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 |
|---|---|
| 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 |
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
- Applied Mathematics
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Choe, H. J., Kim, D. W., Kim, H. H., & Kim, Y. (2001). Meshless method for the stationary incompressible Navier-Stokes equations. Discrete and Continuous Dynamical Systems - Series B, 1(4), 495-525.