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SUMMARY:An Agglomeration-Based\, Massively Parallel Non-Overlapping Additi
 ve Schwarz Preconditioner for High-Order Discontinuous Galerkin Methods on
  Polytopic Grids - Paul Houston (University of Nottingham)
DTSTART:20191022T120500Z
DTEND:20191022T125000Z
UID:TALK133099@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>In this talk we design and analyze a class of two-level 
 non-overlapping additive Schwarz preconditioners for the solution of the l
 inear system of equations stemming from high-order/hp version discontinuou
 s Galerkin discretizations of second-order elliptic partial differential e
 quations on polytopic meshes. The preconditioner is based on a coarse spac
 e and a non-overlapping partition of the computational domain where local 
 solvers are applied in parallel. In particular\, the coarse space can pote
 ntially be chosen to be non-embedded with respect to the finer space\; ind
 eed it can be obtained from the fine grid by employing agglomeration and e
 dge coarsening techniques. We investigate the dependence of the condition 
 number of the preconditioned system with respect to the diffusion coeffici
 ent and the discretization<br> parameters\, i.e.\, the mesh size and the p
 olynomial degree of the fine and coarse spaces. Numerical examples are pre
 sented which confirm the theoretical bounds.</span><br><br><br><br><br>
LOCATION:Seminar Room 1\, Newton Institute
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