Article ID Journal Published Year Pages File Type
10356000 Journal of Computational Physics 2014 20 Pages PDF
Abstract
A high order discretization strategy for solving hyperbolic initial-boundary value problems on hybrid structured-unstructured grids is proposed. The method leverages the capabilities of two distinct families of polynomial elements: discontinuous Galerkin discretizations which can be applied on elements of arbitrary shape, and Hermite discretizations which allow highly efficient implementations on staircased Cartesian grids. We demonstrate through numerical experiments in 1+1 and 2+1 dimensions that the hybridized method is stable and efficient.
Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
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