Meshless method for the stationary incompressible Navier-Stokes equations
Hi Jun Choe Hyea Hyun Kim Do Wan Kim Yongsik Kim
Discrete & Continuous Dynamical Systems - B 2001, 1(4): 495-526 doi: 10.3934/dcdsb.2001.1.495
Mathematical analysis is achieved on a meshless 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.
keywords: Meshless method Stokes equations Navier-Stokes equations MLSRK error estimate.

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