Numerical study of multigrid methods with various smoothers
                  for the elliptic grid generation equations

                                 W. L. Golik

                                   ABSTRACT

A robust solver for the elliptic grid generation equations is sought via a
numerical study.  The system of nonlinear PDEs is discretized with finite
differences and multigrid methods are applied to the resulting nonlinear
algebraic equations.  Linear and nonlinear multigrid iterations are compared
with respect to the robustness and efficiency.  Different smoothers are tried
to improve the convergence of iterations.  The methods are applied to three 2D
grid generation problems over a wide range of grid distortions.  The results
of the study help to select smoothing schemes and the overall multigrid
procedures for eliptic grid generation.




Wojciech L. Golik             Department of Mathematics & Computer Science
golik@arch.umsl.edu           University of Missouri - St. Louis
phone:  (314)553-6521         8001 Natural Bridge Rd.
fax:    (314)553-5400         St. Louis, MO  63121-4499