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 |
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
- Applied Mathematics