Optimal solvers for H(curl) and H(div) systems in terms
of Poisson solvers

Jinchao Xu
Dept. of Mathematics
Center for Computational Mathematics and Applications
The Pennsylvania State University
xu@math.psu.edu

A new class of optimal solvers will be presented for H (curl) and H(div) systems in terms of Poisson Solvers. As a direct application, optimal AMG solvers can be obtained for H(curl) and H (div) systems whenever optimal AMG solvers are available for Poisson equations. Both theoretical and numerical examples will be given. This work is in joint with Ralf Hiptmair.