Tau-adaptivity for nonsmooth processes in heterogeneous media

Jed Brown, Argonne National Laboratory, Argonne, United States, Mark A. Adams, Lawrence Berkeley National Laboratory, Berkeley, CA, United States and Matthew Knepley, University at Buffalo, Buffalo, NY, United States
Abstract:
We propose a form of adaptivity based on FAS multigrid and related to the "frozen τ technique proposed by Achi Brandt, allowing fine grid work to be avoided in regions with nearly-linear behavior, despite arbitrarily rough coefficients. We investigate indicators for reuse of τ, practicality of dynamic load balancing, and experiment with localized plastic yielding in lithosphere dynamics.
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