokes ◽

Two Dimensional ◽

Quadrature Method ◽

Navier Stokes Equations ◽

Radial Basis

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A high order method for pricing of financial derivatives using Radial Basis Function generated Finite Differences

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2020.02.005 ◽

2020 ◽

Vol 174 ◽

pp. 205-217 ◽

Cited By ~ 2

Author(s):

Slobodan Milovanović ◽

Lina von Sydow

Keyword(s):

Radial Basis Function ◽

Basis Function ◽

Finite Differences ◽

Financial Derivatives ◽

High Order ◽

Order Method ◽

High Order Method ◽

Radial Basis

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A Meshless Local Radial Basis Function Method for Two-Dimensional Incompressible Navier-Stokes Equations

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790.2014.955779 ◽

2014 ◽

Vol 67 (4) ◽

pp. 320-337 ◽

Cited By ~ 20

Author(s):

Zhi Heng Wang ◽

Zhu Huang ◽

Wei Zhang ◽

Guang Xi

Keyword(s):

Radial Basis Function ◽

Basis Function ◽

Function Method ◽

Stokes Equations ◽

Navier Stokes ◽

Two Dimensional ◽

Navier Stokes Equations ◽

Radial Basis ◽

Radial Basis Function Method

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Numerical solution of backward-facing step flow by a high-order radial-basis-function-based method

10.1063/5.0068396 ◽

2021 ◽

Author(s):

Thinh Q. Thai

Keyword(s):

Radial Basis Function ◽

Numerical Solution ◽

Basis Function ◽

High Order ◽

Backward Facing Step ◽

Step Flow ◽

Radial Basis

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Radial basis function meshless method for the steady incompressible Navier–Stokes equations

International Journal of Computer Mathematics ◽

10.1080/00207160701308309 ◽

2007 ◽

Vol 84 (10) ◽

pp. 1509-1521 ◽

Cited By ~ 38

Author(s):

Phani P. Chinchapatnam ◽

K. Djidjeli ◽

Prasanth B. Nair

Keyword(s):

Radial Basis Function ◽

Basis Function ◽

Meshless Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Radial Basis

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Solving high order ordinary differential equations with radial basis function networks

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1220 ◽

2005 ◽

Vol 62 (6) ◽

pp. 824-852 ◽

Cited By ~ 50

Author(s):

N. Mai-Duy

Keyword(s):

Differential Equations ◽

Radial Basis Function ◽

Ordinary Differential Equations ◽

Basis Function ◽

High Order ◽

Radial Basis Function Networks ◽

Radial Basis

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A local radial basis function projection method for incompressible flows in water eutrophication

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2019.06.004 ◽

2019 ◽

Vol 106 ◽

pp. 528-540 ◽

Cited By ~ 1

Author(s):

Zineb Tabbakh ◽

Mohammed Seaid ◽

Rachid Ellaia ◽

Driss Ouazar ◽

Fayssal Benkhaldoun

Keyword(s):

Radial Basis Function ◽

Projection Method ◽

Basis Function ◽

Incompressible Flows ◽

Radial Basis ◽

Water Eutrophication

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Solving high-order partial differential equations with indirect radial basis function networks

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1332 ◽

2005 ◽

Vol 63 (11) ◽

pp. 1636-1654 ◽

Cited By ~ 19

Author(s):

N. Mai-Duy ◽

R. I. Tanner

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Radial Basis Function ◽

Basis Function ◽

High Order ◽

Radial Basis Function Networks ◽

Partial Differential ◽

Radial Basis

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