===affil2:

===firstname:
Andrew
===firstname4:

===firstname3:

===lastname2:
Olson
===keyword1:
APP_OTHER
===lastname:
Reisner
===firstname5:

===affil6:

===lastname3:

===email:
areisne2@illinois.edu
===keyword2:
Multigrid
===keyword_other2:

===lastname6:

===affil5:

===otherauths:

===lastname4:

===affil4:

===lastname7:

===competition:
no
===affil7:

===firstname7:

===postal:
107 N Busey Apt. B
Urbana, IL 61801
===firstname6:

===ABSTRACT:
High fidelity electric field calculations are a critical component in plasma
simulations.  In this this talk we consider the problem of a dielectric 
barrier
discharge (DBD) wherein the electric field is calculated to support a
compressible flow, thus requiring a highly efficient global solve.  The 
electric
field is constructed on a logically structured but mapped mesh which yields
anisotropy in the operator, along with jumps in the permittivity.  Another
challenge arises in the modeling of a dielectric barrier discharge, where
dielectrics result in localized Dirichlet blocks within the domain. In a
multilevel solver, these interior blocks are not resolved on coarse grids,
leading to a deterioration in convergence with a strong dependence on the
alignment and size relative to the coarse levels.  We investigate the
dependence of various multilevel solvers in this context and in a parallel
setting.  In particular, we detail the convergence of multilevel methods for
high resolution electric field calculations in the presence of warped meshes
with jumping coefficients.

===affil3:

===keyword_other1:
Plasma Physics
===lastname5:

===affilother:

===title:
Multilevel Solvers for High Resolution Electric Field Calculations
===firstname2:
Luke