Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6931270 | Journal of Computational Physics | 2015 | 17 Pages |
Abstract
This paper, as the sequel to previous work, develops numerical schemes for fractional diffusion equations on a two-dimensional finite domain with triangular meshes. We adopt the nodal discontinuous Galerkin methods for the full spatial discretization by the use of high-order nodal basis, employing multivariate Lagrange polynomials defined on the triangles. Stability analysis and error estimates are provided, which shows that if polynomials of degree N are used, the methods are (N+1)-th order accurate for general triangulations. Finally, the performed numerical experiments confirm the optimal order of convergence.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Liangliang Qiu, Weihua Deng, Jan S. Hesthaven,