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SUMMARY:Mixed Methods for Two-Phase Darcy-Stokes Mixtures of Partially Mel
 ted Materials with Regions of Zero Porosity - Todd Arbogast (University of
  Texas at Austin)
DTSTART:20160608T080000Z
DTEND:20160608T100000Z
UID:TALK66388@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Co-authors: Marc A. Hesse and Abraham L. Taicher<br><span><br>
 The Earth&#39\;s mantle\, or an ice sheet\, involves a deformable solid ma
 trix phase within which a second phase\, a fluid\, may form due to melting
  processes. &nbsp\;The mechanics of this system is modeled as a dual-conti
 nuum\, with at each point of space the solid matrix being governed by a St
 okes system and the fluid melt\, if it exists\, being governed by a Darcy 
 law. &nbsp\;This system is mathematically degenerate when the porosity (vo
 lume fraction of fluid) vanishes. &nbsp\;We develop the variational framew
 ork needed for accurate approximation of this Darcy-Stokes system\, even w
 hen there are regions of positive measure where only one phase exists. &nb
 sp\;We then develop an accurate mixed finite element method for solving th
 e system and show some numerical results.</span>
LOCATION:Seminar Room 1\, Newton Institute
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