Discontinuous Galerkin On Graphics Processing Units
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Discontinuous Galerkin (DG) is a popular class of numerical methods for solving partial differential equations (PDEs). Like any other finite element method, the solution inside each mesh element is approximated by a set of basis functions in DG. However, as indicated by the name, no continuity restrictions are enforced at element interfaces. The coupling between adjacent elements only comes in with uniquely defined inter-element numerical fluxes. The discontinuity nature might be counterintuitive at first glance, while it buys DG many advantages over traditional numerical methods.