A Wavelet Multigrid Method Applied to the Stokes and Incompressible Navier-stokes Problems
نویسنده
چکیده
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.
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