Discontinuous Galerkin Methods for Friedrichs’ Symmetric Systems. I. General Theory∗

  title={Discontinuous Galerkin Methods for Friedrichs’ Symmetric Systems. I. General Theory∗},
  author={J.-L. GUERMOND},
  • Published 2004
This paper presents a unified analysis of Discontinuous Galerkin methods to approximate Friedrichs’ symmetric systems. An abstract set of conditions is identified at the continuous level to guarantee existence and uniqueness of the solution in a subspace of the graph of the differential operator. Then a general Discontinuous Galerkin method that weakly enforces boundary conditions and mildly penalizes interface jumps is proposed. All the design constraints of the method are fully stated, and an… CONTINUE READING

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