===affil2:
Argonne National Laboratory
===firstname:
Jungho
===firstname4:
Lois
===firstname3:
Mihai
===lastname2:
Abhyankar 
===lastname:
Lee
===firstname5:
Todd
===affil6:
Argonne National Laboratory
===lastname3:
Anitescu
===email:
julee@mcs.anl.gov
===lastname6:
Smith
===affil5:
Argonne National Laboratory
===otherauths:

===lastname4:
McInnes
===affil4:
Argonne National Laboratory
===lastname7:
Wang 
===affil7:
Argonne National Laboratory
===firstname7:
Lei
===postal:
Argonne National Laboratory
9700 South Cass Avenue
Building 240
Argonne, IL 60439
===firstname6:
Barry
===ABSTRACT:
Recent progress on the development of scalable differential
variational inequality multigrid-based solvers for the
phase-field approach to mesoscale materials modeling is described. We
have developed an active-set method for variational inequalities
in PETSc, leveraging experience by the optimization community in TAO. A geometric
multigrid solver in PETSc is used to solve the resulting linear
systems. We present strong and weak scaling results for 2D coupled
Allen-Cahn/Cahn-Hilliard systems.
===affil3:
Argonne National Laboratory
===lastname5:
Munson
===affilother:

===title:
Scalable DVI and Multigrid for phase-field equations

===firstname2:
Shrirang