Symmetric Discontinuous Galerkin Approximations of 1-D Waves : Fourier Analysis, Propagation, Observability and Applications (SpringerBriefs in Mathematics)

Finally, the book explains how these results can be extended to other more sophisticated conforming and non-conforming finite element methods, in particular to quadratic finite elements, local discontinuous Galerkin methods and a version of the SIPG method adding penalization on the normal derivatives of the numerical solution at the grid points.