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Local discontinuous Galerkin method for the fractional diffusion equation with integral fractional Laplacian

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 نشر من قبل Weihua Deng Professor
 تاريخ النشر 2021
  مجال البحث الهندسة المعلوماتية
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In this paper, we provide a framework of designing the local discontinuous Galerkin scheme for integral fractional Laplacian $(-Delta)^{s}$ with $sin(0,1)$ in two dimensions. We theoretically prove and numerically verify the numerical stability and convergence of the scheme with the convergence rate no worse than $mathcal{O}(h^{k+frac{1}{2}})$.



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