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DTSTAMP:20190719T085744Z
LOCATION:HG E 1.2
DTSTART;TZID=Europe/Stockholm:20190613T181500
DTEND;TZID=Europe/Stockholm:20190613T184500
UID:submissions.pasc-conference.org_PASC19_sess134_msa277@linklings.com
SUMMARY:Implicit Solvers for Spectral Element Discretizations of Elastic M
 edia
DESCRIPTION:Minisymposium\nSolid Earth Dynamics\n\nImplicit Solvers for Sp
 ectral Element Discretizations of Elastic Media\n\nMay, Gabriel\n\nThe usa
 ge of spectral element with explicit time integrators is wide spread throu
 ghout the computational seismology community. For studying short time scal
 e processes, this approach is highly advantageous due to its accuracy, and
  ease of implementation. Much of the ease of implementation stems from the
  fact that the discrete operator used to update the time evolution equatio
 ns is diagonal and thus does not require one to use a preconditioned Krylo
 v method to obtain the updated acceleration. However, when applying the sa
 me space-time discretisation to study longer time scale processes, such as
  required to simulate an entire seismic cycle, this methodology is no long
 er efficient. In this work, I present a class of auxiliary space precondit
 ioners which are by construction designed for use with spectral element di
 scretizations. The family of preconditioners are suitable for the discrete
  operators arising from implicit time integrators of the elastodynamics pr
 oblem, and or quasi-static / static formulations. Most importantly, the au
 xiliary space preconditioners are relatively easy to implement, efficient 
 and scalable. The efficiency and simplicity of these preconditioners deriv
 es from their local (element-wise) definition, and application. The implem
 entation details and performance obtained using the auxiliary space precon
 ditioners for implicit elastodynamics and static elastic formulations will
  be presented.
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