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SUMMARY:A four-field mixed finite element method for the Biot model and it
 s solution algorithms - Son-Young Yi (University of Texas at El Paso)
DTSTART:20160608T130000Z
DTEND:20160608T134500Z
UID:TALK66390@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Co-author: Maranda L. Bean&nbsp\;<br><br><span>               
   In this talk\, I will&nbsp\;present a four-field mixed finite element me
 thod for the 2D Biot&rsquo\;s consolidation model of poroelasticity. The m
 ethod is based on coupling two mixed finite element methods for each subpr
 oblem: the standard mixed finite element method for the flow subproblem an
 d the Hellinger-Reissner formulation for the mechanical subproblem. Optima
 l a-priori error estimates are proved for both semi-discrete and fully dis
 crete problems. <br>  <span><br>In solving the coupled system\, the two su
 bproblems can be solved either simultaneously in a fully coupled scheme or
  sequentially in a loosely coupled scheme. &nbsp\;I will present&nbsp\;fou
 r iteratively coupled methods\, known as drained\, undrained\, fixed-strai
 n\, and fixed-stress splits\, in which the diffusion operator is separated
  from the elasticity operator and the two subproblems are solved in a stag
 gered way while ensuring convergence of the solution. &nbsp\;A-priori conv
 ergence results for each iterative coupling scheme will be proved and conf
 irmed numerically.<br><br></span></span><br>
LOCATION:Seminar Room 1\, Newton Institute
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