BEGIN:VCALENDAR
PRODID:-//Microsoft Corporation//Outlook MIMEDIR//EN
VERSION:2.0
BEGIN:VEVENT
DTSTART:20141118T173000Z
DTEND:20141118T180000Z
LOCATION:393-94-95
DESCRIPTION;ENCODING=QUOTED-PRINTABLE:ABSTRACT: We present a novel numerical scheme for solving the Stokes equation=0Awith variable coefficients in the unit box. Our scheme is based on a=0Avolume integral equation formulation. We employ a novel adaptive fast=0Amultipole method for volume integrals to obtain a scheme that is=0Aalgorithmically optimal. To increase performance, we have integrated=0Aour code with both NVIDIA and Intel accelerators. Overall, our scheme=0Asupports non-uniform discretizations and is spectrally accurate.  In=0Aour largest run we solved a problem with 20 billion unknowns, using a=0A14-order approximation for the velocity, on 2048 nodes of the Stampede=0Aplatform at the Texas Advanced Computing Center. We achieved 0.656=0APetaFLOPS for the overall code (20% efficiency) and 1 PetaFLOPS for=0Athe fast multipole part (40% efficiency).  As an application example, we simulate Stokes flow in a porous medium with highly complex pore structure using a penalty formulation to enforce the no slip condition.
SUMMARY:A Volume Integral Equation Stokes Solver for Problems with Variable Coefficients
PRIORITY:3
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