Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes

• Published in: Journal of computational physics Vol. 298; pp. 678 - 694
• Main Authors: Qiu, Liangliang, Deng, Weihua, Hesthaven, Jan S.
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.10.2015
• Subjects: 2D fractional diffusion equation; Convergence; Diffusion; Galerkin methods; Mathematical analysis; Mathematical models; Nodal discontinuous Galerkin methods; Optimization; Polynomials; Triangular meshes; Two dimensional; Nodal discontinuous Galerkin methods; Triangular meshes; 2D fractional diffusion equation

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 m...