===firstname:
Michael
===firstname3:

===affil6:

===lastname3:

===email:
mwathen@cs.ubc.ca
===keyword_other2:

===lastname6:

===affil5:

===lastname4:

===lastname7:

===affil7:

===postal:
ICICS/CS Building 201 - 2366 Main Mall, 
Vancouver, 
BC V6T 1Z4
===ABSTRACT:
We consider an approximate inverse preconditioner for a mixed finite element discretization of an incompressible magnetohydrodynamics (MHD) problem. The derivation relies on the nullity of the discrete curl-curl operator in the Maxwell subproblem. We obtain a formula for the inverse that contains zero blocks, and use discretization considerations to sparsify the formula to develop a practical preconditioner. We demonstrate the viability of our approach with a set of preliminary numerical experiments.
===affil3:

===title:
An Approximate Inverse-Based Preconditioner for Incompressible Magnetohydrodynamics
===affil2:
UBC Computer Science Dept
===lastname2:
Greif
===firstname4:

===keyword1:
Coupled multi-physics problems: electromagnetics/fluids
===workshop:
no
===lastname:
Wathen
===firstname5:

===keyword2:
Solvers for indefinite systems
===otherauths:

===affil4:

===competition:
yes
===firstname7:

===firstname6:

===keyword_other1:

===lastname5:

===affilother:

===firstname2:
Chen