### Abstract

Mathematical analysis is achieved on a mcshless method for the stationary incompressible Stokes and Navier-Stokes equations. In particular, the Moving Least Square Reproducing Kernel(MLSRK) method is employed. The existence of discrete solution and its error estimate are obtained. As a numerical example for convergence analysis, we compute the numerical solutions for these equations to compare with exact solutions. Also we solve the driven cavity flow numerically as a test problem.

Original language | English |
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Pages (from-to) | 495-525 |

Number of pages | 31 |

Journal | Discrete and Continuous Dynamical Systems - Series B |

Volume | 1 |

Issue number | 4 |

Publication status | Published - 2001 Dec 1 |

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### All Science Journal Classification (ASJC) codes

- Discrete Mathematics and Combinatorics
- Applied Mathematics

### Cite this

*Discrete and Continuous Dynamical Systems - Series B*,

*1*(4), 495-525.

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*Discrete and Continuous Dynamical Systems - Series B*, vol. 1, no. 4, pp. 495-525.

**Meshless method for the stationary incompressible Navier-Stokes equations.** / Choe, Hi Jun; Kim, Do Wan; Kim, Hyea Hyun; Kim, Yongsik.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Meshless method for the stationary incompressible Navier-Stokes equations

AU - Choe, Hi Jun

AU - Kim, Do Wan

AU - Kim, Hyea Hyun

AU - Kim, Yongsik

PY - 2001/12/1

Y1 - 2001/12/1

N2 - Mathematical analysis is achieved on a mcshless method for the stationary incompressible Stokes and Navier-Stokes equations. In particular, the Moving Least Square Reproducing Kernel(MLSRK) method is employed. The existence of discrete solution and its error estimate are obtained. As a numerical example for convergence analysis, we compute the numerical solutions for these equations to compare with exact solutions. Also we solve the driven cavity flow numerically as a test problem.

AB - Mathematical analysis is achieved on a mcshless method for the stationary incompressible Stokes and Navier-Stokes equations. In particular, the Moving Least Square Reproducing Kernel(MLSRK) method is employed. The existence of discrete solution and its error estimate are obtained. As a numerical example for convergence analysis, we compute the numerical solutions for these equations to compare with exact solutions. Also we solve the driven cavity flow numerically as a test problem.

UR - http://www.scopus.com/inward/record.url?scp=0012457042&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0012457042&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0012457042

VL - 1

SP - 495

EP - 525

JO - Discrete and Continuous Dynamical Systems - Series B

JF - Discrete and Continuous Dynamical Systems - Series B

SN - 1531-3492

IS - 4

ER -