Inexact GMRES: Stokes equation
收藏DataCite Commons2020-09-04 更新2024-07-27 收录
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Figures and plotting scripts.<br>Figures 10–14 of the paper: <i>"Inexact Krylov iterations and relaxation strategies with fast-multipole boundary element method"</i><br>Submitted for peer review.<br>Fig. 10: (StokesConvergence.pdf)Convergence of the boundary-integral solution for Stokes flow around a sphere, using a first-kind equation; <i>p</i>=16, linear system solved to 10^-5 tolerance. The relative error is with respect to the analytical solution for drag on a sphere.<br>Fig. 11: (StokesResidualHistory.pdf)Residual history solving for surface traction on the surface of a sphere (first-kind integral problem), with a 10^-5 solver tolerance, 8,192 panels, and <i>p</i>=16 in the multipole expansions.<br>Fig. 12: (StokesSolveBreakdown.pdf)Time breakdown between P2P and M2L when using a relaxation strategy for solving surface traction on the surface of a sphere, 10^-5 solver tolerance, 8,192 panels, <i>p</i>=16.<br>Fig. 13: (StokesSpeedupRelaxation.pdf)Speed-up for solving first-kind Stokes equation on the surface of a sphere, varying <i>N</i>. 10^-5 solver tolerance, <i>p</i>=16.<br>Fig. 14: (StokesSpeedupTolerance.pdf)Speed-ups for solving a 1st-kind Stokes problem on a sphere discretized with 8,192 panels, as the GMRES solver's tolerance increases; <i>p</i>=16 for all cases.
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figshare
创建时间:
2016-03-09



