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SOLVING THE STOKES PROBLEM ON A MASSIVELY PARALLEL COMPUTER

2001
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Mathematical Modelling and Analysis
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We describe a numerical procedure for solving the stationary two-dimensional Stokes problem based on piecewise linear finite element approximations for both velocity and pressure, a regularization technique for stability, and a defect‐correction technique for improving accuracy. Eliminating the velocity unknowns from the algebraic system yields a symmetric positive semidefinite system for pressure which is solved by an inner‐outer iteration. The outer iterations consist of the unpreconditioned

doi:10.3846/13926292.2001.9637141
fatcat:mycp7syzcnbwvgiqlz3vkcvivq