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تسجيل مستخدم جديدLocal 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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English
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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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