A Split-form, Stable CG/DG-SEM for Wave Propagation Modeled by Linear Hyperbolic Systems

We present a hybrid continuous and discontinuous Galerkin spectral element approximation that leverages the advantages of each approach. The is used on interior faces where equation properties are continuous. A at physical boundaries if there jump in face. uses split form equations two-point fluxes to ensure stability for unstructured quadrilateral/hexahedral meshes with curved elements. also conservative constant state preserving such meshes. Spectral accuracy obtained all examples, which include wave scattering medium boundary.