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Michael Wathen
An Approximate Inverse-Based Preconditioner for Incompressible Magnetohydrodynamics

ICICS/CS Building 201 - 2366 Main Mall
Vancouver
BC V6T 1Z4
mwathen@cs.ubc.ca
Chen Greif

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.





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