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SUMMARY:Computational Considerations for Magma Dynamics Simulation - Matth
 ew Knepley  (Rice University)
DTSTART:20160219T143000Z
DTEND:20160219T153000Z
UID:TALK64726@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>Co-author: Tobin Issac\, University of Chicago<br></span
 ><br>The optimal solver for a given problem depends not only on the equati
 ons being solved\, but the boundary conditions\, discretization\, paramete
 rs\, problem regime\, and machine architecture. This interdependence means
  that \\textit{a priori} selection of a solver is a fraught activity and s
 hould be avoided at all costs. While there are many packages which allow f
 lexible selection and (some) combination of linear solvers\, this understa
 nding has not yet penetrated the world of nonlinear solvers. We will brief
 ly discuss techniques for combining nonlinear solvers\, theoretical underp
 innings\, and show concrete examples from magma dynamics.  &nbsp\;  <span>
 &nbsp\; <br><br>The same considerations which are present for solver selec
 tion should also be taken into account when choosing a discretization. How
 ever\, scientific software seems even less likely to allow the user freedo
 m here than in the nonlinear solver regime. We will discuss tradeoffs invo
 lved in choosing a discretization of the magma dynamics problem\, and demo
 nstrate how a flexible mechanism might work using examples from the PETSc 
 libraries from Argonne National Laboratory.</span>
LOCATION:Seminar Room 1\, Newton Institute
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