Qiu, LiangliangDeng, WeihuaHesthaven, Jan S.2014-10-272014-10-272014-10-27201510.1016/j.jcp.2015.06.022https://infoscience.epfl.ch/handle/20.500.14299/108032WOS:000358796700038This paper, as the sequel to previous work, develops numerical schemes for fractional diffusion equations on a two-dimensional finite domain with tri- angular meshes. We adopt the nodal discontinuous Galerkin methods for the full spatial discretization by the use of high-order nodal basis, employ- ing 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.2D fractional diffusion equationtriangular meshesnodal dis- continuous Galerkin methods.text::journal::journal article::research article