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Multigrid Methods for Space Fractional Partial Differential Equations

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 نشر من قبل Yingjun Jiang
 تاريخ النشر 2015
  مجال البحث
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We propose some multigrid methods for solving the algebraic systems resulting from finite element approximations of space fractional partial differential equations (SFPDEs). It is shown that our multigrid methods are optimal, which means the convergence rates of the methods are independent of the mesh size and mesh level. Moreover, our theoretical analysis and convergence results do not require regularity assumptions of the model problems. Numerical results are given to support our theoretical findings.



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