Sixth Mississippi State Conference on Differential Equations and
Computational Simulations.
Electronic Journal of Differential Equations,
Conference 15 (2007), pp. 193-210.

Title: An augmented IIM-level set method for Stokes
       equations with discontinuous viscosity

Authors: Zhilin Li    (North Carolina State Univ., Raleigh, NC, USA)
         Sharon R. Lubkin (North Carolina State Univ., Raleigh, NC, USA)
	 Xiaohai Wan  (North Carolina State Univ., Raleigh, NC, USA)
 
Abstract: 
 A finite difference method is proposed for
 incompressible Stokes equations with discontinuous viscosity.
 The method combines the augmented immersed interface method with a
 level set representation of the interface on a uniform Cartesian grid.
 In the proposed method, augmented interface variables are introduced
 along the interface and be solved  by the GMRES iterative method.
 The augmented approach allows fast Poisson
 solvers to be used and therefore is very efficient.  Numerical examples
 including two moving interface problems are presented.

Published February 28, 2007.
Math Subject Classifications: 65M06, 65M12, 76T05.
Key Words: Incompressible Stokes equations; discontinuous viscosity;
    interface problem; immersed interface method; level set method;
    fast Poisson solver, GMRES.