Eigensolution Analysis of the Discontinuous Galerkin Method with Non-uniform Grids , Part I : One Space Dimension

  title={Eigensolution Analysis of the Discontinuous Galerkin Method with Non-uniform Grids , Part I : One Space Dimension},
  author={Fang Q. Hu and Old},
We present a detailed study of spatially propagating waves in a discontinuous Galerkin scheme applied to a system of linear hyperbolic equations. We start with an eigensolution analysis of the semi-discrete system in one space dimension with uniform grids. It is found that, for any given order of the basis functions, there are at most two spatially propagating numerical wave modes for each physical wave of the Partial Di erential Equations (PDE). One of the modes can accurately represent the… CONTINUE READING
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