Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Doreen De Leon
Pages: [601] - [622]
Received Date: October 03, 2008
Submitted by:
The standard multigrid procedure performs poorly or may break down when used to solve certain problems. The wavelet multigrid method solves this problem by using a wavelet transform and Schur complements to determine the coarse grid and intergrid transfer operators. This method, previously applied to diffusion and advection-dominated advection-diffusion problems, here is modified for application to systems of partial differential equations, particularly the steady-state Stokes and incompressible Navier-Stokes equations. Numerical results demonstrate the effectiveness of the method applied to these problems.
multigrid, wavelets.
